Tunnel Contacts for Spin Injection into Silicon: The Si-Co Interface with and without a MgO Tunnel Barrier—A Study by High-Resolution Rutherford Backscattering

Dash, S. P.; Goll, D.; Kopold, P.; Carstanjen, H. D.

doi:https://doi.org/10.1155/2012/902649

Advances in Materials Science and Engineering

On this page

Abstract Introduction Acknowledgments References Copyright Related Articles

Special Issue

Modification, Synthesis, and Analysis of Advanced Materials Using Ion Beam Techniques

View this Special Issue

Review Article | Open Access

Volume 2012 | Article ID 902649 | https://doi.org/10.1155/2012/902649

Tunnel Contacts for Spin Injection into Silicon: The Si-Co Interface with and without a MgO Tunnel Barrier—A Study by High-Resolution Rutherford Backscattering

S. P. Dash,^1,2D. Goll,^2,3P. Kopold,²and H. D. Carstanjen²

Academic Editor: Adam Georg Balogh

Received30 Jun 2011

Revised20 Sept 2011

Accepted20 Sept 2011

Published22 Dec 2011

Abstract

In order to obtain high spin injection efficiency, a ferromagnet-semiconducor Schottky contact must be of high crystalline quality. This is particularly important in the case of ferromagnet-silicon interfaces, since these elements tend to mix and form silicides. In this study Co-Si (100) interfaces were prepared in three different ways: by evaporation at room temperature, low temperature (), and with Sb as surfactant, and their interface structures were analyzed by high-resolution RBS (HRBS). In all cases more or less strong in-diffusion of Co with subsequent silicide formation was observed. In order to prevent the mixing of Co and Si, ultra thin MgO tunnel barriers were introduced in-between them. In situ HRBS characterization confirms that the MgO films were very uniform and prevented the mixing of the Si substrate with deposited Co and Fe films effectively, even at .

1. Introduction

Exploiting the spin of the electron in addition to its charge to explore a new generation of spintronic devices which will be smaller, more versatile and more robust than those currently making up silicon chips have both fundamental and technological importance [1–7]. High spin polarization of Co at room temperature (~40%) [8] and expected long spin coherence length in Si (longer than micrometers) [9] make the material couple Co and Si attractive for spin injection experiments. In such a heterostructure of a Co thin film on a Si substrate, any structural disorder at the interface would drastically reduce the spin polarization at the interface and, hence, the spin injection efficiency [10–15]. If a small amount of Co diffuses into the Si, each such Co atom will be likely to carry a local magnetic moment oriented randomly with respect to the magnetization direction of the Co thin film. They will scatter the injected spin polarized electrons, thereby degrading their spin polarization [14, 15].

Co and Si are known to form various types of silicides that exhibit different degrees of magnetization, that is, nonmagnetic, paramagnetic, or ferromagnetic. When spin-polarized electrons pass through such a silicide region, their polarization is very likely to degrade. The processes involved have not been treated completely and in detail up to present, but the following effects may play an important role: electrons enter a region of different magnetization (magnitude or orientation). Electrons pass a rough interface between regions of different magnetization; such rough interfaces are known to cause strong depolarization [10]. In paramagnetic areas the magnetic moments commonly are not oriented; similarly to the above case of isolated Co atoms they will scatter the injected electrons. In a similar way any kind of magnetic defect may work. One also should not forget about the depolarizing influence of the various Schottky contacts between different silicides.

Thus in order to control and improve the properties of the interface, a detailed understanding of its structure is necessary. In this paper we present results where we studied the Co-Si (100) interface prepared in four different ways: (1) by deposition of Co at room temperature, (2) by deposition of Co at low temperature (−60°C), (3) by deposition of Co at room temperature using Sb as surfactant, and (4) with a MgO tunnel barrier at the Co-Si interface. The different types of interfaces were analyzed in situ, that is, during preparation by high depth resolution Rutherford backscattering spectroscopy (HRBS). The HRBS data in turn provide depth profiles of Co, Si, Sb, Mg, and O with monolayer depth resolution. In this way they give information about the sharpness of the interface and the homogeneity of the Co and MgO thin films and allow in particular identifying various types of cobalt silicides as a function of depth. The data on the Co-Si Schottky interface have been published before in three publications [16–18] and are here summarized in a comparative way. The data on the MgO tunnel barrier are new.

2. The Direct Co-Si (100) (Schottky) Interface

2.1. Introduction

The phenomena observed at the initial stages of Co deposition on a Si substrate seem to be unique and depend on the preparation conditions and are still discussed controversially [19–23]. About the growth mode of Co on Si, Cho et al. [19] suggested that the Co atoms grow in a layer-by-layer mode, without any interdiffusion, whereas Meyerheim et al. [20] and Rangelov et al. [21] could see an in-diffusion of Co atoms for coverages higher than 0.5 ML of Co. For the Si (100) surface, AES and surface-extended X-ray-absorption fine-structure (EXAFS) measurements [19–23] showed that one can distinguish between several stages of the initial adsorption of Co on Si (100) surfaces at room temperature. About the atomic positions of Co atoms on Si (100) (see Figure 1), Meyerheim et al. [20], Scheuch et al. [22], and Gomoyunova et al. [23] found that Co is adsorbed in fourfold hollow sites (nearly in plane, ) in every second (110) row of the Si (100) surface. Cho et al. [19] have found that the preferred adsorption sites are on top of a Si dimer ( sites) and sites spanning the (110) trench (HB sites). However, density functional calculations [24] suggested that the and HB sites are energetically unfavourable (see Figure 1). Concerning the positions of the in-diffused Co atoms, Meyerheim et al. [20] could distinguish between several stages of growth. In the regime of 0.5–2.5 ML, Co atoms diffuse into the Si lattice occupying interstitial sites, for the regime above 2.5 ML the substitution of the Si host atoms by Co takes place, and for coverages above 19 ML a locally ordered metallic overlayer starts to grow.

Controversies also exist about the growth mode of Co. Does there exist a critical coverage of Co for the in-diffusion of Co and the out-diffusion of Si atoms? How thick is the silicide layer formed at the interface, what is its chemical composition, and which are the diffusing species at different stages of growth?

In a previous letter [16] we have addressed some of these controversies by an in situ investigation of the growth of thin Co films (0.08–2.93 ML) on Si (100) at room temperature with high-resolution Rutherford backscattering spectrometry (HRBS). It turned out that Co diffuses into the Si bulk right from the beginning, that is, already at a Co coverage as low as 0.08 ML. For higher coverage various silicide phases start to grow at the surface, but no pure Co film, even at the highest coverage (2.93 ML of Co) is investigated in this study. In order to reduce the in-diffusion of Co and the out-diffusion of Si and to enhance the growth of layers of pure Co two ways were followed in two subsequent investigations: (a) Co deposition was done while keeping the substrate at lower temperature, –60°C [17]; (b) a thin layer of surfactant (1 ML of Sb) was used to reduce the amount of out-diffusion of Si to the surface during Co deposition [18]. Both techniques were helpful to reduce the silicide formation to some extent but could not stop it in total. The results of these three investigations are reported in a summarized version in the subsequent Sections 2.2 and 2.3.

2.2. Experimental

The in situ HRBS measurements were performed in an ultra high vacuum (UHV) system consisting of a preparation chamber, connected to a Pelletron accelerator, and an electrostatic spectrometer [25] for energy analysis of the scattered ions. In case of room temperature (RT) and low-temperature (LT) deposition of Co, 2 MeV N⁺ ions at incidence angles of 2° to the sample surface and at a scattering angle of 37.5° were used for the HRBS analysis. The energy resolution of the spectrometer setup was 4 keV in this case which corresponds to 1 Å depth resolution in Si and 0.5 Å in Co. In two cases (surfactant-mediated deposition and RT deposition of higher amounts of Co, Figure 4) 2 MeV He⁺ ions were used for analysis with incidence angles of 7.5° and 4.5°, respectively, but the same scattering angle of 37.5°. According to this scattering angle all analysis experiments presented here are actually “forward scattering experiments”, but from principle forward and backscattering are all Rutherford scattering. And since Rutherford backscattering spectroscopy (RBS) is the far better known technique, we will call it HRBS in the following. We also want to note that, in order to minimize effects of radiation damage due to the ion beam, a new beam spot on the Si wafer was used for each measurement. Control spectra was taken on the same spot to estimate the influence of radiation damage and potential mixing, but within statistical errors no effect was found.

For the deposition experiments chemically cleaned n-Si (100) with resistivity of 4–10 Ω cm (P doped) were used which were further cleaned in UHV by flash heating at 950°C. From this temperature the samples were slowly cooled down to RT or −60°C, depending on the experimental requirement. These temperatures were maintained as well during Co deposition as during the HRBS measurements. The surface cleanness of the Si samples was verified by HRBS measurements (sensitivity about 5%). Co with 4 N purity was evaporated from an effusion cell at a rate of 0.05 ML/min (1 ML = 6.87 × 10¹⁴ atoms/cm² = number density of Si (100) layers). Before use the effusion cell was outgassed; no C or O contaminants were found during evaporation. The evaporation rate was calibrated by HRBS with an accuracy of about 5%. As mentioned above, each HRBS spectrum was taken on a new spot (size ~1 mm²) to minimize the influence of radiation damage. In the case of surfactant-mediated growth of Co, 1 ML of Sb was deposited before the evaporation of Co. This monolayer of Sb was supposed to float at the surface of the deposited Co, in this way preventing the outdiffusion of Si.

2.3. Results and Discussion

Figures 2(a) and 2(c) show HRBS spectra of Co on Si (100) during the deposition of small amounts of Co (less than 3 ML) for the substrate temperatures of 20°C and −60°C, respectively. In addition, Co depth profiles are shown in Figures 2(b) and 2(d) as obtained from the spectra by simulating the spectra with the computer code RUMP [26]. In these simulations the Si sample was subdivided into monolayers of Si (each 6.87 × 10¹⁴ atoms/cm² thick) and the Co concentration in each layer adjusted until an optimum fit between simulation and HRBS spectrum was obtained. As is obvious from the spectra, Co atoms diffuse into the Si sample right from the beginning of the deposition at both deposition temperatures—as expected to larger depths for the higher temperature. As seen further, an enrichment of Co is present in the top-most layers which is the first Si layer at 20°C (layer 0 in Figure 2(b)) and the first adsorption layer at −60°C (layer +1 in Figure 2(d)). Besides, the deposition at RT leads to the development of a subsurface enrichment of Co (about 2-3 Si layers below the surface, see Figure 2(a)). This is similar to results about a subsurface Au-enriched phase in a liquid AuSi alloy [27]. In these systems such a configuration is stabilized by the minimization of the free energy, essentially consisting of atomic binding and surface energies, and the entropy of mixing. In solids strain energy enters in addition. At low temperature, a different depth profile is observed. It consists of a diffusion profile, overlaid by oscillations (Figure 2(c)). The oscillations are due to the fact that every second Si layer is Co depleted. This is similar to the model for the diffusion microstructure of Ni in Si (100) by Chang and Erskine [28] and the distribution of metal atoms in metal alloys like Cu₃Au [29] close to the surface. A similar behaviour is also observed for the growth of Fe on Si (100) at very low coverage at room temperature [30]. Again such a configuration is stabilized by the minimization of the Gibbs-free energy, consisting of atomic binding, strain and surface energies, and the entropy of mixing.

Figure 2

Co on Si (100), low coverage (≤1.3 ML). Panels at the left-hand side: Co edge of HRBS spectra (circles) and RUMP simulations (solid lines). Panels at the right hand side: Co concentrations as determined by the RUMP simulations versus depth (depth scale: monolayers of Si, each at./cm² thick). (a) Co deposition at RT. The peaks between 1800 and 1810 keV are due to backscattering from Co at the surface, the other peaks in the range of 1785–1800 keV due to Co atoms in the Si bulk (subsurface enrichment). (b) Co concentration profiles (Co/Si) in subsequent layers of the sample as obtained from (a) by RUMP simulations. Layer 0 is the topmost Si layer; −1, −2, −3, −4, and −5 are subsequent layers in the bulk. Note that the -axes for 0.08 and 1.19 ML have scales different from others. (c) Co deposition at −60°C. The peaks between 1800 and 1805 keV are due to backscattering from Co at the surface. The oscillations in the Co concentration mentioned in the text are clearly visible. (d) Co concentration (Co/Si) in the various Si (100) layers of the Si crystal as derived from (c) by RUMP simulations. Layer 1 (hatched column) corresponds to Co atoms on top of the Si crystal, layer 0 is the first Si layer, and layers −1, −2, −3, and −4 are subsequent layers in the Si bulk (solid columns).

With increasing amounts of deposited Co (see Figures 3 and 4), first various types of partially also stoichiometric silicides appear at the surface until, finally, layers of pure Co grow on top of them. However, great differences are observed as well in the onset of the growth of pure Co layers as in the composition and distribution of the silicides. They seem to depend strongly on the growth conditions, that is, growth at RT, LT, or with Sb as surfactant. While for Co deposition at RT the formation of such a pure layer of Co is first seen at an amount of about 23 ML of deposited Co (Figure 3), it is already observed for amounts of about 6 ML of Co for LT (Figure 3) and 3 ML of Co for surfactant-mediated deposition (Figure 4). Concerning silicide formation, at RT deposition almost stoichiometric CoSi (below 6 ML: Co_0.6Si_0.4, above 6 ML: Co_0.5Si_0.5) forms at the interface which grows thicker and thicker (Figures 3 and 4). Only at high amounts of deposition also other phases form as kind of transition between Si bulk and CoSi, and CoSi and Co at the surface: at the Si-CoSi interface a CoSi₂-like phase and towards the surface a Co₂Si phase. This is different for LT and surfactant-mediated deposition. At LT deposition the Co_0.5Si_0.5 phase forms at the interface, followed by a low-concentration tail of Co towards the Si bulk (Figure 3). It is similar to the case of surfactant-mediated deposition. Here the “Co tail” consists of a layer of 10 ML of CoSi₂ at the interface and another 7 ML of CoSi₄ towards the Si bulk (Figure 4). This interface structure stabilizes at 19 ML of deposited Co and stays like this up to the highest amount of Co deposited in this investigation, that is, 38 ML. It is interesting to note that the surfactant Sb stays, as expected, at the surface of the sample during deposition (see Figure 4(b)). Only at larger amounts of deposited Co some mixing of Sb and Co occurs.

(a)

(b)

Figure 3

HRBS spectra of both the Si and Co edges: (a) 5.93 ML of Co deposited at −60°C and (b) 23.42 ML of Co deposited at room temperature (22°C), together with simulations of the spectra by RUMP (solid lines through the data). The insets show the Si and Co concentrations at the interface as obtained from the RUMP simulations (depth scale: monolayers of Si, each at./cm² thick). The right hand side of the concentration profiles corresponds to the free surface of the Co/Si. Layer 0 was deliberately put into the Si bulk.

Figure 4

Co on Si, higher coverage (≥2 ML). Panels at left-hand side: Co and Si (and Sb) HRBS spectra (circles) and RUMP simulations (solid lines). Panels at the right-hand side: Co and Si concentrations as derived by RUMP (depth scale: monolayers of Si, each at./cm² thick). The right-hand side of the concentration profiles corresponds to the free surface of the samples. (a) Co deposition at RT. (b) Co and Si concentration profiles derived from (a). (c) Surfactant-mediated deposition of Co at RT. (d) Co and Si concentration profiles derived from (c). The right-hand side of the concentration profiles corresponds to the free surface of the samples. The right-hand side of the concentration profiles corresponds to the surface of the Co/Si samples (which in case of the Sb-mediated deposition is below an Sb layer). Layer 0 was deliberately put into the Si bulk.

In Figure 5, finally, the Co and Si depth profiles for the thickest deposited layers of Co as obtained from the RUMP simulations are compared for the three different deposition conditions. As already stated above, the structures of the Co-Si interfaces exhibit marked differences. for Co deposition at RT (23 ML, Figure 5(c)) a broad layer of Co_0.5Si_0.5 (18.8 Å) is formed between two thin transition layers of CoSi₂ (2.2 Å) and Co₂Si (3.75 Å). Only a very thin layer of pure Co is present. For Co deposition at LT (5.93 ML, Figure 5(b)) also in this case thin layer of Co_0.5Si_0.5 exists at the interface with a thin layer of pure Co on top. (The thinness of this layer is due to the small amount of deposited Co. It would certainly grow for higher amounts of Co.) But here a long tail of different low-Co concentration silicides is observed towards the Si bulk. For surfactant-mediated deposition a similar tail of low-Co concentration silicides is found, but in this case it consists, as said above, of two well-defined silicides with stoichiometric compositions: 10 ML of CoSi₂ and 7 ML of CoSi₄. The Co_0.5Si_0.5 phase, present in the other cases, could not be found.

(a)

(b)

(c)

Figure 5

Co and Si (and Sb) concentrations as derived by RUMP simulations from the HRBS data of Figures 3 and 4. (c) Growth of 23.4 ML of Co on Si at room temperature, (b) 5.93 ML of Co deposited at low temperature (−60°C), and (a) growth of 19 ML of Co on Si with Sb as a surfactant. They seem to be representative for the interface structure in a stationary state. The free surface of the three samples is located at the right-most rim of the profiles. Layer 0 was deliberately put into the Si bulk.

It should be noted that in all cases flat surfaces are maintained during Co deposition. No roughening is observed; it should show up in rounding off of the high-energy edge of the HRBS spectra [31] which is absent in all cases. At higher amounts of deposited Co even a layer-by-layer growth occurs. This is perhaps most evident from the HRBS spectra of Sb-mediated growth at RT from Figure 4(b). Here the high-energy Si edge shifts almost parallel with increasing Co deposition, since a homogeneous Co film builds up on top. No Si is found at the surface; only the Co film is getting thicker. This is a clear indication of Sb working as surfactant properly: due to its low surface energy Sb suppresses the segregation of Si at the surface and apparently also the formation of additional silicides at the interface. This is different for RT deposition of Co without Sb as surfactant. Here right from the beginning a CoSi-like phase is formed continuously, until a large amount of deposited Co (about 16 ML) first a Co₂Si phase and finally (after about 23 ML of Co) a film of pure Co starts to grow. But also here no Si is segregating at the surface in the form of a layer of pure Si. This would definitely be visible in the Si HRBS spectrum of Figure 4(a). These observations contrast to a certain degree to the findings of a very recent paper by Pronin et al. [32]. There the authors studied RT deposition of Co on Si (100) by high-resolution photoelectron spectroscopy and a few other techniques in a thorough investigation. The authors claim the segregation of a Si surface layer and, besides, the growth of a layer of pure Co, starting at a Co coverage of about 0.7 nm. Both findings seem not to be in agreement with our observations. It will be interesting to solve this riddle and find a solution which satisfies both investigations.

We finally want to note that there exist differences in the surface energy of the Cobalt spectra presented in different panels. They are due to slightly different incident energies of the ion beam, since the experiments were performed on different days.

3. The Co-Si (100) Interface with a MgO Tunnel Barrier

3.1. Introduction

As evident, for example, from the results presented in Section 2, Co-Si (100) interfaces are in no way sharp with an abrupt transition between Co and Si but show diffusion of Co and Si with spontaneous silicide formation at the interface at room temperature [16, 20] and even below room temperature [17]. This structural disorder at the interface would drastically reduce the spin-polarization at the interface and, hence, the spin injection efficiency [15]. On the other hand, tunnel barriers in between a ferromagnet and a semiconductor have proven to be high-quality spin-selective barriers in a prototype GaAs system [33, 34] and, most recently, in the case of Si [1, 10–12, 35–37]. Using a tunnel barrier on Si has mainly two advantages: (i) it forms a chemical barrier between the FM and the Si and (ii) it has a good spin-selective tunnel resistance. When an Al₂O₃ tunnel contact is used [1, 10–12, 35, 36], the maximum spin injection that can be achieved might be limited by the scattering and depolarization of spin-polarized carriers due to its amorphous nature. An alternative approach for increasing the spin polarization is to use a crystalline MgO tunnel barrier. There a large spin polarization (~50%) was achieved using a CoFe/MgO tunnel injector on a GaAs LED structure [34].

In the present study magnesium oxide (MgO) was chosen as tunnel barrier on Si for several reasons. (i) It is chemically inert and thermally stable and should, therefore, result in sharp interfaces with both Si and ferromagnetic metals, (ii) MgO has a wide band gap (7.3 eV), ensuring a large band offset with Si to minimize leakage currents, and (iii) the crystalline properties will facilitate coherent tunnelling of spin polarized electrons. MgO is a highly insulating crystalline solid with NaCl structure. The lattice constant of MgO is 4.211 Å, whereas that of Si is 5.431 Å, implying a direct lattice mismatch of −22.5%, but there is a near commensurate match with Si at a 4 : 3 ratio of the lattice constants (four MgO to three Si lattice constants). Fork et al. first reported epitaxial growth of thick MgO films on Si (100) by pulsed laser deposition [38]. The interface with Si was found to be incommensurate but abrupt and free from secondary phases or interdiffusion. Also for the case of an ultra-thin MgO film on Si (100), the interface is expected to be incommensurate at the early stages of growth due to the presence of large lattice mismatch. So the minimization of the defect density in the epitaxial growth of an ultra-thin MgO film on Si (100) can be a real challenge.

For the realization of a high tunnelling magneto-resistive effect, the ultra-thin MgO barrier on Si should satisfy certain important issues. First, the tunnel barrier should be pin-hole free: the requirement for low-resistance tunnel junctions pushes the barrier thickness to lower length scales, making barrier pinholes a real and significant problem. The relative contributions from the two conduction channels—elastic tunneling through the insulating spacer and ballistic spin polarized transport through the narrow pinhole shorts—can also change the magnetoresistive response [39]. Secondly, the thermal stability of the ferromagnetic metals on thin tunnel junctions is important, due to compatibility issues with existing complementary metal-oxide semiconductor CMOS processes, that is, for the production of magnetic random access memories and for sensor applications where high-temperature operation can be important. Also the thermal stability of magnetic tunnel junctions is of considerable interest because their performance has been shown to be improved by annealing [40]. The third important issue is that of the optimization of the resistance-area product of such tunnel barriers. Fert and Jaffer’s calculations reveal that a reasonable value of the magnetoresistance (MR) can only be obtained in the FM/I/Si/I/FM structure if the resistance-area (RA) product of both FM/I/Si contacts is in a relatively narrow range [41].

In Section 3 the growth and characterization of ultra-thin MgO films are explored on Si (100) by reactive molecular beam epitaxy. Its interface with the Si substrate and the ferromagnetic metal has been studied by in situ HRBS and ex situ HR-TEM. The thermal stability of ultra-thin Co (and also Fe) films on such MgO tunnel barriers has been verified by thermal annealing and in situ HRBS measurements. The issue of tailoring the resistance-area product of the tunnel contact has been addressed by down-scaling the barrier thickness to the sub-nanometer regime and, in other way, by producing oxygen deficient tunnel barriers.

3.2. Experimental

Equilibrium thermodynamic data suggest that MgO is stable against the formation of interfacial compounds with Si. But in the case of reactive molecular beam epitaxy where metallic Mg is used as the cation source along with (an oxidising background source of) O₂ gas, kinetic limitations may supplant equilibrium considerations. Potential aggravating effects are (i) substrate oxidation prior to initiation of film growth and (ii) magnesium silicide formation at the interface. These effects correspond to the two extremes in growth conditions, requiring a better understanding of their relative importance. It is therefore important to find an appropriate growth regime that at least partially overcomes these effects. In the sample preparation, precautions were taken to avoid the above mentioned effects by a particular growth procedure. First 0.5 ML of Mg was evaporated on cleaned Si (100) which is expected to occupy the cave sites (see Figure 1) on the Si (100) surface without any silicide formation [42–44] and then oxygen was streamed into the chamber. In this way both, silicide formation and also the oxidation of Si could be avoided. The growth of the stoichiometric MgO films was then continued by evaporating Mg at a rate of 1 ML/min at an oxygen pressure of 1 × 10⁻⁷ mbar. On top of these MgO films thin films of Co (3 ML) or Fe (4 ML) were deposited by evaporation with a Knudsen cell in a some cases.

For characterizing these ultra-thin MgO tunnel barriers in atomic detail again in situ HRBS was used. The measurements were carried out in the same way as described in Section 2.2. 2 MeV N⁺ ions at an incidence angle of 10° to the sample surface and a scattering angle of 37.5° were used for the analysis, if not stated otherwise. n-type Si (100) samples with resistivity 4–10 Ω-cm (P doped) were cleaned in UHV by flash heating at 1050°C. The surface cleanness of the Si samples was verified by HRBS measurements. Before use the effusion cell was outgassed; no C or O contaminants were found during evaporation. The evaporation rates of the metals to be evaporated, Mg, Co, and Fe, were calibrated by HRBS with an accuracy of about 5%. In addition HR-TEM measurements were carried out to reveal the structure of the MgO tunnel barrier and its interfaces.

3.3. Results and Discussion

3.3.1. MgO Tunnel Barrier on Si

Figure 6(a) shows the HRBS spectra of the Si sample before and after the evaporation of 18 ML of MgO. The high-energy edge of the clean Si sample is at 1620 kev. After the evaporation of the MgO layer the Si surface edge is shifted almost parallel to lower energies (1600 keV), besides a slight kink at about 2/3 of the spectrum height (see the following). The two peaks, observed on the Si background spectrum at 1560 keV and 1350 keV, are due to the Mg, and O in the grown MgO thin film on the Si substrate, respectively. The spectrum was simulated by the program RUMP [26], in order to obtain more detailed information about the thickness and composition of the MgO film, and its interface structure with Si. In these simulations the sample was subdivided into thin sublayers of the thickness of 1 × 10¹⁵ atoms/cm². The composition of each sublayer was varied and the HRBS spectrum calculated for the assumed Mg and O concentrations and depth distributions until good agreement with the experimental data was achieved. According to these results the grown MgO film on the average is about 18.3 ML thick, has a more or less sharp interface with Si (uncertainty about 1 ML), and exhibits the composition Mg_0.5O_0.5, with the exception of a very thin surface layer (2 ML) which has the composition Mg_0.3O_0.7, that is, exhibits an O surplus (roughly 1 complete ML). This increased O content of the surface layer is well visible in the oxygen spectrum of Figure 6(a) and may be due to the fact that some residual oxygen gas was left in the preparation chamber after closing the oxygen bottle and so on the surface of the MgO film.

(a)

(b)

Figure 6

(a) HRBS spectra of a Si sample before and after MgO evaporation. Before evaporation: spectrum of the high-energy Si edge (solid circles) and RUMP simulation (solid line) of the clean Si. After MgO evaporation: spectrum of Si with Mg and O peaks of the 18.3 ML thick MgO film on top (open circles) and RUMP simulation (solid line) of the 18.3 ML thick MgO film as prepared on Si (100) surface. The spectrum shows that the MgO film is very uniform. Surplus oxygen at the surface of the MgO film is clearly visible. (b) HR-TEM cross-sectional micrograph of a Si (100)/MgO (18.3 ML)/Co structure. The lines have been added at the interfaces to aid the eye in distinguishing the layers of small contrast difference.

The almost parallel shift of the high-energy edge of Si gives strong evidence that the MgO layer is quite uniform in thickness and that no excessive island formation has occurred. From the RUMP simulation, a thickness fluctuation of the MgO thin film of only 2 ML is found (indeed the slight kink in the Si slope mentioned above indicates that about 1/3 of the MgO layer has a thickness of 19 ML and 2/3 a thickness of 18 ML). It is to be noted that in case of the presence of excessive island growth the Si high-energy edge would not shift in such a parallel manner. Besides, the almost trapezoidal shapes of the Mg and O parts of the spectrum are indicative of a very homogeneous MgO layer; here, island growth would have resulted in a more triangular shape. From the comparison with the RUMP simulation the MgO-Si interface was found to be very sharp, hence ruling out the formation of extended Mg-silicide phases or a strong oxidation of the Si surface.

in general, the presence of pin-holes in ultra-thin films is a real and serious problem [39]. In order to further verify the very positive properties of the MgO barrier, HR-TEM studies were carried out. Figure 6(b) shows an HR-TEM micrograph of a Co/MgO (18 ML)/Si (100) heterostructure. The image shows a good morphology with rather smooth and flat layers. the MgO layer has crystalline structure and a very sharp interface with Si. The results confirm the good homogeneity of the film derived from the HRBS results. TEM pictures taken from various parts of the film (not shown here) show that this MgO film does not have pin-holes.

3.3.2. Growth of Ferromagnetic Metal on MgO Tunnel Barrier

Thin layers of the ferromagnetic metals Co and Fe were grown on these MgO tunnel barriers. The layers were characterized in situ by HRBS 2 MeV N⁺ ions at an incidence angle of 8° and 2 MeV He⁺ ions at an incidence angle of 3° to the sample surface for Co and Fe cases, respectively. The scattering angle was 37.5° for both cases. The HRBS spectra at the energy edges of Co and Fe are shown in Figures 7(a) and 7(b), respectively, for various film thicknesses. From the very beginning of growth of both Co and Fe (0.05 ML), island growth is evident because of the presence of long tails of the HRBS peaks towards lower energies. This is quite understandable because of very different surface-free energies of MgO (1.1 J/m²) at the one hand and Co or Fe (~2.9 J/m²) on the other hand. So layer-by-layer growth is not favoured for ferromagnetic metals on MgO. In order to obtain detailed information about the growth, the HRBS spectra of the 3 ML Co and 4 ML Fe thin films were simulated by the program RUMP with the built-in routine “FUZZ” which simulates thickness fluctuations in a layer. The data could best be fitted by assuming the growth of pure ferromagnetic metal (Co, Fe) films of a roughness of ~2 ML (standard deviation).

(a)

(b)

(c)

(d)

Figure 7

HRBS spectra of grown and thermal stability of ferromagnetic metal films (Co, Fe) on a MgO tunnel barrier/Si (100) structure. (a) Growth of Co (0.05–3 ML) using 2 Mev N⁺ ions for analysis at an incidence angle of 8°. RUMP simulation is also shown for 3 ML of Co. (b) Growth of Fe (0.05–4 ML) using 2 Mev He⁺ ions at an incidence angle of 3°. RUMP simulation is also shown for 4 ML of Fe. (c) HRBS spectra of 3 ML of Co as prepared (open circles) and after annealing at 450°C for 15 min (solid line). (d) HRBS spectra of 3 ML of Fe as prepared (open circles) and after annealing at 450°C for 15 min (solid line). No major changes are visible.

3.3.3. Thermal Stability of Ferromagnetic Films on the MgO Tunnel Barriers

The thermal stability of the MBE-grown ferromagnet-MgO tunnel junctions on Si (100) was studied by annealing them at 450°C for 15 min and analyzing them in situ by HRBS. The HRBS spectra of the 3 ML Co and 4 ML Fe films evaporated on such MgO tunnel barriers are shown in Figures 7(c) and 7(d) in the as-prepared and the annealed state. As evident from the figures, the Co and Fe profiles do not show any change upon annealing. This means that they are thermally stable up to 450°C. The slight increase in the maximum count rate of the Fe spectrum after annealing is probably due to the fact that the Fe film becomes more homogeneous after annealing. The great thermal stability of these Co and Fe films should be compared with the thermal behaviour of Co and Fe films on pure Si (100) substrates. In the latter case strong in-diffusion of the metals and out-diffusion of Si is observed which leads to pronounced silicide formation (see Section 2 and [44, 45]). Nothing like this is observed in the present case which means that the barrier is stable against diffusion and does not show pin holes to a larger amount.

3.3.4. Optimization of Resistance-Area Product

The issue of tailoring the resistance-area product of a ferromagnetic metal-MgO-Si structure has been addressed by (i) scaling down the thickness of the MgO film into the sub-nanometer regime and (ii) producing tunnel barriers having less oxygen content. Both procedures should result in a reduced resistivity of the tunnel barrier.

(i) Downscaling of MgO Tunnel Barrier Thickness
Following the motivation to decrease the resistance-area product of the tunnel junctions, an ultra-thin MgO tunnel barrier with a thickness in the sub-nanometer regime has been fabricated. As the oxide thickness is decreased below 1 nm, meeting the reliability specifications becomes even more challenging.

The HRBS spectrum of an ultra-thin and stoichiometric MgO tunnel barrier prepared on Si (100) is shown in Figure 8, before and after the evaporation of MgO. After evaporation of MgO, the Si surface edge is shifted almost parallel towards lower energies, besides again a slight kink at about 1/3 of the height of the Si spectrum. This kink indicates that about 2/3 of the film has a thickness of 8 ML and about 1/3 a thickness of 7 ML. The two peaks at 1560 keV and 1350 keV are again due to Mg and O in the MgO thin film, respectively. The grown MgO film is on the average about 7.7 ML thick with a thickness fluctuation of about 1 ML, has a rather sharp interface with Si, and exhibits a composition of Mg_0.5O_0.5. The (almost parallel) shift of the Si surface edge towards lower energy is due to complete coverage of the Si surface by the MgO layer. The MgO-Si interface was found to be rather sharp from the simulation (uncertainty about 1 ML), hence ruling out the formation of an extended silicide phase or strong oxidation of the Si surface.

(ii) Oxygen Deficient Tunnel Barrier
In another step to tailor the resistance of the MgO tunnel barrier, an oxygen deficient tunnel barrier was prepared. In the preparation by reactive molecular beam epitaxy, first a few monolayers of stoichiometric MgO were grown and then the O content was decreased towards the surface. Such an oxygen-deficient tunnel barrier has two advantages: (1) it will exhibit a lower resistance; (2) it will not oxidize the ferromagnetic metal evaporated on it. The oxygen-deficient MgO barrier was again characterized in situ by HRBS and ex situ by HRTEM to get in-depth information about the composition, thickness, interface quality, and structure.

Figure 9(a) shows the HRBS spectra before and after the evaporation of MgO onto the cleaned Si (100) surface. After evaporation of MgO the Si surface edge is again shifted almost parallel towards lower energies. There are some slight deviations from parallel that cannot be resolved too well and seem to indicate some thickness fluctuations of the film (of the order of 1-2 ML). The two peaks observed on the Si background, at 1560 keV and 1350 keV, which are due to Mg and O in the grown MgO thin film, now show a different structure than in case of Figure 6(a). According to the RUMP simulation the grown MgO film is on the average 23 ML thick. The composition of MgO is found to be stoichiometric Mg_0.5O_0.5 at the interface, but the surface is deficient of oxygen and enriched with Mg as desired. Besides, this can be directly seen from the spectra. Further, the almost parallel shift of the high-energy edge of Si gives strong evidence that the 23 ML MgO_x layer is quite uniform in thickness (as stated above with a thickness fluctuation of 1-2 ML) and no extensive island formation has occurred. The MgO-Si interface is found to be rather sharp from the RUMP simulation, hence ruling out the formation of any extended silicide phase or strong oxidation of the Si surface.

(a)

(b)

Figure 9(b) shows the high-resolution TEM micrograph of the Co/MgO_x/Si (100) heterostructure. The image shows a good morphology with extremely smooth, flat layers and free of pin-holes. This result is in quite good agreement with the HRBS analysis. But the MgO film in this case is found to be amorphous in structure. So decreasing the oxygen content in the grown MgO tunnel barrier apparently ended with an amorphous structure.

4. Summary

In the first part of this paper results about the preparation and investigation of Co-Si (100) Schottky interfaces are presented. The Schottky contacts were prepared in three ways: by evaporation at room temperature (RT), at −60°C (LT), and at RT with Sb as surfactant. Their structures were in situ studied by high-resolution RBS (HRBS). In all cases Co diffuses into the Si substrate right from the beginning, but to a lesser degree at LT and with Sb as surfactant. For small amounts of deposited Co (less than about 1.3 ML) a subsurface enrichment of Co is observed for RT deposition, but for LT deposition kind of a diffusion profile with overlaid oscillations. These oscillations are due to the suppression of Co in every second Si layer.

At higher amounts of deposited Co, the formation of various types of silicides is observed. But there exist big differences, depending on the deposition technique. For RT deposition about stoichiometric CoSi is formed at the interface. Its thickness continuously grows with the deposition until finally (at around 24 ML of Co) metallic Co is formed at the surface. Only very thin layers of other silicides grow on both sides of the CoSi layer. For LT deposition already at about 6 ML of deposited Co metallic Co grows at the surface. It is separated from the Si bulk by a thin layer of CoSi and a subsequent tail of various low-Co content silicides. For Sb-mediated deposition already at 3 ML of deposited Co metallic Co grows at the surface. Also in this case a long tail consisting of various low-Co content silicides extends towards the Si bulk, but no stoichiometric CoSi is formed. As expected, the Sb surfactant floats at the Co surface most of the time. Only for large amounts of deposited Co some mixing occurs.

In the second part the fabrication and characterization of ultra-thin crystalline MgO tunnel barriers on Si (100) and some of the important properties required for tunnel barriers on Si have been addressed. Ultra-thin stoichiometric MgO tunnel barriers prepared on Si (100) by reactive molecular beam epitaxy are found to be very homogeneous, without pin-holes, crystalline in structure, and to have a sharp interface with the Si (100) substrate. Co and Fe on such a MgO tunnel barrier were found to have island-like growth with a rough surface, but to be quite stable up to 450°C, which is important for the integration into integrated circuits. In a move to decrease the resistance of the tunnel barriers, we have fabricated sub-nanometer thin tunnel barriers and oxygen-deficient tunnel barriers. Ultra-thin tunnel barriers of sub-nanometer thickness could be prepared with a sharp interface to the Si substrate with ~2 ML roughness. Oxygen-deficient tunnel barriers were found to be amorphous, but also with a sharp interface with Si (100) and quite homogeneous. These ferromagnet/MgO/Si (100) systems are promising for spin injection into Si.

Acknowledgments

The authors would like to acknowledge M. Bechtel, Dr. F. Philipp, Dr. Á. Szőkefalvi-Nagy of the MPI IS (former MPI MF), and Alaka Tripathy for kind cooperation.

References

S. P. Dash, S. Sharma, R. S. Patel, M. P. de Jong, and R. Jansen, “Electrical creation of spin polarization in silicon at room temperature,” Nature, vol. 462, no. 7272, pp. 491–494, 2009.
View at: Publisher Site | Google Scholar
S. Datta and B. Das, “Electronic analog of the electro-optic modulator,” Applied Physics Letters, vol. 56, no. 7, pp. 665–667, 1990.
View at: Publisher Site | Google Scholar
S. A. Wolf, D. D. Awschalom, R. A. Buhrman et al., “Spintronics: a spin-based electronics vision for the future,” Science, vol. 294, no. 5546, pp. 1488–1495, 2001.
View at: Publisher Site | Google Scholar
C. Chappert, A. Fert, and F. N. van Dau, “The emergence of spin electronics in data storage,” Nature Materials, vol. 6, no. 11, pp. 813–823, 2007.
View at: Publisher Site | Google Scholar
J. Fabian, A. Matos-Abiague, C. Ertler, P. Stano, and I. Žutić, “Semiconductor spintronics,” Acta Physica Slovaca, vol. 57, no. 4-5, pp. 565–907, 2007.
View at: Google Scholar
I. Žutić, J. Fabian, and S. D. Sarma, “Spintronics: fundamentals and applications,” Reviews of Modern Physics, vol. 76, no. 2, pp. 323–410, 2004.
View at: Publisher Site | Google Scholar
R. Jansen, B. C. Min, and S. P. Dash, “Oscillatory spin-polarized tunnelling from silicon quantum wells controlled by electric field,” Nature Materials, vol. 9, no. 2, pp. 133–138, 2010.
View at: Publisher Site | Google Scholar
R. J. Soulen, J. M. Byers, M. S. Osofsky et al., “Measuring the spin polarization of a metal with a superconducting point contact,” Science, vol. 282, no. 5386, pp. 85–88, 1998.
View at: Publisher Site | Google Scholar
A. G. Arnov and G. E. Pikus, “Spin injection into semiconductors,” Soviet Physics—Semiconductors, vol. 10, no. 6, pp. 698–700, 1976.
View at: Google Scholar
S. P. Dash, S. Sharma, J. C. Le Breton et al., “Spin precession and inverted Hanle effect in a semiconductor near a finite-roughness ferromagnetic interface,” Physical Review B, vol. 84, no. 5, Article ID 054410, 11 pages, 2011.
View at: Publisher Site | Google Scholar
R. Jansen, B. C. Min, S. P. Dash et al., “Electrical spin injection into moderately doped silicon enabled by tailored interfaces,” Physical Review B, vol. 82, no. 24, Article ID 241305, 4 pages, 2010.
View at: Publisher Site | Google Scholar
S. P. Dash, S. Sharma, J. C. Le Breton, and R. Jansen, “Silicon spintronics at room temperature,” in Spintronics III, vol. 7760 of Proceedings of SPIE, San Diego, Calif, USA, August 2010.
View at: Publisher Site | Google Scholar
R. S. Patel, S. P. Dash, M. P. de Jong, and R. Jansen, “Magnetic tunnel contacts to silicon with low-work-function ytterbium nanolayers,” Journal of Applied Physics, vol. 106, no. 1, Article ID 016107, 2009.
View at: Publisher Site | Google Scholar
I. Žutić and J. Fabian, “Spintronics: silicon twists,” Nature, vol. 447, no. 7142, pp. 269–270, 2007.
View at: Publisher Site | Google Scholar
G. Kioseoglou, A. T. Hanbicki, R. Goswami et al., “Electrical spin injection into Si: a comparison between Fe/Si Schottky and Fe/ Al₂O₃ tunnel contacts,” Applied Physics Letters, vol. 94, no. 12, Article ID 122106, 2009.
View at: Publisher Site | Google Scholar
S. P. Dash, D. Goll, and H. D. Carstanjen, “Subsurface enrichment of Co in Si (100) at initial stages of growth at room temperature: a study by high-resolution Rutherford backscattering,” Applied Physics Letters, vol. 90, no. 13, Article ID 132109, 2007.
View at: Publisher Site | Google Scholar
S. P. Dash, D. Goll, and H. D. Carstanjen, “Near-surface compositional oscillations of Co diffused into Si(100) at -60 °c: a study by high-resolution Rutherford backscattering,” Applied Physics A, vol. 91, no. 3, pp. 379–383, 2008.
View at: Publisher Site | Google Scholar
S. P. Dash, D. Goll, and H. D. Carstanjen, “Improvement of interface structure and magnetic properties of Co on Si (100) by surfactant (Sb) mediated growth,” Applied Physics A, vol. 97, no. 3, pp. 651–656, 2009.
View at: Publisher Site | Google Scholar
W. S. Cho, J. Y. Kim, N. G. Park et al., “Atomic structure of ultrathin Co layer on Si(001) (2 × 1) at room temperature,” Surface Science, vol. 453, no. 1–3, pp. L309–L314, 2000.
View at: Google Scholar
H. L. Meyerheim, U. Döbler, A. Puschmann, and K. Baberschke, “Preparation-dependent Co/Si(100) (2 × 1) interface growth: spontaneous silicide formation versus interstitial-site mechanism,” Physical Review B, vol. 44, p. 5738, 1990.
View at: Google Scholar
G. Rangelov, P. Augustin, J. Stober, and T. Fauster, “Initial stages of epitaxial CoSi₂ formation on Si(100) surfaces,” Physical Review B, vol. 49, no. 11, pp. 7535–7542, 1994.
View at: Publisher Site | Google Scholar
V. Scheuch, B. Voigtländer, and H. P. Bonzel, “Nucleation and growth of CoSi₂ on Si(100) studied by scanning tunneling microscopy,” Surface Science, vol. 372, no. 1–3, pp. 71–82, 1997.
View at: Google Scholar
M. V. Gomoyunova, I. I. Pronin, N. R. Gall, S. L. Molodtsov, and D. V. Vyalykh, “Silicon surface reconstruction lost upon cobalt adsorption,” Technical Physics Letters, vol. 29, no. 6, pp. 496–499, 2001.
View at: Publisher Site | Google Scholar
A. P. Horsfield, S. D. Kenny, and H. Fujitani, “Density-functional study of adsorption of Co on Si(100),” Physical Review B, vol. 64, no. 24, Article ID 245332, pp. 2453321–2453326, 2001.
View at: Google Scholar
T. Enders, M. Rilli, and H. D. Carstanjen, “A high-resolution electrostatic spectrometer for the investigation of near-surface layers in solids by high-resolution Rutherford backscattering with MeV ions,” Nuclear Instruments and Methods in Physics Research B, vol. 136, p. 1183, 1992.
View at: Google Scholar
L. R. Doolittle and M. O. Thompson, RUMP, Computer Graphics Service, 2002.
O. G. Shpyrko, R. Streitel, V. S. K. Balagurusamy et al., “Surface crystallization in a liquid AuSi alloy,” Science, vol. 313, no. 5783, pp. 77–80, 2006.
View at: Publisher Site | Google Scholar
Y. J. Chang and J. L. Erskine, “Diffusion-layer microstructure of Ni on Si(100),” Physical Review B, vol. 26, no. 8, pp. 4766–4769, 1982.
View at: Publisher Site | Google Scholar
H. Reichert, P. J. Eng, H. Dosch, and I. K. Robinson, “Thermodynamics of surface segregation profiles at Cu₃Au(001) resolved by x-ray scattering,” Physical Review Letters, vol. 74, no. 11, pp. 2006–2009, 1995.
View at: Publisher Site | Google Scholar
S. P. Dash and H. D. Carstanjen, “Initial stages of growth of iron on silicon for spin injection through Schottky barrier,” Physica Status Solidi B, vol. 248, p. 2300, 2011.
View at: Google Scholar
K. Kimura, K. Ohshima, and M. H. Mannami, “Initial stage of Ag growth on Si(001) studied by high-resolution Rutherford-backscattering spectroscopy,” Physical Review B, vol. 52, no. 8, pp. 5737–5742, 1995.
View at: Publisher Site | Google Scholar
I. I. Pronin, M. V. Gomoyunova, S. M. Solov'ev, O. Y. Vilkov, and D. V. Vyalikh, “Initial stages of the growth and magnetic properties of cobalt films on the Si(100) 2 × 1 surface,” Surface Physics, vol. 53, p. 616, 2011.
View at: Google Scholar
V. F. Motsnyi, J. De Boeck, J. Das et al., “Electrical spin injection in a ferromagnet/tunnel barrier/semiconductor heterostructure,” Applied Physics Letters, vol. 81, no. 2, p. 265, 2002.
View at: Publisher Site | Google Scholar
X. Jiang, R. Wang, R. M. Shelby et al., “Highly spin-polarized room-temperature tunnel injector for semiconductor spintronics using MgO(100),” Physical Review Letters, vol. 94, no. 5, Article ID 056601, 4 pages, 2005.
View at: Publisher Site | Google Scholar
B. T. Jonker, G. Kioseoglou, A. T. Hanbicki, C. H. Li, and P. E. Thompson, “Electrical spin-injection into silicon from a ferromagnetic metal/tunnel barrier contact,” Nature Physics, vol. 3, no. 8, pp. 542–546, 2007.
View at: Publisher Site | Google Scholar
O. M. J. van 't Erve, A. T. Hanbicki, M. Holub et al., “Electrical injection and detection of spin-polarized carriers in silicon in a lateral transport geometry,” Applied Physics Letters, vol. 91, no. 21, Article ID 212109, 2007.
View at: Publisher Site | Google Scholar
T. Sasaki, T. Oikawa, T. Suzuki, M. Shiraishi, Y. Suzuki, and K. Tagami, “Electrical spin injection into silicon using MgO tunnel barrier,” Applied Physics Express, vol. 2, no. 5, Article ID 053003, 2009.
View at: Publisher Site | Google Scholar
D. K. Fork, F. A. Ponce, J. C. Tramontana, and T. H. Geballe, “Epitaxial MgO on Si(001) for Y-Ba-Cu-O thin-film growth by pulsed laser deposition,” Applied Physics Letters, vol. 58, no. 20, pp. 2294–2296, 1991.
View at: Publisher Site | Google Scholar
S. Mukhopadhyay and I. Das, “Inversion of magnetoresistance in magnetic tunnel junctions: Effect of pinhole nanocontacts,” Physical Review Letters, vol. 96, no. 2, Article ID 026601, 4 pages, 2006.
View at: Publisher Site | Google Scholar
R. Wang, X. Jiang, R. M. Shelby et al., “Increase in spin injection efficiency of a CoFeMgO (100) tunnel spin injector with thermal annealing,” Applied Physics Letters, vol. 86, no. 5, Article ID 052901, 3 pages, 2005.
View at: Publisher Site | Google Scholar
A. Fert and H. Jaffrès, “Conditions for efficient spin injection from a ferromagnetic metal into a semiconductor,” Physical Review B, vol. 64, Article ID 184420, 2004.
View at: Publisher Site | Google Scholar
M. R. J. van Buuren, C. L. Griffiths, and H. van Kempen, “Chemical interactions and Schottky barrier determinations at the Mg/Si(100) interface studied using X-ray photoelectron spectroscopy,” Surface Science, vol. 314, no. 2, pp. 172–178, 1994.
View at: Google Scholar
P. Hutchison, M. M. R. Evans, and J. Nogami, “Initial stages of Mg growth on the Si(001) surface studied by STM,” Surface Science, vol. 411, no. 1-2, pp. 99–110, 1998.
View at: Google Scholar
E. S. Cho, C. H. Lee, C. C. Hwang et al., “High-resolution core-level photoelectron spectroscopy of Mg/Si(100) surfaces,” Surface Science, vol. 523, no. 1-2, pp. 30–36, 2003.
View at: Publisher Site | Google Scholar
G. J. van Gurp, W. F. van der Weg, and D. Sigurd, “Interactions in the Co/Si thin-film system: II. Diffusion-marker experiments,” Journal of Applied Physics, vol. 49, no. 7, pp. 4011–4020, 1978.
View at: Publisher Site | Google Scholar

Copyright

Copyright © 2012 S. P. Dash et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PDF Download Citation

Download other formats

Order printed copies

Views

1232

Downloads

1828

Citations