Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2018 (2018), Article ID 3732892, 6 pages
https://doi.org/10.1155/2018/3732892
Research Article

Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem

Department Physik, Universität Paderborn, 33095 Paderborn, Germany

Correspondence should be addressed to Arno Schindlmayr; ed.nrobredap-inu@ryamldnihcs.onra

Received 18 August 2017; Accepted 13 December 2017; Published 3 January 2018

Academic Editor: John D. Clayton

Copyright © 2018 Arno Schindlmayr. 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.

Linked References

  1. W. Kohn, “Nobel lecture: electronic structure of matter—wave functions and density functional,” Reviews of Modern Physics, vol. 71, no. 5, pp. 1253–1266, 1999. View at Publisher · View at Google Scholar · View at Scopus
  2. W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, “Quantum Monte Carlo simulations of solids,” Reviews of Modern Physics, vol. 73, no. 1, pp. 33–83, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. F. Bechstedt, Many-Body Approach to Electronic Excitations, vol. 181 of Springer Series in Solid-State Sciences, Springer, Heidelberg, Germany, 2015. View at MathSciNet
  4. F. Aryasetiawan and K. Karlsson, “Green's function formalism for calculating spin-wave spectra,” Physical Review B: Condensed Matter and Materials Physics, vol. 60, no. 10, pp. 7419–7428, 1999. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Friedrich, E. Şaşıoğlu, M. Müller, A. Schindlmayr, and S. Blügel, “Spin excitations in solids from many-body perturbation theory,” in First-Principles Approaches to Spectroscopic Properties of Complex Materials, C. Di Valentin, S. Botti, and M. Cococcioni, Eds., vol. 347 of Topics in Current Chemistry, pp. 259–302, Springer, Berlin, Germany, 2014. View at Google Scholar
  6. K. Karlsson and F. Aryasetiawan, “Spin-wave excitation spectra of nickel and iron,” Physical Review B: Condensed Matter and Materials Physics, vol. 62, no. 5, pp. 3006–3009, 2000. View at Publisher · View at Google Scholar · View at Scopus
  7. E. Şaşıoğlu, A. Schindlmayr, C. Friedrich, F. Freimuth, and S. Blügel, “Wannier-function approach to spin excitations in solids,” Physical Review B: Condensed Matter and Materials Physics, vol. 81, no. 5, Article ID 054434, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Schindlmayr, C. Friedrich, E. Şaşıoğlu, and S. Blügel, “First-principles calculation of electronic excitations in solids with SPEX,” Zeitschrift für Physikalische Chemie, vol. 224, no. 3-4, pp. 357–368, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Y. Savrasov, “Linear response calculations of spin fluctuations,” Physical Review Letters, vol. 81, no. 12, pp. 2570–2573, 1998. View at Publisher · View at Google Scholar · View at Scopus
  10. P. Buczek, A. Ernst, P. Bruno, and L. M. Sandratskii, “Energies and lifetimes of magnons in complex ferromagnets: A first-principle study of Heusler alloys,” Physical Review Letters, vol. 102, no. 24, Article ID 247206, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. P. Buczek, A. Ernst, and L. M. Sandratskii, “Different dimensionality trends in the Landau damping of magnons in iron, cobalt, and nickel: Time-dependent density functional study,” Physical Review B: Condensed Matter and Materials Physics, vol. 84, no. 17, Article ID 174418, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. S. Lounis, A. T. Costa, R. B. Muniz, and D. L. Mills, “Theory of local dynamical magnetic susceptibilities from the Korringa-Kohn-Rostoker Green function method,” Physical Review B: Condensed Matter and Materials Physics, vol. 83, no. 3, Article ID 035109, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. K. Tatarczyk, A. Schindlmayr, and M. Scheffler, “Exchange-correlation kernels for excited states in solids,” Physical Review B: Condensed Matter and Materials Physics, vol. 63, no. 23, Article ID 235106, 2001. View at Publisher · View at Google Scholar
  14. M. C. T. D. Müller, C. Friedrich, and S. Blügel, “Acoustic magnons in the long-wavelength limit: Investigating the Goldstone violation in many-body perturbation theory,” Physical Review B: Condensed Matter and Materials Physics, vol. 94, no. 6, Article ID 064433, 2016. View at Publisher · View at Google Scholar · View at Scopus
  15. O. Gunnarsson and B. I. Lundqvist, “Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism,” Physical Review B: Condensed Matter and Materials Physics, vol. 13, no. 10, pp. 4274–4298, 1976. View at Publisher · View at Google Scholar · View at Scopus
  16. P.-O. Löwdin, “Quantum theory of many-particle systems. I. Physical interpretations by means of density matrices, natural spin-orbitals, and convergence problems in the method of configurational interaction,” Physical Review, vol. 97, no. 6, pp. 1474–1489, 1955. View at Publisher · View at Google Scholar · View at Scopus
  17. T. L. Gilbert, “Hohenberg-Kohn theorem for nonlocal external potentials,” Physical Review B: Condensed Matter and Materials Physics, vol. 12, no. 6, pp. 2111–2120, 1975. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Sharma, J. K. Dewhurst, N. N. Lathiotakis, and E. K. U. Gross, “Reduced density matrix functional for many-electron systems,” Physical Review B: Condensed Matter and Materials Physics, vol. 78, no. 20, Article ID 201103, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. A. Schindlmayr, “The GW approximation for the electronic self-energy,” in Many-Electron Approaches in Physics, Chemistry and Mathematics, V. Bach and L. Delle Site, Eds., vol. 29 of Mathematical Physics Studies, pp. 343–357, Springer International, Cham, Switzerland, 2014. View at Google Scholar