Table of Contents
Physics Research International
Volume 2012, Article ID 762798, 9 pages
http://dx.doi.org/10.1155/2012/762798
Research Article

Microscopic Theory of Multipole Ordering in -Electron Systems

1Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
2Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan

Received 31 August 2011; Accepted 2 February 2012

Academic Editor: Vladimir Shavrov

Copyright © 2012 Takashi Hotta. 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. T. Hotta, “Orbital ordering phenomena in d- and f-electron systems,” Reports on Progress in Physics, vol. 69, no. 7, article R02, pp. 2061–2155, 2006. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. Kuramoto, H. Kusunose, and A. Kiss, “Multipole orders and fluctuations in strongly correlated electron systems,” Journal of the Physical Society of Japan, vol. 78, no. 7, Article ID 072001, 2009. View at Publisher · View at Google Scholar
  3. P. Santini, S. Carretta, G. Amoretti, R. Caciuffo, N. Magnani, and G. H. Lander, “Multipolar interactions in f-electron systems: the paradigm of actinide dioxides,” Reviews of Modern Physics, vol. 81, no. 2, pp. 807–863, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. K. Kuwahara, K. Iwasa, M. Kohgi, N. Aso, M. Sera, and F. Iga, “Detection of neutron scattering from phase IV of Ce0.7La 0.3B6: a confirmation of the octupole order,” Journal of the Physical Society of Japan, vol. 76, no. 9, Article ID 093702, 2007. View at Publisher · View at Google Scholar
  5. Y. Tokunaga, Y. Homma, S. Kambe et al., “NMR evidence for triple-q; multipole structure in NpO2,” Physical Review Letters, vol. 94, no. 13, Article ID 137209, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. K. Kubo and T. Hotta, “Microscopic theory of multipole ordering in NpO2,” Physical Review B, vol. 71, no. 14, Article ID 140404, 2005. View at Publisher · View at Google Scholar
  7. K. Kubo and T. Hotta, “Analysis of f-p model for octupole ordering in NpO2,” Physical Review B, vol. 72, no. 13, Article ID 132411, 2005. View at Publisher · View at Google Scholar
  8. K. Kubo and T. Hotta, “Multipole ordering in f-electron systems on the basis of a j-j coupling scheme,” Physical Review B, vol. 72, no. 14, Article ID 144401, 2005. View at Publisher · View at Google Scholar
  9. P. Santini, S. Carretta, N. Magnani, G. Amoretti, and R. Caciuffo, “Hidden order and low-energy excitations in NpO2,” Physical Review Letters, vol. 97, no. 20, Article ID 207203, 2006. View at Publisher · View at Google Scholar
  10. M.-T. Suzuki, N. Magnani, and P. M. Oppeneer, “First-principles theory of multipolar order in neptunium dioxide,” Physical Review B, vol. 82, no. 24, Article ID 241103, 2010. View at Publisher · View at Google Scholar
  11. H. Sato, H. Sugawara, Y. Aoki, and H. Harima, “Magnetic properties of filled skutterudites,” in Handbook of Magnetic Materials, K. H. J. Buschow, Ed., vol. 18, pp. 1–110, Elsevier, Amsterdam, The Netherlands, 2009. View at Google Scholar
  12. Y. Aoki, T. Namiki, S. Ohsaki, S. R. Saha, H. Sugawara, and H. Sato, “Thermodynamical study on the heavy-fermion superconductor PrOs4Sb12: evidence for field-induced phase transition,” Journal of the Physical Society of Japan, vol. 71, no. 9, pp. 2098–2101, 2002. View at Publisher · View at Google Scholar · View at Scopus
  13. T. Tayama, T. Sakakibara, H. Sugawara, Y. Aoki, and H. Sato, “Magnetic phase diagram of the heavy fermion superconductor PrOs4Sb12,” Journal of the Physical Society of Japan, vol. 72, no. 6, pp. 1516–1522, 2003. View at Publisher · View at Google Scholar · View at Scopus
  14. R. Shiina and Y. Aoki, “Theory of field-induced phase transition in PrOs4Sb12,” Journal of the Physical Society of Japan, vol. 73, no. 3, pp. 541–544, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. T. Takimoto, “Antiferro-hexadecapole scenario for metal-insulator transition in PrRu4P12,” Journal of the Physical Society of Japan, vol. 75, no. 3, Article ID 034714, 2006. View at Publisher · View at Google Scholar
  16. K. Iwasa, L. Hao, K. Kuwahara et al., “Evolution of 4f electron states in the metal-insulator transition of PrRu4P12,” Physical Review B, vol. 72, no. 2, Article ID 024414, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. A. Kiss and Y. Kuramoto, “Scalar order: possible candidate for order parameters in skutterudites,” Journal of the Physical Society of Japan, vol. 75, no. 10, Article ID 103704, 2006. View at Publisher · View at Google Scholar
  18. O. Sakai, J. Kikuchi, R. Shiina et al., “Experimental and theoretical studies of NMR in PrFe4P12,” Journal of the Physical Society of Japan, vol. 76, no. 2, Article ID 024710, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. J. Kikuchi, M. Takigawa, H. Sugawara, and H. Sato, “On the symmetry of low-field ordered phase of PrFe4P12: 31P NMR,” Journal of the Physical Society of Japan, vol. 76, no. 4, Article ID 043705, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. T. Hotta and K. Ueda, “Construction of a microscopic model for f-electron systems on the basis of a j-j coupling scheme,” Physical Review B, vol. 67, no. 10, Article ID 104518, 2003. View at Google Scholar
  21. T. Hotta, “Spin and orbital structure of uranium compounds on the basis of a j-j coupling scheme,” Physical Review B, vol. 70, no. 5, pp. 054405–10, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Onishi and T. Hotta, “An orbital-based scenario for the magnetic structure of neptunium compounds,” New Journal of Physics, vol. 6, article 193, 2004. View at Publisher · View at Google Scholar
  23. K. Kubo and T. Hotta, “Multipole ordering in f-electron systems,” Physica B, vol. 378-380, pp. 1081–1082, 2006. View at Publisher · View at Google Scholar · View at Scopus
  24. T. Hotta, “Magnetic fluctuations of filled skutterudites emerging in the transition region between singlet and triplet states,” Physical Review Letters, vol. 94, no. 6, Article ID 067003, 2005. View at Publisher · View at Google Scholar
  25. T. Hotta, “Microscopic approach to magnetism and superconductivity of f-electron systems with filled skutterudite structure,” Journal of the Physical Society of Japan, vol. 74, no. 4, pp. 1275–1288, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. T. Hotta, “Multipole fluctuations in filled skutterudites,” Journal of the Physical Society of Japan, vol. 74, no. 9, pp. 2425–2429, 2005. View at Publisher · View at Google Scholar · View at Scopus
  27. T. Hotta and H. Harima, “Effective crystalline electric field potential in a j-j coupling scheme,” Journal of the Physical Society of Japan, vol. 75, no. 12, Article ID 124711, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. T. Hotta, “Microscopic aspects of multipole properties of filled skutterudites,” Journal of Magnetism and Magnetic Materials, vol. 310, no. 2, pp. 1691–1697, 2007. View at Publisher · View at Google Scholar · View at Scopus
  29. T. Hotta, “Multipole susceptibility of multiorbital Anderson model coupled with Jahn-Teller phonons,” Journal of the Physical Society of Japan, vol. 76, no. 3, Article ID 034713, 2007. View at Publisher · View at Google Scholar
  30. T. Hotta, “Multipole state of heavy lanthanide filled skutterudites,” Journal of the Physical Society of Japan, vol. 76, no. 8, Article ID 083705, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. T. Hotta, “Multipole as f-electron spin-charge density in filled skutterudites,” Journal of the Physical Society of Japan, vol. 77, supplement A, pp. 96–101, 2008. View at Google Scholar
  32. T. Hotta, “Field-induced multipole states of Sm-based filled skutterudites,” Journal of the Physical Society of Japan, vol. 77, no. 7, Article ID 074716, 2008. View at Publisher · View at Google Scholar
  33. T. Hotta, “Magnetically robust multipole Kondo effect,” Journal of Physics: Conference Series, vol. 150, no. 4, Article ID 042061, 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. T. Hotta, “Construction of a microscopic model for Yb and Tm compounds on the basis of a j-j coupling scheme,” Journal of the Physical Society of Japan, vol. 79, no. 9, Article ID 094705, 2010. View at Publisher · View at Google Scholar
  35. T. Hotta, “Microscopic analysis of multipole susceptibility of actinide dioxides: a scenario of multipole ordering in AmO2,” Physical Review B, vol. 80, no. 2, Article ID 024408, 2009. View at Publisher · View at Google Scholar
  36. F. Niikura and T. Hotta, “Magnetic behavior of curium dioxide with a nonmagnetic ground state,” Physical Review B, vol. 83, no. 17, Article ID 172402, 2011. View at Publisher · View at Google Scholar
  37. M. T. Hutchings, “Point-charge calculations of energy levels of magnetic ions in crystalline electric fields,” Solid State Physics, vol. 16, pp. 227–273, 1964. View at Publisher · View at Google Scholar · View at Scopus
  38. K. R. Lea, M. J. M. Leask, and W. P. Wolf, “The raising of angular momentum degeneracy of f-electron terms by cubic crystal fields,” Journal of Physics and Chemistry of Solids, vol. 23, no. 10, pp. 1381–1405, 1962. View at Google Scholar · View at Scopus
  39. J. C. Slater, Quantum Theory of Atomic Structure, McGraw-Hill, New York, NY, USA, 1960.
  40. J. C. Slater and G. F. Koster, “Simplified LCAO method for the periodic potential problem,” Physical Review, vol. 94, no. 6, pp. 1498–1524, 1954. View at Publisher · View at Google Scholar · View at Scopus
  41. R. R. Sharma, “General expressions for reducing the Slater-Koster linear combination of atomic orbitals integrals to the two-center approximation,” Physical Review B, vol. 19, no. 6, pp. 2813–2823, 1979. View at Publisher · View at Google Scholar · View at Scopus
  42. K. Takegahara, Y. Aoki, and A. Yanase, “Slater-Koster tables for f-electrons,” Journal of Physics C, vol. 13, no. 4, article 016, pp. 583–588, 1980. View at Publisher · View at Google Scholar · View at Scopus
  43. T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics, Springer, Berlin, Germany, 1996.
  44. K. Kubo and T. Hotta, “Magnetic susceptibility of multiorbital systems,” Journal of the Physical Society of Japan, vol. 75, no. 1, Article ID 013702, 2006. View at Publisher · View at Google Scholar
  45. T. Onimaru, T. Sakakibara, N. Aso, H. Yoshizawa, H. S. Suzuki, and T. Takeuchi, “Observation of modulated quadrupolar structures in PrPb3,” Physical Review Letters, vol. 94, no. 19, Article ID 197201, 2005. View at Publisher · View at Google Scholar · View at Scopus
  46. T. Onimaru, K. T. Matsumoto, Y. F. Inoue et al., “Antiferroquadrupolar ordering in a Pr-based superconductor PrIr2Zn20,” Physical Review Letters, vol. 106, no. 17, Article ID 177001, 2011. View at Publisher · View at Google Scholar