10.1126/science.288.5465.462
Crossref journal-article
American Association for the Advancement of Science (AAAS)
Science (221)
Abstract

An electron in a solid, that is, bound to or nearly localized on the specific atomic site, has three attributes: charge, spin, and orbital. The orbital represents the shape of the electron cloud in solid. In transition-metal oxides with anisotropic-shaped d-orbital electrons, the Coulomb interaction between the electrons (strong electron correlation effect) is of importance for understanding their metal-insulator transitions and properties such as high-temperature superconductivity and colossal magnetoresistance. The orbital degree of freedom occasionally plays an important role in these phenomena, and its correlation and/or order-disorder transition causes a variety of phenomena through strong coupling with charge, spin, and lattice dynamics. An overview is given here on this “orbital physics,” which will be a key concept for the science and technology of correlated electrons.

Bibliography

Tokura, Y., & Nagaosa, N. (2000). Orbital Physics in Transition-Metal Oxides. Science, 288(5465), 462–468.

Authors 2
  1. Y. Tokura (first)
  2. N. Nagaosa (additional)
References 68 Referenced 2,267
  1. Kugel K. I., Khomskii D. I., Sov. Phys. JETP 52, 501 (1981). / Sov. Phys. JETP by Kugel K. I. (1981)
  2. 10.1016/S0031-8914(34)90023-9
  3. P. W. Anderson in Solid State Physics F. Seitz and D. Turnbull Eds. (Academic Press New York 1963) vol. 14 p. 99.
  4. Kanamori J., J. Phys. Chem. Solids 10, 87 (1959). (10.1016/0022-3697(59)90061-7) / J. Phys. Chem. Solids by Kanamori J. (1959)
  5. J. B. Goodenough Magnetism and Chemical Bond (Interscience New York 1963).
  6. 10.1098/rspa.1937.0142
  7. J. Kanamori J. Appl. Phys. 31 (suppl.) 14S (1960). (10.1063/1.1984590)
  8. Gehring G. A., Gehring K. A., Rep. Prog. Phys. 38, 1 (1975). (10.1088/0034-4885/38/1/001) / Rep. Prog. Phys. by Gehring G. A. (1975)
  9. 10.1103/PhysRev.82.403
  10. 10.1103/PhysRev.100.675
  11. For a review see for example Y. Tokura Ed. Colossal Magnetoresistive Oxides (Gordon and Breach Science New York 2000) and references therein.
  12. For a review on theories of manganese oxides see for example an article by A. J. Millis in (11) pp. 53–86.
  13. Solovyev I., Hamada N., Terakura K., Phys. Rev. Lett. 76, 4825 (1996). (10.1103/PhysRevLett.76.4825) / Phys. Rev. Lett. by Solovyev I. (1996)
  14. Mizokawa T., Fujimori A., Phys. Rev. B 54, 5368 (1996). (10.1103/PhysRevB.54.5368) / Phys. Rev. B by Mizokawa T. (1996)
  15. Ishihara S., Inoue J., Maekawa S., Phys. Rev. B 55, 8280 (1997). (10.1103/PhysRevB.55.8280) / Phys. Rev. B by Ishihara S. (1997)
  16. 10.1126/science.270.5238.961
  17. Kawano H., et al., Phys. Rev. Lett. 78, 4253 (1997). (10.1103/PhysRevLett.78.4253) / Phys. Rev. Lett. by Kawano H. (1997)
  18. Kuwahara H., Okuda T., Tomioka Y., Asamitsu A., Tokura Y., Phys. Rev. Lett. 82, 4316 (1999). (10.1103/PhysRevLett.82.4316) / Phys. Rev. Lett. by Kuwahara H. (1999)
  19. Kajimoto R., et al., Phys. Rev. B 60, 9506 (1999). (10.1103/PhysRevB.60.9506) / Phys. Rev. B by Kajimoto R. (1999)
  20. Maezono R., Ishihara S., Nagaosa N., Phys. Rev. B 58, 11583 (1998). (10.1103/PhysRevB.58.11583) / Phys. Rev. B by Maezono R. (1998)
  21. Konishi Y., et al., J. Phys. Soc. Jpn. 68, 3790 (1999). (10.1143/JPSJ.68.3790) / J. Phys. Soc. Jpn. by Konishi Y. (1999)
  22. M. v. Zimmermann et al. Phys. Rev. Lett. 83 4872 (1999).
  23. Goodenough J. B., Phys. Rev. 100, 564 (1955). (10.1103/PhysRev.100.564) / Phys. Rev. by Goodenough J. B. (1955)
  24. Anisimov V. I., Elfimov I. S., Korotin M. A., Terakura K., Phys. Rev. B 55, 15494 (1997). (10.1103/PhysRevB.55.15494) / Phys. Rev. B by Anisimov V. I. (1997)
  25. Solovyev I., Terakura K., Phys. Rev. Lett. 83, 2825 (1999). (10.1103/PhysRevLett.83.2825) / Phys. Rev. Lett. by Solovyev I. (1999)
  26. Brink J., Khaliullin G., Khomskii D., Phys. Rev. Lett. 83, 5118 (1999). (10.1103/PhysRevLett.83.5118) / Phys. Rev. Lett. by Brink J. (1999)
  27. Murakami Y., et al., Phys. Rev. Lett. 80, 1932 (1998). (10.1103/PhysRevLett.80.1932) / Phys. Rev. Lett. by Murakami Y. (1998)
  28. Ishikawa T., Ookura K., Tokura Y., Phys. Rev. B 59, 8367 (1999). (10.1103/PhysRevB.59.8367) / Phys. Rev. B by Ishikawa T. (1999)
  29. Damay F., Martin C., Maignan A., Raveau B., J. Appl. Phys. 82, 6181 (1997). (10.1063/1.366543) / J. Appl. Phys. by Damay F. (1997)
  30. Tokura Y., Kuwahara H., Moritomo Y., Tomioka Y., Asamitsu A., Phys. Rev. Lett. 76, 3184 (1996). (10.1103/PhysRevLett.76.3184) / Phys. Rev. Lett. by Tokura Y. (1996)
  31. 10.1103/PhysRevLett.83.4393
  32. 10.1103/PhysRevLett.83.4389
  33. Yamamoto K., Kimura T., Ishikawa T., Katsufuji T., Tokura Y., J. Phys. Soc. Jpn. 68, 2538 (1999). (10.1143/JPSJ.68.2538) / J. Phys. Soc. Jpn. by Yamamoto K. (1999)
  34. Tomioka Y., et al., Appl. Phys. Lett. 70, 3609 (1997). (10.1063/1.119248) / Appl. Phys. Lett. by Tomioka Y. (1997)
  35. E. Saitoh Y. Tomioka T. Kimura Y. Tokura unpublished data.
  36. 10.1103/PhysRevLett.81.192
  37. Okimoto Y., et al., Phys. Rev. Lett. 75, 109 (1995). (10.1103/PhysRevLett.75.109) / Phys. Rev. Lett. by Okimoto Y. (1995)
  38. Sarma D. D., et al., Phys. Rev. B 53, 6873 (1996). (10.1103/PhysRevB.53.6873) / Phys. Rev. B by Sarma D. D. (1996)
  39. Okuda T., et al., Phys. Rev. Lett. 81, 3203 (1998). (10.1103/PhysRevLett.81.3203) / Phys. Rev. Lett. by Okuda T. (1998)
  40. Woodfield B. F., Wilson M. L., Byers J. M., Phys. Rev. Lett. 78, 3201 (1997). (10.1103/PhysRevLett.78.3201) / Phys. Rev. Lett. by Woodfield B. F. (1997)
  41. Ishihara S., Yamanaka M., Nagaosa N., Phys. Rev. B 56, 686 (1997). (10.1103/PhysRevB.56.686) / Phys. Rev. B by Ishihara S. (1997)
  42. Mack F., Horsch P., Phys. Rev. Lett. 82, 3160 (1999). (10.1103/PhysRevLett.82.3160) / Phys. Rev. Lett. by Mack F. (1999)
  43. Motome Y., Imada M., Phys. Rev. B 60, 7921 (1999). (10.1103/PhysRevB.60.7921) / Phys. Rev. B by Motome Y. (1999)
  44. Shiba H., Shiina R., Takahashi A., J. Phys. Soc. Jpn. 66, 941 (1997). (10.1143/JPSJ.66.941) / J. Phys. Soc. Jpn. by Shiba H. (1997)
  45. 10.1126/science.283.5410.2034
  46. Gorkov L. P., Kresin V. Z., J. Supercond. 12, 243 (1999). (10.1023/A:1007756022087) / J. Supercond. by Gorkov L. P. (1999)
  47. Nagaev E. L., Phys. Rev. B 58, 2415 (1998). (10.1103/PhysRevB.58.2415) / Phys. Rev. B by Nagaev E. L. (1998)
  48. Castellani C., Natoli C. R., Ranninnger J., Phys. Rev. B 18, 4945 (1978). (10.1103/PhysRevB.18.4945) / Phys. Rev. B by Castellani C. (1978)
  49. T. M. Rice in Spectroscopy of Mott Insulators and Correlated Materials A. Fujimori and Y. Tokura Eds. (Springer Berlin 1995) pp. 221–229. (10.1007/978-3-642-57834-2_20)
  50. Bao W., Phys. Rev. Lett. 78, 507 (1997). (10.1103/PhysRevLett.78.507) / Phys. Rev. Lett. by Bao W. (1997)
  51. S. Yu. Ezhov
  52. Anisimov V. I., Khomskii D. I., Sawatzky G. A., Phys. Rev. Lett. 83, 4136 (1999). (10.1103/PhysRevLett.83.364) / Phys. Rev. Lett. by Anisimov V. I. (1999)
  53. Sawada H., Terakura K., Phys. Rev. B 58, 6831 (1998). (10.1103/PhysRevB.58.6831) / Phys. Rev. B by Sawada H. (1998)
  54. Ren Y., et al., Nature 396, 441 (1998). (10.1038/24802) / Nature by Ren Y. (1998)
  55. Korotin M. A., et al., Phys. Rev. B 54, 5309 (1996). (10.1103/PhysRevB.54.5309) / Phys. Rev. B by Korotin M. A. (1996)
  56. Yamaguchi S., Okimoto Y., Tokura Y., Phys. Rev. B 54, R8666 (1997). (10.1103/PhysRevB.55.R8666) / Phys. Rev. B by Yamaguchi S. (1997)
  57. Li Y. Q., Ma M., Shi D. N., Zhang F. C., Phys. Rev. Lett. 81, 3527 (1998). (10.1103/PhysRevLett.81.3527) / Phys. Rev. Lett. by Li Y. Q. (1998)
  58. Nersesyan A. A., Tsvelik A. M., Phys. Rev. Lett. 78, 3939 (1997). (10.1103/PhysRevLett.78.3939) / Phys. Rev. Lett. by Nersesyan A. A. (1997)
  59. Kolezhuk A. K., Mikeska H.-J., Phys. Rev. Lett. 80, 2709 (1998). (10.1103/PhysRevLett.80.2709) / Phys. Rev. Lett. by Kolezhuk A. K. (1998)
  60. Yamashita Y., Shibata N., Ueda K., Phys. Rev. B 58, 9114 (1998). (10.1103/PhysRevB.58.9114) / Phys. Rev. B by Yamashita Y. (1998)
  61. Frischmuth B., Mila F., Troyer M., Phys. Rev. Lett. 82, 835 (1999). (10.1103/PhysRevLett.82.835) / Phys. Rev. Lett. by Frischmuth B. (1999)
  62. Azaria P., Gogolin A. O., Lecheminant P., Nersesyan A. A., Phys. Rev. Lett. 83, 624 (1999). (10.1103/PhysRevLett.83.624) / Phys. Rev. Lett. by Azaria P. (1999)
  63. C. Itoi S. Qin I. Affleck E-print available at xxx.lanl.gov/abs/cond-mat/9910109.
  64. 10.1103/PhysRevLett.78.2799
  65. Pen H. F., van den Brink J., Khomskii D. I., Sawatzky G. A., Phys. Rev. Lett. 78, 1323 (1997). (10.1103/PhysRevLett.78.1323) / Phys. Rev. Lett. by Pen H. F. (1997)
  66. 10.1126/science.280.5371.1925
  67. 10.1038/386813a0
  68. The authors thank T. Fujiwara M. Izumi S. Ishihara M. Kawasaki G. Khaliullin D. Khomskii S. Maekawa R. Maezono Y. Murakami Y. Okimoto T. Okuda E. Saitoh K. Terakura H. Yoshizawa J. Zaanen and F. C. Zhang for valuable discussions and collaborations. This work was supported by the Center of Excellence and Priority Areas Grants from the Ministry of Education Science and Culture of Japan and by the New Energy and Industrial Technology Development Organization.
Dates
Type When
Created 23 years, 1 month ago (July 27, 2002, 5:40 a.m.)
Deposited 1 year, 7 months ago (Jan. 13, 2024, 5:03 a.m.)
Indexed 13 hours, 51 minutes ago (Aug. 28, 2025, 8:46 a.m.)
Issued 25 years, 4 months ago (April 21, 2000)
Published 25 years, 4 months ago (April 21, 2000)
Published Print 25 years, 4 months ago (April 21, 2000)
Funders 0

None

@article{Tokura_2000, title={Orbital Physics in Transition-Metal Oxides}, volume={288}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.288.5465.462}, DOI={10.1126/science.288.5465.462}, number={5465}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Tokura, Y. and Nagaosa, N.}, year={2000}, month=apr, pages={462–468} }