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Jahn-Teller Effect and Berry's Phase

얀-텔러 효과와 베리 위상

  • 방길현 (포항공과대학교 물리학과) ;
  • 민병일 (포항공과대학교 물리학과)
  • Published : 2006.10.31

Abstract

The Jahn-Teller effect caused by the electron-phonon interaction is explained with an example of an octahedral molecule. The physical meaning ot the Berry's phase is discussed. The Berry's phase which appears due to the dynamical Jahn-Teller effect is also discussed.

전자-포논 상호작용 때문에 생기는 얀-텔러 효과를 팔면체 구조를 가진 분자의 예를 들어 설명하였다. 그리고 베리 위상의 물리적 의미를 살펴본 후, 동적 얀-텔러 효과에서 나타나는 베리 위상에 대해 알아보았다.

Keywords

References

  1. H. A. Jahn and E. Teller, Proc. Roy. Soc. (London) A, 161, 220 (1937)
  2. M. V. Berry, Proc. R. Soc. London Ser. A, 392, 45 (1984)
  3. J. Ye, Y. B. Kim, A. J. Millis, B. I. Shraiman, P. Majumdar, and Z. Tesanovic , Phys. Rev. Lett., 83, 3737 (1999) https://doi.org/10.1103/PhysRevLett.83.3737
  4. Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa, and Y. Tokura, Science, 291, 2573 (2001) https://doi.org/10.1126/science.1058161
  5. D. K. De, R. S. Rubins, and T. D. Black, Phys. Rev. B, 29, 71 (1984) https://doi.org/10.1103/PhysRevB.29.71
  6. J. M. Longe and P. M. Raccah, J. Solid State Chem., 6, 526 (1973) https://doi.org/10.1016/S0022-4596(73)80010-6
  7. M. Arai, K. Tamada, Y. Hidaka, S. Ith, Z. A. Bowden, A. D. Taylor, and Y. Endoh, Phys. Rev. Lett., 69, 359 (1992) https://doi.org/10.1103/PhysRevLett.69.359
  8. A. Lanzara, P. V. Bogdanov, X. J. Zhou, S. A. Kellar, D. L. Feng, E. D. Lu, T. Yoshida, H. Eisaki, A. Fujimori, K. Kishio, J.-I. Shimoyama, T. Noda, S. Uchida, Z. Hussain, and Z.-X. Shen, Nature, 412, 510 (2001)
  9. J. Lee, K. Fujita, K. McElroy, J. A. Slezak, M. Wang, Y. Aiura, H. Bando, M. Ishikado, T. Masui, J.-X. Zhu, A. V. Balatsky, H. Eisaki, S. Uchida, and J. C. Davis, Nature, 442, 546 (2006) https://doi.org/10.1038/nature04973
  10. R. Englman, B. Halperin, and M. Weger, Physica C, 169, 314 (1990) https://doi.org/10.1016/0921-4534(90)90193-I
  11. W. Weber, A. L. Shelankov, and X. Zotos, Physica C, 162/164, 1475 (1989) https://doi.org/10.1016/0921-4534(89)90779-X
  12. S. Jin, T. H. Tiefel, M. McCormack, R. A. Fastnacht, R. Ramesh, and L. H. Chen, Science, 264, 413 (1994) https://doi.org/10.1126/science.264.5157.413
  13. P. Schiffer, A. P. Ramirez, W. Bao, and S-W. Cheong, Phys. Rev. Lett., 75, 3336 (1995) https://doi.org/10.1103/PhysRevLett.75.3336
  14. A. J. Millis, Boris I. Shraiman, and R. Mueller, Phys. Rev. Lett., 77, 175 (1996) https://doi.org/10.1103/PhysRevLett.77.175
  15. J. D. Lee and B. I. Min, Phys. Rev., B55, 12454 (1997)
  16. T. Bitter and D. Dubbers, Phys. Rev. Lett., 59, 251 (1987) https://doi.org/10.1103/PhysRevLett.59.251
  17. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley, Massachusetts, 1994), pp. 464-480
  18. R. L. Whetten and E. R. Grant, J. Chem. Phys., 81, 691 (1984) https://doi.org/10.1063/1.447751
  19. F. S. Ham, Phys. Rev. Lett., 58, 725 (1987) https://doi.org/10.1103/PhysRevLett.58.725
  20. A. J. Millis, Nature, 392, 147 (1998) https://doi.org/10.1038/32348
  21. B. Beagley, A. Eriksson, J. Lindgren, I. Persson, L. G. M. Pettersson, M. Sandstrom, U. Wahlgren, and EW White, J. Phys.: Condens. Matter, 1, 2395 (1989) https://doi.org/10.1088/0953-8984/1/13/012