Exact ground state in an orbitally degenerate Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 11, 1998, Pages 6474-6478

  Shen, Shun Qing ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

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Indexed keywords

EID: 0000555175     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.6474     Document Type: Article

References (37)

1. L. M. Roth, Phys. Rev. 149, 306 (1966).
2. L. M. RothJ. Appl. Phys. 38, 1065 (1967).
3. K. I. Kugel and D. I. Khomskii, Sov. Phys. JETP 37, 725 (1973).
4. K. I. KugelD. I. KhomskiiSov. Phys. Usp. 25, 231 (1982).
5. B. Sutherland, Phys. Rev. B 12, 3795 (1975).
6. B. H. Brandow, Adv. Phys. 26, 651 (1977).
7. P. Schlottmann, Phys. Rev. B 43, 3101 (1991).
8. J. P. Lu, Phys. Rev. B 49, 5687 (1994).
9. G. Kotliar and H. Kajueter, Phys. Rev. B 54, 14 221 (1996).
10. H. Shiba, R. Shiina, and A. Takahashi, J. Phys. Soc. Jpn. 66, 941 (1997).
11. Y. Motome and M. Imada, J. Phys. Soc. Jpn. (to be published).
12. R. Fresard and G. Kotliar, Phys. Rev. B 56, 12 909 (1997).
13. D. G. Shelton and A. M. Tsvelik, Phys. Rev. B 53, 14 036 (1996).
14. E. H. Lieb, Phys. Rev. Lett. 62, 1201 (1989).
15. Phys. Rev. Lett.E. H. Lieb62, 1927(E) (1989).The antiferromagnetic long-range correlation in Lieb’s ferrimagnet was proved by Shen et al. (Ref. 13).
16. S. Q. Shen, Z. M. Qiu, and G. S. Tian, Phys. Rev. Lett. 72, 1280 (1994).
17. A. Mielke, J. Phys. A 24, L73 (1991).
18. J. Phys. AA. Mielke24, 3311 (1991).
19. H. Tasaki, Phys. Rev. Lett. 69, 1608 (1992).
20. Phys. Rev. Lett.H. Tasaki75, 4678 (1995).
21. R. Strack and D. Vollhardt, Phys. Rev. Lett. 72, 3425 (1994).
22. E. Müller-Hartmann, J. Low Temp. Phys. 99, 349 (1995).
23. P. W. Anderson and B. T. Matthias, Science 144, 373 (1964).
24. M. Ogata and H. Shiba, Phys. Rev. B 41, 2326 (1990).
25. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
26. Kubo first used the theorem to prove ferromagnetism in a one-dimensional double exchange mode, see, K. Kubo, J. Phys. Soc. Jpn. 51, 782 (1982).
27. S. Q. Shen, Phys. Rev. B 53, 14 252 (1996).
28. N. M. Bogoliubov and V. E. Korepin, Int. J. Mod. Phys. B 3, 427 (1989).
29. K. B. Efetov and A. L. Larkin, Sov. Phys. JETP 41, 76 (1975).
30. A. A. Abrikosov, J. Low Temp. Phys. 53, 359 (1983).
31. A. G. Lebed, JETP Lett. 44, 114 (1986).
32. N. Dupuis, G. Montambaux, and C. A. R. Sa de Melo, Phys. Rev. Lett. 70, 2613 (1993).
33. M. Rasolt and Z. Tesanovic, Rev. Mod. Phys. 64, 709 (1992), and references therein.
34. D. F. Agterberg, T. M. Rice, and M. Sigrist, Phys. Rev. Lett. 78, 3374 (1997).
35. Phys. Rev. Lett.I. I. Mazin and D. J. Singh, 79, 733 (1997).
36. I. J. Lee et. al Phys. Rev. Lett. 78, 3555 (1997).
37. Y. Hasegawa and H. Fukuyama, J. Phys. Soc. Jpn. 56, 877 (1987).