Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice

Journal of the Physical Society of Japan

Volumn 76, Issue 7, 2007, Pages

  Koretsune, Takashi ^a,b   Motome, Yukitoshi ^c   Furusaki, Akira ^a  

^a RIKEN   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Averaging over twisted boundary conditions; Drude weight; Geometrical frustration; Hubbard model; Lanczos exact diagonalization; Mott transition

Indexed keywords

EID: 34547493610     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.074719     Document Type: Article

References (44)

1. N. F. Mott: Proc. Phys. Soc., Sect. A 62 (1949) 416.
2. M. Imada, A. Fujimori, and Y. Tokura: Rev. Mod. Phys. 70 (1998) 1039.
3. K. Kanoda: J. Phys. Soc. Jpn. 75 (2006) 051007, and references therein.
4. H. Seo, J. Merino, H. Yoshioka, and M. Ogata: J. Phys. Soc. Jpn. 75 (2006) 051009, and references therein.
5. F. Kagawa, K. Miyagawa, and K. Kanoda: Nature 436 (2005) 534.
6. G. Kotliar, E. Lange, and M. J. Rozenberg: Phys. Rev. Lett. 84 (2000) 5180.
7. P. Limelette, A. Georges, D. Jérome, P. Wzietek, P. Metcalf, and J. M. Honig: Science 302 (2003) 89.
8. See also C. Castellani, C. Di Castro, D. Feinberg, and J. Ranninger: Phys. Rev. Lett. 43 (1979) 1957.
9. Y. Shimizu, K. Miyagawa, K. Kanoda, M. Maesato, and G. Saito: Phys. Rev. Lett. 91 (2003) 107001.
10. Y. Kurosaki, Y. Shimizu, K. Miyagawa, K. Kanoda, and G. Saito: Phys. Rev. Lett. 95 (2005) 177001.
11. 2] salts; see, e.g., M. Tamura and R. Kato: J. Phys.: Condens. Matter 14 (2002) L729.
12. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 65 (1996) 2158.
13. S. Onoda and M. Imada: Phys. Rev. B 67 (2003) 161102.
14. O. Parcollet, G. Biroli, and G. Kotliar: Phys. Rev. Lett. 92 (2004) 226402.
15. An application of the cellular DMFT to the Hubbard model on the Kagomé lattice can be found in T. Ohashi, N. Kawakami, and H. Tsunetsugu: Phys. Rev. Lett. 97 (2006) 066401.
16. M. Imada: Phys. Rev. B 72 (2005) 075113.
17. T. Misawa, Y. Yamaji, and M. Imada: J. Phys. Soc. Jpn. 75 (2006) 083705.
18. H. Kino and H. Kontani: J. Phys. Soc. Jpn. 67 (1998) 3691.
19. H. Kondo and T. Moriya: J. Phys. Soc. Jpn. 68 (1999) 3170.
20. S.-S. Lee and P. A. Lee: Phys. Rev. Lett. 95 (2005) 036403.
21. J. Liu, J. Schmalian, and N. Trivedi: Phys. Rev. Lett. 94 (2005) 127003.
22. T. Watanabe, H. Yokoyama, Y. Tanaka, and J. Inoue: J. Phys. Soc. Jpn. 75 (2006) 074707.
23. B. Kyung and A.-M. S. Tremblay: Phys. Rev. Lett. 97 (2006) 046402.
24. O. I. Motrunich: Phys. Rev. B 72 (2005) 045105.
25. J. Y. Gan, Y. Chen, Z. B. Su, and F. C. Zhang: Phys. Rev. Lett. 94 (2005) 067005.
26. B. J. Powell and R. H. McKenzie: Phys. Rev. Lett. 94 (2005) 047004.
27. M. Imada and T. Kashima: J. Phys. Soc. Jpn. 69 (2000) 2723.
28. T. Kashima and M. Imada: J. Phys. Soc. Jpn. 70 (2001) 2287.
29. H. Morita, S. Watanabe, and M. Imada: J. Phys. Soc. Jpn. 71 (2002) 2109.
30. W. Kohn: Phys. Rev. 133 (1964) A171.
31. D. J. Scalapino, S. R. White, and S. C. Zhang: Phys. Rev. Lett. 68 (1992) 2830.
32. D. J. Scalapino, S. R. White, and S. C. Zhang: Phys. Rev. B 47 (1993) 7995.
33. We note that our definition of the Drude weight does not recover the triangular lattice symmetry at t′ = t. The definition covers the square lattice symmetry and is suitable for our study, since we here focus on the anisotropic cases with t′ < t including the square lattice at t′ = 0.
34. R. M. Fye, M. J. Martins, D. J. Scalapino, J. Wagner, and W. Hanke: Phys. Rev. B 44 (1991) 6909.
35. The insulating BC dependence does not necessarily mean that the ground state is unique in the thermodynamic limit since we only consider the same BC for up and down spins, which cannot detect the degeneracy of states with different total spin. In order to study the degeneracy in total spin, which is expected, for example, in the antiferromagnetic state, we have to change BC of up and down spins separately, which is beyond the scope of this paper.
36. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc, and J. Riera: Phys. Rev. B 45 (1992) 10741.
37. H. Nakano and M. Imada: J. Phys. Soc. Jpn. 68 (1999) 1458.
38. A variant of this method was recently used in H. Nakano, Y. Takahashi, and M. Imada: J. Phys. Soc. Jpn. 76 (2007) 034705.
39. D. Poilblanc: Phys. Rev. B 44 (1991) 9562.
40. C. Gros: Z. Phys. B 86 (1992) 359.
41. J. Bonča and P. Prelovšek: Phys. Rev. B 67 (2003) 085103.
42. S. Watanabe and M. Imada: J. Phys. Soc. Jpn. 73 (2004) 1251.
43. Z. Weihong, R. H. McKenzie, and R. R. P. Singh: Phys. Rev. B 59 (1999) 14367.
44. T. Mizusaki and M. Imada: Phys. Rev. B 74 (2006) 014421.