Drude weight of the two-dimensional Hubbard model - Reexamination of finite-size effect in exact diagonalization study

Journal of the Physical Society of Japan

Volumn 76, Issue 3, 2007, Pages

  Nakano, Hiroki ^a   Takahashi, Yoshinori ^a   Imada, Masatoshi ^b  

^a UNIVERSITY OF HYOGO   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Drude weight; Hubbard model; Lanczos method; Metal insulator transition; Optical conductivity

Indexed keywords

EID: 33947260522     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.034705     Document Type: Article

References (23)

1. M. Imada, A. Fujimori, and Y. Tokura: Rev. Mod. Phys. 70 (1998) 1039, and references therein.
2. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc, and J. Riera: Phys. Rev. B 45 (1992) 10741.
3. H. Nakano and M. Imada: J. Phys. Soc. Jpn. 68 (1999) 1458.
4. T. Tohyama, Y. Inoue, K. Tsutsui, and S. Maekawa: Phys. Rev. B 72 (2005) 045113.
5. s = 20. It is possible to reduce these dimensions by using the symmetries of the Hamiltonian; however, the program for the reduced case is not necessarily applicable to any Hamiltonians having arbitrary shapes of clusters in contrast to our program. The versatile feature of our code makes it possible to examine the various cases very easily. Although the dimension is very huge, our code costs 29.7 h for the 260-time iterations to obtain the ground-state energy of the 20-site half-filling Hamiltonian for U = 35, when we use 16 nodes in the supercomputer SR11000 in Hokkaido University.
6. E. Gagliano and C. Balseiro: Phys. Rev. Lett. 59 (1987) 2999.
7. N. Furukawa and M. Imada: J. Phys. Soc. Jpn. 60 (1991) 3604;
8. N. Furukawa and M. Imada: J. Phys. Soc. Jpn. 61 (1992) 3331.
9. H. Nakano and Y. Takahashi: J. Phys. Soc. Jpn. 72 (2003) 1191.
10. H. Nakano and Y. Takahashi: J. Magn. Magn. Mater 272-276 (2004) 487.
11. H. Nakano and Y. Takahashi: J. Phys. Soc. Jpn. 73 (2004) 983.
12. s = 18. These works use only the periodic boundary condition. Note that such behavior occurs only at the hole concentration when the electronic shell structure is open.
13. H. Tsunetsugu and M. Imada: J. Phys. Soc. Jpn. 67 (1998) 1864.
14. M. Imada: J. Phys. Soc. Jpn. 64 (1995) 2954.
15. N. Furukawa and M. Imada: J. Phys. Soc. Jpn. 62 (1993) 2557.
16. F. Assaad and M. Imada: Phys. Rev. Lett. 76 (1996) 3176.
17. M. Imada: J. Phys. Soc. Jpn. 74 (2005) 859.
18. M. Imada: Phys. Rev. B 72 (2005) 075113.
19. T. Misawa, Y. Yamaji, and M. Imada: J. Phys. Soc. Jpn. 75 (2006) 083705.
20. H. Nakano, Y. Takahashi, and M. Imada: Physica B 359-361 (2005) 657.
21. S. Uchida, T. Ido, H. Takagi, T. Arima, Y. Tokura, and S. Tajima: Phys. Rev. B 43 (1991) 7942.
22. D. Poilblanc: Phys. Rev. B 44 (1991) 9562.
23. T. Tohyama: J. Phys. Chem. Solids 67 (2006) 2210.