Electrical Conductivity of Fermi Liquids. I. Many-Body Effect on the Drude Weight

Journal of the Physical Society of Japan

Volumn 67, Issue 8, 1998, Pages 2792-2801

  Okabe, Takuya ^a,b  

^a KYOTO UNIVERSITY   (Japan)

^b GUNMA UNIVERSITY   (Japan)

Author keywords

Drude weight; Fermi liquid theory; Many body effect; Metal insulator transition; Umklapp process

Indexed keywords

EID: 0032338694     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.2792     Document Type: Article

References (23)

1. W. Kohn: Phys. Rev. 133 (1964) A171.
2. B. S. Shastry and B. Sutherland: Phys. Rev. Lett. 65 (1990) 243.
3. V. J. Emery, A. Luther and I. Peschel: Phys. Rev. 13 (1976) 1272.
4. T. Usuki, N. Kawakami and A. Okiji: Phys. Lett. 135A (1989) 476.
5. H. J. Shullz: Correlated Electron Systems, ed. V. J. Emery (World Scientific, Singapore, 1992).
6. K. Kanki and K. Yamada: J. Phys. Soc. Jpn. 66 (1997) 1103.
7. T. Okabe: J. Phys. Soc. Jpn. (submitted).
8. D. Pines and P. Nozières: The Theory of Quantum Liquids I (W. A. Benjamin, Inc., New York, 1966).
9. The state |p〉 will be stable because a finite lifetime of the state |p〉 implies a finite dc conductivity at T = 0.
10. 1/3)m to be positive definite.
11. It is noted that the distribution function of noninteracting particles coincides with the distribution function of quasiparticles in an interacting system.
12. P. Nozières: Theory of Interacting Fermi Systems (Benjamin, New York, 1964).
13. A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinskii: Methods of Quantum Field Theory in Statistical Physics (Pergamon, Oxford, 1965).
14. 7)
15. L. D. Landau and E. M. Lifshitz: Quantum Mechanics (Pergamon, Oxford, 1977).
16. H. Maebashi and H. Fukuyama: J. Phys. Soc. Jpn. 66 (1997) 3577.
17. See, E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc and J. Riera: Phys. Rev. 45 (1992) 10741, and references therein.
18. See, for example, A. J. Millis and S. N. Coppersmith: Phys. Rev. 42 (1990) 10807; J. Igarashi and P. Fulde: Phys. Rev. 48 (1993) 12713.
19. See, for example, A. J. Millis and S. N. Coppersmith: Phys. Rev. 42 (1990) 10807; J. Igarashi and P. Fulde: Phys. Rev. 48 (1993) 12713.
20. A negative D was observed and discussed in the numerical studies of finite systems; J. Wagner, W. Hanke and D. J. Scalapino: Phys. Rev. 43 (1991) 10517; C. A. Stafford, A. J. Millis and B. S. Shastry: Phys. Rev. 43 (1991) 13660.
21. A negative D was observed and discussed in the numerical studies of finite systems; J. Wagner, W. Hanke and D. J. Scalapino: Phys. Rev. 43 (1991) 10517; C. A. Stafford, A. J. Millis and B. S. Shastry: Phys. Rev. 43 (1991) 13660.
22. G. M. Éliashberg: Sov. Phys. JETP 14 (1962) 886.
23. K. Yamada and K. Yosida: Prog. Theor. Phys. 76 (1986) 621.