From the local Fermi liquid to the heavy Fermi liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 24, 2001, Pages

  Mutou, Tetsuya ^a  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; DENSITY; ELEMENTARY PARTICLE; MAGNET; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; QUANTUM THEORY;

EID: 2342497620     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.245102     Document Type: Article

References (15)

1. For example, see A. Sumiyama, Y. Oda, H. Nagano, Y. Ōnuki, K. Shibutani, and T. Komatsubara, J. Phys. Soc. Jpn.55, 1294 (1986).
2. A. Yoshimori and H. Kasai, Solid State Commun.58, 259 (1986).
3. Z Z. Li and Y. Qiu, Phys. Rev. B43, 12 906 (1991).
4. A. Georges, G. Kotliar, W. Krauth, and M J. Rozenberg, Rev. Mod. Phys.68, 13 (1996).
5. For a review of the infinite-dimensional approach, see D. Vollhardt, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1992), p. 57.
6. P. Schlottmann, Phys. Rev. B46, 998 (1992).
7. R. Shiina, J. Phys. Soc. Jpn.64, 702 (1995).
8. The hybridization gap opens at the Fermi level in the homogeneous PAM with the extremely small value of (formula presented) in the case with the particle-hole symmetry.
9. The half-elliptic form of the density of states is realized on the Bethe lattice with the infinite connectivity.
10. A. Khurana, Phys. Rev. Lett.64, 1990 (1990).
11. T. Mutou, Phys. Rev. B60, 2268 (1999).
12. Strictly speaking, the conductivity disappears in the infinite-dimensional limit. Note that the expression of the reduced conductivity in the text is the leading term of (formula presented).
13. In the local approximation when neglecting the wave-number dependence of the coherent potential, the residual resistivity does not depend on the value of U.
14. K. Yamada and K. Yosida, Prog. Theor. Phys.76, 621 (1986).
15. For example, see A C. Hewson, in The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993), p. 165.