Tight-binding treatment of the Hubbard model in infinite dimensions

被引：26

作者：

Craco, L ^{[1
]}

Gusmao, MA ^{[1
]}

机构：

[1] UNIV TOULOUSE 3,PHYS QUANT LAB,CNRS URA 505,F-31062 TOULOUSE,FRANCE

来源：

PHYSICAL REVIEW B | 1996年 / 54卷 / 03期

关键词：

D O I：

10.1103/PhysRevB.54.1629

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We discuss the infinite dimension limit of the Hubbard model by means of a perturbative expansion of the one-particle Green's function around the atomic limit. The diagrammatic structure is simplified in this limit, allowing a formal resummation that reproduces a previously proposed mapping to a single-site mean-field problem. The method provides a natural way of addressing this effective problem by means of a perturbative expansion in the local mean field. This gives the correct exact result for the Falicov-Kimball model, which is used as a starting point to study the Hubbard case.

引用

页码：1629 / 1636

页数：8

共 25 条

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Abrikosov AA., 1975, Methods of Quantum Field Theory in Statistical Physics

[2]

ANDA EV, 1981, J PHYS C SOLID STATE, V14, P1037

[3]

ANDERSON PW, 1963, SOLID STATE PHYS, V14, P99

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