CONSTRUCTION OF ANALYTICALLY TRACTABLE MEAN-FIELD THEORIES FOR QUANTUM MODELS .1. GENERAL FORMALISM WITH APPLICATION TO THE HUBBARD-MODEL AT STRONG-COUPLING

被引：24

作者：

JANIS, V

VOLLHARDT, D

机构：

[1] Institut für Theoretische Physik C, Technische Hochschule Aachen, Aachen

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1993年 / 91卷 / 03期

关键词：

D O I：

10.1007/BF01344060

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

A general theoretical framework for the construction of maximally complex, yet analytically tractable mean-field theories for quantum-mechanical models is presented. These mean-field theories fulfil several strict conditions which are derived from analogous theories in classical statistical mechanics. In particular, they are thermodynamically consistent, conserving approximations and provide exact bounds on the free energy of the original model. The formalism is used to construct a mean-field theory for the Hubbard model in the strong-coupling limit.

引用

页码：317 / 323

页数：7

共 27 条

[1] THERMODYNAMICS AND CORRELATION-FUNCTIONS OF THE FALICOV-KIMBALL MODEL IN LARGE DIMENSIONS [J].