EXACT MEAN-FIELD HAMILTONIAN FOR FERMIONIC LATTICE MODELS IN HIGH DIMENSIONS

被引：103
|
作者：
VANDONGEN, PGJ
VOLLHARDT, D
机构：
[1] Institut F̈r Theoretische Physik C, Technische Hochschule Aachen
来源：
PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 13期
关键词：
D O I：
10.1103/PhysRevLett.65.1663
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that even for fermionic lattice models with on-site interaction a mean-field Hamiltonian can be constructed, whiche in analogy with spin-lattice modelse becomes exact in the limit of high spatial dimensions d. Here the mean fields are fermion operators, rather than numbers. We use this method to obtain the exact solution of a simplified Hubbard model on a Bethe lattice for all temperatures. The order parameter is found to have the conventional mean-field form, but exhibits unusually rich behavior as a function of the interaction. © 1990 The American Physical Society.
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页码：1663 / 1666
页数：4
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