Periodic ground states in the neutral Falicov-Kimball model in two dimensions

被引：19

作者：

Haller, K ^{[1
]}

Kennedy, T ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2001年 / 102卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Falicov-Kimball model; ground state; periodic;

D O I：

10.1023/A:1026504524149

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Falicov-Kimball model in two dimensions in the neutral cast, i.e., the number of mobile electrons is equal to the number of ions, for rational densities between 1/3 and 2/5 we prove that the ground state is periodic if the strength of the attraction between the ions and electrons is large enough. The periodic ground state is given by taking the one dimensional periodic ground state found by Lemberger and then extending it into two dimensions in such a way that the configuration is constant along lines at a 45 degree angle to the lattice directions.

引用

页码：15 / 34

页数：20

共 16 条

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BRANDT U, 1986, Z PHYS B, V67, P43

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