LOCAL APPROXIMATION TO THE SPINLESS FALICOV-KIMBALL MODEL

被引：22

作者：

FREERICKS, JK ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106

来源：

PHYSICAL REVIEW B | 1993年 / 48卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.48.14797

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The local approximation is applied to the spinless Falicov-Kimball model in one and two dimensions. The local approximation may be viewed as a zeroth-order expansion in 1/d that is exact in the weak-coupling limit. The local approximation rapidly becomes inaccurate as a function of interaction strength in one dimension, but is accurate in two dimensions. This result indicates that the 1/d expansion converges rapidly for the Falicov-Kimball model in d greater than or equal to 2 and that exact solutions of many-body problems in infinite dimensions are quantitatively relevant for physical dimensions.

引用

页码：14797 / 14800

页数：4

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