SYSTEMATIC 1/D CORRECTIONS TO THE INFINITE-DIMENSIONAL LIMIT OF CORRELATED LATTICE ELECTRON MODELS

被引:68
作者
SCHILLER, A [1 ]
INGERSENT, K [1 ]
机构
[1] NATL HIGH MAGNET FIELD LAB,TALLAHASSEE,FL 32306
关键词
D O I
10.1103/PhysRevLett.75.113
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a self-consistent treatment of Hubbard-like lattice models at large, but finite, spatial dimensions d. This involves a systematic expansion in powers of 1/d about the limit d=. The first-order corrections can be obtained by self-consistent solution of coupled one- and two-impurity models. We calculate the leading corrections to properties of the Falicov-Kimball model. The infinite-dimensional limit seems to describe this particular model remarkably well even for d=2. © 1995 The American Physical Society.
引用
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页码:113 / 116
页数:4
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