Equivalence of the Falicov-Kimball and Brandt-Mielsch forms for the free energy of the infinite-dimensional Falicov-Kimball model

被引:9
|
作者
Shvaika, AM
Freericks, JK
机构
[1] Natl Acad Sci Ukraine, Inst Condensed Matter Phys, UA-79011 Lvov, Ukraine
[2] Georgetown Univ, Dept Phys, Washington, DC 20057 USA
来源
PHYSICAL REVIEW B | 2003年 / 67卷 / 15期
关键词
D O I
10.1103/PhysRevB.67.153103
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Falicov and Kimball proposed a real-axis form for the free energy of the Falicov-Kimball model that was modified for the coherent potential approximation by Plischke. Brandt and Mielsch proposed an imaginary-axis form for the free energy of the dynamical mean field theory solution of the Falicov-Kimball model. It has long been known that these two formulas are numerically equal to each other; an explicit derivation showing this equivalence is presented here.
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页数:3
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