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.
引用
收藏
页数:3
相关论文
共 10 条
[1]   THERMODYNAMICS AND CORRELATION-FUNCTIONS OF THE FALICOV-KIMBALL MODEL IN LARGE DIMENSIONS [J].
BRANDT, U ;
MIELSCH, C .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1989, 75 (03) :365-370
[2]   THERMODYNAMICS OF THE FALICOV-KIMBALL MODEL IN LARGE DIMENSIONS .2. CRITICAL-TEMPERATURE AND ORDER PARAMETER [J].
BRANDT, U ;
MIELSCH, C .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1990, 79 (02) :295-299
[3]   FREE-ENERGY OF THE FALICOV-KIMBALL MODEL IN LARGE DIMENSIONS [J].
BRANDT, U ;
MIELSCH, C .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 82 (01) :37-41
[4]   Charge-transfer metal-insulator transitions in the spin-1/2 Falicov-Kimball model [J].
Chung, W ;
Freericks, JK .
PHYSICAL REVIEW B, 1998, 57 (19) :11955-11961
[5]   Competition between phase separation and "classical" intermediate valence in an exactly solved model [J].
Chung, WK ;
Freericks, JK .
PHYSICAL REVIEW LETTERS, 2000, 84 (11) :2461-2464
[6]   SIMPLE MODEL FOR SEMICONDUCTOR-METAL TRANSITIONS - SMB6 AND TRANSITION-METAL OXIDES [J].
FALICOV, LM ;
KIMBALL, JC .
PHYSICAL REVIEW LETTERS, 1969, 22 (19) :997-&
[7]   CORRELATED LATTICE FERMIONS IN D=INFINITY DIMENSIONS [J].
METZNER, W ;
VOLLHARDT, D .
PHYSICAL REVIEW LETTERS, 1989, 62 (03) :324-327
[8]  
PLISCHKE M, 1972, PHYS REV LETT, V28, P361, DOI 10.1103/PhysRevLett.28.361
[9]   Metal-insulator transitions: A simple theoretical model [J].
Ramirez, Ricardo ;
Falicov, L. M. ;
Kimball, J. C. .
PHYSICAL REVIEW B-SOLID STATE, 1970, 2 (08) :3383-3393
[10]   Dynamical mean-field theory of correlated hopping: A rigorous local approach [J].
Shvaika, AM .
PHYSICAL REVIEW B, 2003, 67 (07)