Equivalence of the Falicov-Kimball and Brandt-Mielsch forms for the free energy of the infinite-dimensional Falicov-Kimball model
Abstract
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.
- Publication:
-
Physical Review B
- Pub Date:
- April 2003
- DOI:
- 10.1103/PhysRevB.67.153103
- arXiv:
- arXiv:cond-mat/0211451
- Bibcode:
- 2003PhRvB..67o3103S
- Keywords:
-
- 71.10.Hf;
- 71.27.+a;
- 71.30.+h;
- Non-Fermi-liquid ground states electron phase diagrams and phase transitions in model systems;
- Strongly correlated electron systems;
- heavy fermions;
- Metal-insulator transitions and other electronic transitions;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 4 pages, 1 figure, typeset with ReVTeX