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

A. M. Shvaika and J. K. Freericks
Phys. Rev. B 67, 153103 – Published 2 April 2003
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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.

  • Received 20 November 2002

DOI:https://doi.org/10.1103/PhysRevB.67.153103

©2003 American Physical Society

Authors & Affiliations

A. M. Shvaika*

  • Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Strasse, 79011 Lviv, Ukraine

J. K. Freericks

  • Department of Physics, Georgetown University, Washington, DC 20057

  • *Electronic address: ashv@icmp.lviv.ua; URL: http://ph.icmp.lviv.ua/∼ashv
  • Electronic address: freericks@physics.georgetown.edu; URL: http://www.physics.georgetown.edu/∼jkf

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Vol. 67, Iss. 15 — 15 April 2003

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