Extended Falicov-Kimball model: Exact solution for the ground state

Romuald Lemański, Konrad Jerzy Kapcia, and Stanisław Robaszkiewicz
Phys. Rev. B 96, 205102 – Published 1 November 2017

Abstract

The extended Falicov-Kimball model is analyzed exactly in the ground state at half filling in the limit of large dimensions. In the model the on-site and the intersite density-density interactions between all particles are included. We determined the model's phase diagram and found a discontinuous transition between two different charge-ordered phases. Our analytical calculations show that the ground state of the system is insulating for any nonzero values of the interaction couplings. We also show that the dynamical mean-field theory and the static broken-symmetry Hartree-Fock mean-field approximation give the same results for the model at zero temperature. In addition, we prove using analytical expressions that at infinitesimally small, but finite, temperatures the system can be metallic.

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  • Received 26 July 2017
  • Revised 9 October 2017

DOI:https://doi.org/10.1103/PhysRevB.96.205102

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & ThermodynamicsGeneral Physics

Authors & Affiliations

Romuald Lemański1,*, Konrad Jerzy Kapcia2,3,†, and Stanisław Robaszkiewicz4,‡

  • 1Institute of Low Temperature and Structure Research, Polish Academy of Sciences, ulica Okólna 2, PL-50422 Wrocław, Poland
  • 2Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02668 Warsaw, Poland
  • 3Institute of Nuclear Physics, Polish Academy of Sciences, ulica E. Radzikowskiego 152, PL-31-342 Kraków, Poland
  • 4Faculty of Physics, Adam Mickiewicz University in Poznań, ulica Umultowska 85, PL-61614 Poznań, Poland

  • *r.lemanski@int.pan.wroc.pl
  • Corresponding author: konrad.kapcia@ifpan.edu.pl
  • Deceased.

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Issue

Vol. 96, Iss. 20 — 15 November 2017

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