Weak-coupling treatment of electronic (anti-)ferroelectricity in the extended Falicov-Kimball model

2008/02/13 by C. Schneider, Claudia Schneider, G. Czycholl +1 · 1 citation
Materials Science · Physics and Astronomy · #Ferroelectric and Piezoelectric Materials #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2008-00273-y

7 pages, 8 figures

arxiv created 2008/02/13 · openalex publication_date 2008/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the (spinless) Falicov-Kimball model extended by a finite band width (hopping t_f) of the localized (f-) electrons in infinite dimensions in the weak-coupling limit of a small local interband Coulomb correlation U for half filling. In the case of overlapping conduction- and f-bands different kinds of ordered solutions are possible, namely charge-density wave (CDW) order, electronic ferroelectricity (EFE) and electronic antiferroelectricity (EAFE). The order parameters are calculated as a function of the model parameters and of the temperature. There is a first-order phase transition from the CDW-phase to the EFE- or EAFE-phase. The total energy is calculated to determine the thermodynamically stable solution. The quantum phase diagrams are calculated.

Citations

• Exact solution of the multicomponent Falicov-Kimball model in infinite dimensions
• Theory of Superconductivity

Cited by

• Bound state formation and the nature of the excitonic insulator phase in the extended Falicov-Kimball model

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