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Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities

By B. Zenker, D. Ihle, F. X. Bronold and H. Fehske

Abstract

Based on the SO(2)-invariant slave-boson scheme, the static charge, orbital, and excitonic susceptibilities in the extended Falicov-Kimball model are calculated. Analyzing the phase without long-range order we find instabilities towards charge order, orbital order, and the excitonic insulator (EI) phase. The instability towards the EI is in agreement with the saddle-point phase diagram. We also evaluate the dynamic excitonic susceptibility, which allows the investigation of uncondensed excitons. We find qualitatively different features of the exciton dispersion at the semimetal-EI and at the semiconductor-EI transition supporting a crossover scenario between a BCS-type electron-hole condensation and a Bose-Einstein condensation of preformed bound electron-hole pairs.Comment: 8 pages, 9 figures, final versio

Topics: Condensed Matter - Strongly Correlated Electrons
Year: 2011
DOI identifier: 10.1103/PhysRevB.83.235123
OAI identifier: oai:arXiv.org:1102.4887
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