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Bosonization solution of the Falicov-Kimball model

arXiv:cond-mat/0506218 · doi:10.1103/PhysRevLett.96.036407

Abstract

We use a novel approach to analyze the one dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is extended to a quantum model with hybridization between the localized and itinerant states; we find a crossover between the well-known weak- and strong-coupling behaviour. The existence of electronic polarons at intermediate coupling is confirmed. A phase diagram is presented and discussed in detail.

RevTex, 10 pages, 1 figure