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Bosonization solution of the Falicov-Kimball model

P. M. R. Brydon·M. Gulacsi
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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.

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P. M. R. Brydon, M. Gulacsi. 2005-10-27. Bosonization solution of the Falicov-Kimball model. https://doi.org/10.1103/physrevlett.96.036407

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