Bosonization solution of the Falicov-Kimball model

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

References in corpus (5)

• Linear and nonlinear optical characteristics of the Falicov-Kimball model
• The one dimensional Kondo lattice model at partial band filling
• Canonical Phase Diagrams of the 1-D Falicov-Kimball Model at T=0
• Proof of phase separation in the binary-alloy problem: the one-dimensional spinless Falicov-Kimball model
• Momentum distribution of itinerant electrons in the one-dimensional Falicov-Kimball model

Cited by in corpus (3)

• Charge Order in the Falicov-Kimball Model
• Phase Separation and Charge-Ordered Phases of the d = 3 Falicov-Kimball Model at T>0: Temperature-Density-Chemical Potential Global Phase Diagram from Renormalization-Group Theory
• Electronic polarons in an extended Falicov-Kimball model