Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model

Abstract

The ground-state density of states of the half-filled Falicov-Kimball model contains a charge-density-wave gap. At finite temperature, this gap is not immediately closed, but is rather filled in by subgap states. For a specific combination of parameters, this leads to a stable phase where the system is in an ordered charge-density-wave phase, but there is high density of states at the Fermi level. We show that this property can be, in finite dimensions, traced to a crossing of sharp states resulting from the single particle excitations of the localized subsystem. The analysis of the inverse participation ratio points to a strong localization in the discussed regime. However, the pronounced subgap density of states can still lead to a notable increase of charge transport through a finite size system. We show this by focusing on the transmission in heterostructures where a Falicov-Kimball system is sandwiched between two metallic leads.

12 pages, 10 figures

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• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model
• Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
• Extended Falicov-Kimball model at weak onsite and intersite Coulomb interactions