Generalized Falicov-Kimball Models
Strongly Correlated Electrons
2019-09-18 v2
Abstract
In this paper we extend the Falicov-Kimball model (FKM) to the case where the "quasi-particles" entering the FKM are not "ordinary" fermions. As an example we first discuss how the FKM can be generalized to the case with spin-dependent hopping. Afterwards we discuss several cases where the "quasi-particles" entering the FKM are Majorana fermions (extended Majorana-Falicov-Kimball Model (MFKM). Two examples of extended MFKM are discussed in detail: (i) a -wave BCS superconductor on a bipartite lattice and (ii) a BCS-Anderson model. We also discuss the most general forms of extended MFKM, including a brief discussion on the case where the Majorana fermions represent spins, but not real fermion particles.
Cite
@article{arxiv.1903.05013,
title = {Generalized Falicov-Kimball Models},
author = {Xiao-Hui Li and Zewei Chen and Tai-Kai Ng},
journal= {arXiv preprint arXiv:1903.05013},
year = {2019}
}
Comments
9 pages, 6 figures