Theory of the Marginal Fermi Liquid Spectrum in the Local Treatment of the Large-U Falicov-Kimball Model

TL;DR

This paper derives the Marginal Fermi Liquid spectrum from a local treatment of the large-U Falicov-Kimball model, explaining experimental observations in cuprates' normal state.

Contribution

It provides a theoretical derivation of the MFL spectrum using an infinite-dimensional mean-field approach to the Falicov-Kimball model.

Findings

Derivation of MFL susceptibility and self-energy near half-filling

Recovery of Fermi liquid phase away from half-filling

Agreement with experimental data on cuprates

Abstract

The Marginal Fermi Liquid (MFL) hypothesis proposed by Varma et al is derived from a consistent treatment of local spinfluctuations in the Falicov-Kimball model (FKM). Within an infinite-dimensional mean-field approach, a marginal Fermi liquid susceptibility and single-particle self-energy are obtained near half-filling, and a Fermi liquid phase is recovered sufficiently away from half-filling, in agreement with indications from experiments which probe the normal state of the cuprates as a function of doping