Spinless Two-Band Model in Infinite Dimensions

TL;DR

This paper presents an exact solution for a spinless two-band model in infinite dimensions, analyzing non-Fermi liquid behavior through density of states and self-energy near the Fermi level.

Contribution

It provides a formal exact solution for the model using perturbation theory, assuming no local spin fluctuations, and explores non-Fermi liquid properties.

Findings

Identification of non-Fermi liquid behavior in the metallic phase

Closed-form solution in high dimensions

Analysis of density of states and self-energy near Fermi level

Abstract

A spinless two-band model is studied in infinite dimension limit. Starting from the atomic limit, the formal exact solution of the model is obtained by means a perturbative treatment of the hopping and hybridisation terms. The model is solved in closed form in high dimensions assuming no local spin fluctuations. The non-Fermi liquid properties appearing in the metallic phase are analysed through the behaviour of the density of states and the self-energy near the Fermi level.