The Atomic Limit of the Boson-Fermion Model

TL;DR

This paper investigates the atomic limit of the Boson-Fermion model, revealing how local bonding states lead to spectral features and pseudogap formation near the superconducting transition.

Contribution

It provides a detailed analysis of the spectral properties and pseudogap phenomena in the atomic limit of the Boson-Fermion model, highlighting the origin of three pole structures.

Findings

Identification of local bonding, anti-bonding, and non-bonding states

Explanation of pseudogap formation near Tc

Spectral features arising from atomic limit analysis

Abstract

The Boson-Fermion model, describing a mixture of hybridized localized Bosons and itinerant Fermions on a lattice, is known to exhibit spectral properties for the Fermions which upon lowering the temperature develop into a three pole structure in the vicinity of the Fermi level. These spectral features go hand in hand with the opening of a pseudogap in the density of states upon approaching the critical temperature Tc when superconductivity sets in. In the present work we study this model, in the atomic limit where the three pole structure arises naturally from the local bonding, anti-bonding and non-bonding states between the Bosons and Fermions.