Non-Fermi-liquid behavior due to short range order

TL;DR

This paper presents an exactly solvable 1D electron model showing non-Fermi-liquid behavior, including pseudogaps and shadow bands, due to short-range order fluctuations, similar to phenomena observed in 2D Hubbard models.

Contribution

It introduces an exactly solvable 1D model that captures non-Fermi-liquid features caused by short-range order, providing insights into correlated electron systems.

Findings

Presence of pseudogap and shadow bands in spectral functions

Breakdown of quasiparticle picture near the Fermi surface

Non-Fermi-liquid features increase with correlation length

Abstract

An exactly soluble one-dimensional model of electrons interacting with order parameter fluctations associated with short-range order is considered. The energy and momentum dependence of the electronic self energy and spectral function are calculated and found to exhibit non-Fermi-liquid features similar to that seen for the two-dimensional Hubbard model: a pseudogap, shadow bands, anomalies in the self energy, and breakdown of the quasiparticle picture. Deviations from Fermi liquid behavior are largest close to the Fermi surface and as the correlation length increases.