Non-Fermi liquid behavior in a simple model of Fermi arcs and pseudogap

TL;DR

This paper introduces a solvable model with Hubbard interactions that exhibits Fermi arcs and pseudogap, revealing non-Fermi liquid behavior and providing insights relevant to high-temperature cuprate superconductors.

Contribution

It presents a simple, exactly solvable model incorporating Hubbard interactions that demonstrates non-Fermi liquid behavior related to Fermi arcs and pseudogap phenomena.

Findings

Hubbard-like interactions induce non-Fermi liquid behavior.

Model reproduces features similar to high-Tc cuprates.

Comparison with experimental cuprate phenomenology is discussed.

Abstract

We consider a perturbed version of a very simple and exactly solvable model that supports Fermi arcs and pseudogap in its ground state and excitation spectrum, which includes Hubbard-like interactions in both momentum and real spaces. We find the combined effects give rise to non-Fermi liquid behavior in the electron self-energy. Comparison will be made with phenomenology of high temperature cuprate superconductors.