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

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.