Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice

TL;DR

This paper investigates how Fermi surface fluctuations near a quantum critical point in a two-dimensional square lattice lead to non-Fermi liquid behavior, especially affecting the single-particle lifetime across most of the Fermi surface.

Contribution

It provides a theoretical analysis of the non-Fermi liquid behavior induced by longitudinal fluctuations near a diagonal electronic nematic quantum critical point on a square lattice.

Findings

Non-Fermi liquid behavior occurs over the entire Fermi surface except along specific directions.

Singular forward scattering dominates near the critical point.

Temperature and chemical potential influence the single-particle decay rate.

Abstract

We study effects of Fermi surface fluctuations on a single-particle life time near the diagonal electronic nematic phase on a two-dimensional square lattice. It has been shown that there exists a quantum critical point (QCP) between the diagonal nematic and isotropic phases. We study the longitudinal fluctuations of the order parameter near the critical point, where the singular forward scattering leads to a non-Fermi liquid behavior over the whole Fermi surface except along the k_x- and k_y-directions. We will also discuss the temperature and chemical potential dependence of the single-particle decay rate.