"$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling

TL;DR

This paper investigates non-analytic features in the charge susceptibility of finite density ABJM theory at strong coupling, revealing Fermi surface-like singularities and complex branch points through holographic dual analysis.

Contribution

It identifies and characterizes Fermi surface-like singularities and branch points in the charge susceptibility of ABJM theory at zero entropy density using holography.

Findings

Susceptibility shows branch points in the complex momentum plane.

Real parts of branch points align with Fermi surface singularities.

Zero entropy density state exhibits Fermi surface-like features.

Abstract

We study non-analytic behavior in the static charge susceptibility in finite density states of the ABJM theory using its holographic dual. Emphasis is placed on a particular state characterized by vanishing entropy density at zero temperature, and Fermi surface-like singularities in various fermionic correlation functions. The susceptibility exhibits branch points in the complex momentum plane, with a real part quantitatively very similar to the location of the Fermi surface singularities.