Plasmons in Holographic Ersatz Fermi Liquids

TL;DR

This paper presents a holographic model of a non-Fermi liquid that captures plasmon modes and Luttinger's theorem, offering insights into collective excitations in strongly correlated systems.

Contribution

It introduces a Maxwell-Chern-Simons holographic model with LU(1) gauge symmetry that reproduces plasmon behavior consistent with Luttinger's theorem.

Findings

Identifies a damped plasmon mode with plasma frequency scaling as predicted by Luttinger's theorem.

Analyzes density-density correlator revealing a Lindhard-like continuum.

Demonstrates the model's consistency with long-range Coulomb interactions and Fermi surface properties.

Abstract

We solve an infrared effective holographic model of a non-Fermi liquid at finite temperature that satisfies Luttinger's theorem and incorporates long-range Coulomb interactions. Motivated by the absence of a Luttinger-counting Fermi surface in standard Reissner-Nordstrom holographic metals, we consider a Maxwell-Chern-Simons theory in a static anti-de Sitter-Schwarzschild background, coupled to an LU(1) gauge field rather than a conventional U(1) gauge field. By an appropriate choice of boundary conditions, we obtain a damped collective plasmon mode whose plasma frequency scales as predicted by Luttinger's theorem. We further analyze the density-density correlator in the absence of long-range Coulomb interactions and identify a contribution consistent with a Lindhard-like continuum.