Spectral weight in holography with momentum relaxation

TL;DR

This paper investigates how spontaneous translational symmetry breaking in a holographic superfluid model affects low-energy spectral weight, revealing it enhances finite-momentum instability while suppressing nested Fermi surfaces.

Contribution

It extends previous holographic superconductor models by analyzing the impact of symmetry breaking on spectral weight features, providing new insights into strongly coupled systems.

Findings

Symmetry breaking strengthens finite-momentum instability.

Symmetry breaking suppresses nested Fermi surfaces.

Spectral weight attributes are significantly altered by symmetry breaking.

Abstract

Holographic low-energy spectral weight at zero temperature and finite momenta indicates the presence of a strongly coupled remnant of Pauli exclusion. Building upon previous work, we study the spectral weight of a bottom-up holographic superfluid model with spontaneously broken translational symmetry. We determine the effect of this symmetry breaking on the previously known attributes of the holographic superconductor spectral weight: 1) an instability at finite momenta and 2) the presence of nested Fermi surfaces (sometimes called Fermi shells). We find that the symmetry breaking seems to strengthen the former and suppress the latter, in a way that we describe.