Normalizable fermion modes in a holographic superconductor

TL;DR

This paper investigates fermion behavior in a zero-temperature holographic superconductor, revealing continuous normal mode bands that can be filled, empty, or gapped, and provides a semi-classical explanation for these spectral features.

Contribution

It introduces a detailed analysis of fermion normal modes in a holographic superconductor, including a semi-classical approximation of the spectrum.

Findings

Identification of continuous fermion mode bands

Bands can be partially filled, empty, or gapped

Semi-classical model captures key spectral features

Abstract

We consider fermions in a zero-temperature superconducting anti-de Sitter domain wall solution and find continuous bands of normal modes. These bands can be either partially filled or totally empty and gapped. We present a semi-classical argument which approximately captures the main features of the normal mode spectrum.