Holographic Superconductors with Various Condensates

TL;DR

This paper explores holographic superconductors with various condensates, revealing regularities in conductivity gaps and discovering new bound states linked to vector normal modes in different spacetime dimensions.

Contribution

It extends previous models by analyzing operators of different dimensions and computes correlation lengths, uncovering novel phenomena in holographic superconductor behavior.

Findings

Regularities in the ratio of gap frequency to critical temperature

Emergence of new bound states as vector normal modes

Correlation length calculations for different condensates

Abstract

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors. We also compute a correlation length. We find surprising regularities in quantities such as $\omega_g/T_c$ where $\omega_g$ is the gap in the frequency dependent conductivity. In special cases, new bound states arise corresponding to vector normal modes of the dual near-extremal black holes.