Pseudogap and time reversal breaking in a holographic superconductor

TL;DR

This paper investigates a holographic superconductor model showing a pseudogap and spontaneous time reversal symmetry breaking, with notable Hall conductivity, revealing new insights into strongly coupled superconducting systems.

Contribution

It demonstrates the emergence of a pseudogap and nonzero Hall conductivity due to spontaneous time reversal symmetry breaking in a holographic superconductor model.

Findings

Presence of a pseudogap at low temperatures.

Nonzero Hall conductivity due to symmetry breaking.

Spectral density consistent with superconducting behavior.

Abstract

Classical SU(2) Yang-Mills theory in 3+1 dimensional anti-de Sitter space is known to provide a holographic dual to a 2+1 system that undergoes a superconducting phase transition. We study the electrical conductivity and spectral density of an isotropic superconducting phase. We show that the theory exhibits a pseudogap at low temperatures and a nonzero Hall conductivity. The Hall conductivity is possible because of spontaneous breaking of time reversal symmetry.