Fermionic spectral functions in backreacting p-wave superconductors at finite temperature

TL;DR

This paper studies fermionic spectral functions in finite-temperature p-wave superconductors using holography, revealing how spectral features evolve with coupling strength and phase transition order.

Contribution

It extends previous holographic models by analyzing finite temperature effects and the impact of gravitational coupling on spectral functions in p-wave superconductors.

Findings

Spectral functions behave as zero-temperature limit below a critical coupling.

Increasing coupling suppresses the 'peak-dip-hump' structure.

Non-zero order parameter breaks rotational symmetry at the phase transition.

Abstract

We investigate the spectral function of fermions in a $p$-wave superconducting state, at finite both temperature and gravitational coupling, using the $AdS/CFT$ correspondence and extending previous research. We found that, for any coupling below a critical value, the system behaves as its zero temperature limit. By increasing the coupling, the "peak-dip-hump" structure that characterizes the spectral function at fixed momenta disappears. In the region where the normal/superconductor phase transition is first order, the presence of a non-zero order parameter is reflected in the absence of rotational symmetry in the fermionic spectral function at the critical temperature.