Observing various phase transitions in the holographic model of superfluidity

TL;DR

This paper investigates the holographic duals of superfluid phase transitions, analyzing both first and second order transitions in AdS black hole and soliton backgrounds, and suggests phenomenological indicators to distinguish transition types.

Contribution

It provides a comprehensive study of phase transitions in holographic superfluids, including the effects of different gravitational backgrounds and the role of conductivity and pair susceptibility.

Findings

Both first and second order phase transitions are modeled in AdS black hole backgrounds.

Conductivity and pair susceptibility can indicate the order of phase transitions.

First order transitions are not induced by spatial gauge fields in AdS soliton backgrounds.

Abstract

We study the gravity duals of supercurrent solutions in the AdS black hole background with general phase structure to describe both the first and the second order phase transitions at finite temperature in strongly interacting systems. We argue that the conductivity and the pair susceptibility can be possible phenomenological indications to distinguish the order of phase transitions. We extend our discussion to the AdS soliton configuration. Different from the black hole spacetime, in the probe limit the first order phase transition cannot be brought by introducing the spatial component of the vector potential of the gauge field in the AdS soliton background.