Analytic Study of First-Order Phase Transition in Holographic Superconductor and Superfluid

TL;DR

This paper analytically investigates the occurrence of first-order phase transitions in holographic superconductors and superfluids using the matching method, providing insights into critical parameters and confirming previous numerical findings.

Contribution

It introduces an analytic approach to identify first-order phase transitions in holographic models, including St"uckelberg superconductors and superfluids, enhancing understanding beyond numerical methods.

Findings

First-order phase transition identified analytically in holographic superconductor models.

Critical parameter values for phase transition determined analytically.

Analytic results agree with previous numerical studies.

Abstract

We use the matching method to investigate the first-order phase transition in holographic superconductor and superfluid. We first use the simple holographic superconductor model to describe the matching method and mention how to see the first-order phase transition. Next, we study the holographic superconductor with St\"uckelberg term and see that the analytic results indicate the existence of first-order phase transition. Finally, we study the holographic superfluid and show that the first-order phase transition can be found for some values of parameters. We determine the critical value analytically and compare it with the previous numerical result.