A general holographic metal/superconductor phase transition model

TL;DR

This paper investigates a comprehensive holographic superconductor model, analyzing how parameters influence phase transition order, discontinuities, and stability of higher energy states in an AdS black hole background.

Contribution

It introduces a general framework for holographic superconductor phase transitions, detailing the effects of model parameters, scalar mass, and backreaction on transition order and discontinuities.

Findings

Model parameters and scalar mass determine phase transition order.

Discontinuities in scalar operator are linked to first order transitions.

Higher energy superconductor solutions are identified and analyzed for stability.

Abstract

We study the scalar condensation of a general holographic superconductor model in AdS black hole background away from the probe limit. We find the model parameters together with the scalar mass and backreaction can determine the order of phase transitions completely. In addition, we observe two types of discontinuities of the scalar operator in the case of first order phase transitions. We analyze in detail the effects of the scalar mass and backreaction on the formation of discontinuities and arrive at an approximate relation between the threshold model parameters. Furthermore, we obtain superconductor solutions corresponding to higher energy states and examine the stability of these superconductor solutions.