Models of Holographic superconductivity

TL;DR

This paper develops flexible holographic superconductor models with tunable phase transition properties, revealing how different couplings influence critical behavior and transition order.

Contribution

It introduces a general framework for holographic superconductors with variable couplings, enabling the study of diverse phase transition characteristics.

Findings

Phase transition order can be tuned from second to first by adjusting model parameters.

Critical exponents are controllable through coupling functions.

Universal features coexist with model-dependent quantum critical behavior.

Abstract

We construct general models for holographic superconductivity parametrized by three couplings which are functions of a real scalar field and show that under general assumptions they describe superconducting phase transitions. While some features are universal and model independent, important aspects of the quantum critical behavior strongly depend on the choice of couplings, such as the order of the phase transition and critical exponents of second-order phase transitions. In particular, we study a one-parameter model where the phase transition changes from second to first order above some critical value of the parameter and a model with tunable critical exponents.