Introduction to Holographic Superconductor Models

TL;DR

This paper provides an introductory overview of holographic superconductor models, explaining their basis in higher-dimensional gravity theories and summarizing their properties, order types, and interactions.

Contribution

It offers a comprehensive summary of various holographic superconductor models, including s-wave, p-wave, and d-wave, from a bottom-up perspective, highlighting their basic properties and interactions.

Findings

Different order types coexist and compete in holographic models.

Basic properties of holographic superconductors are summarized across regimes.

The models connect strongly coupled superconductors with classical gravity theories.

Abstract

In the last years it has been shown that some properties of strongly coupled superconductors can be potentially described by classical general relativity living in one higher dimension, which is known as holographic superconductors. This paper gives a quick and introductory overview of some holographic superconductor models with s-wave, p-wave and d-wave orders in the literature from point of view of bottom-up, and summarizes some basic properties of these holographic models in various regimes. The competition and coexistence of these superconductivity orders are also studied in these superconductor models.