Soft wall model for a holographic superconductor

TL;DR

This paper adapts the soft wall holographic model from hadron physics to describe high-temperature superconductors, offering a simpler, more phenomenological approach with greater flexibility for fitting experimental conductivity data.

Contribution

It introduces a novel application of the soft wall holographic model to high-$T_c$ superconductivity, expanding the toolkit for phenomenological modeling in this field.

Findings

The model can fit conductivity properties of high-$T_c$ materials.

It provides a simpler alternative to existing holographic superconductor models.

The approach offers insights into the possible origins of high-$T_c$ superconductivity.

Abstract

We apply the soft wall holographic model from hadron physics to a description of the high-$T_c$ superconductivity. In comparison with the existing bottom-up holographic superconductors, the proposed approach is more phenomenological. On the other hand, it is much simpler and has more freedom for fitting the conductivity properties of the real high-$T_c$ materials. We demonstrate some examples of emerging models and discuss a possible origin of the approach.