A study of layered holographic superconductor

TL;DR

This paper explores a holographic multi-layered superconductor model in (2+1) dimensions, examining how finite size and layering influence critical properties and the transition from 2D to 3D superconducting behavior.

Contribution

It introduces a holographic model for layered superconductors and analyzes the impact of system size and layer spacing on superconducting properties.

Findings

Critical temperature varies with number of layers.

Critical magnetic field depends on layer spacing.

Transition from 2D to 3D behavior as layers increase.

Abstract

We have investigated a holographic model of a multi-layered superconductor in (2+1)-dimensions using the AdS/CFT correspondence. This correspondence allows us to study strongly interacting condensed matter systems through a weakly interacting gravitational theory. Our study focused on the effects of a finite system size on the superconductor's properties. We observed significant variations in the critical temperature and critical magnetic field depending on the number of layers and the spacing between them. Notably, our results capture the transition from a two-dimensional (2D) to a three-dimensional (3D) behavior in the limit of a large number of closely spaced layers. This transition signifies a change in how the superconductivity operates within real material.