Holographic Graphene in a Cavity

TL;DR

This paper explores how confining electromagnetic fields in a cavity affects graphene-like systems, revealing phase transitions, exciton condensation, and mass gap formation through holographic dual models.

Contribution

It introduces a holographic model of graphene in a cavity, analyzing phase transitions and exciton condensation influenced by mirror reflections and symmetry breaking.

Findings

Mass gap can form via exciton condensation with mirror images.

First order phase transition occurs under strong magnetic fields.

Cavity confinement influences the phase structure and exciton dynamics.

Abstract

The effective strength of EM interactions can be controlled by confining the fields to a cavity and these effects might be used to push graphene into a strongly coupled regime. We study the similar D3/probe D5 system on a compact space and discuss the gravity dual for a cavity between two mirrors. We show that the introduction of a conformal symmetry breaking length scale introduces a mass gap on a single D5 sheet. Bilayer configurations display exciton condensation between the sheets. There is a first order phase transition away from the exciton condensate if a strong enough magnetic field is applied. We finally map out the phase structure of these systems in a cavity with the presence of mirror reflections of the probes - a mass gap may form through exciton condensation with the mirror image.