Holographic model of exciton condensation in double monolayer Dirac semimetal

TL;DR

This paper develops a holographic model to study exciton condensation in double monolayer Dirac semimetals, analyzing how condensates form and depend on layer distance, quasiparticle mass, and magnetic fields.

Contribution

It introduces a holographic approach using D5 branes to model exciton condensates, including intralayer and interlayer types, in a strongly interacting regime.

Findings

Interlayer condensate disappears at smaller distances with increasing quasiparticle mass.

Holographic model captures the dependence of condensates on layer separation and quasiparticle properties.

Both intralayer and interlayer condensates are analyzed under strong magnetic fields.

Abstract

In this paper we consider holographic model of exciton condensation in double monolayer Dirac semimetal. Excitons is a bound states of an electron and a hole. Being Bose particles, excitons can form a Bose-Einstein condensate. We study formation of two types of condensates. In first case both the electron and the hole forming the exciton are in the same layer (intralayer condensate), in the second case the electron and the hole are in different layers (interlayer condensate). We study how the condensates depend on the distance between layers and the mass of the quasiparticles in presence of a strong magnetic field. In order to take into account possible strong Coulomb interaction between electrons we use holographic appoach. The holographic model consists of two $D5$ branes embedded into anti de Sitter space. The condensates are described by geometric configuration of the branes. We show that the distance between layers at which interlayer condensate disappears decreases with quasiparticle mass.