Bose-Einstein condensation of polaritons in graphene in a high magnetic field

TL;DR

This paper predicts Bose-Einstein condensation of magnetoexcitonic polaritons in graphene under high magnetic fields, highlighting the effects of magnetic field strength and trapping potential on polariton properties and critical temperature.

Contribution

It introduces the concept of BEC of magnetoexcitonic polaritons in graphene in high magnetic fields, analyzing how magnetic field and trapping potential influence polariton mass and condensation temperature.

Findings

Polariton effective mass increases with magnetic field as B^{1/2}.

Critical temperature decreases as B^{-1/4}.

Rabi splitting in high magnetic field is calculated.

Abstract

The Bose-Einstein condensation (BEC) of magnetoexcitonic polaritons in a graphene layer embedded in a optical microcavity in a high magnetic field $B$ is predicted. The essential property of this system (in contrast, e.g., to a quantum well embedded in a cavity) is stronger influence of magnetic field and weaker influence of disorder. A two-dimensional (2D) magnetoexcitonic polaritons gas is considered in a planar harmonic electric field potential applied to excitons or a parabolic shape of the optical cavity causing the trapping of microcavity photons. It is shown that the effective polariton mass $M_{\rm eff}$ increases with magnetic field as $B^{1/2}$. The BEC critical temperature $T_{c}^{(0)}$ decreases as $B^{-1/4}$ and increases with the spring constant of the parabolic trap. The Rabi splitting related to the creation of a magnetoexciton in a high magnetic field in graphene is obtained.