Superradiance Transition in Graphene

TL;DR

This paper investigates the conditions under which superradiance transition occurs in graphene, using a tight-binding model and analyzing electron escape rates to understand maximal quantum coherence effects.

Contribution

It introduces a theoretical and numerical framework for identifying superradiance transitions in graphene based on electron escape rates in a pseudo-spin model.

Findings

Superradiance occurs at specific electron transfer rates.

Maximal quantum coherence is achieved during the transition.

Conditions for superradiance depend on escape rate parameters.

Abstract

We study theoretically and numerically the conditions required for the appearance of a superradiance transition in graphene. The electron properties of graphene are described in the single $p_z$-orbital tight-binding approximation, in which the model is reduced to the effective two-level pseudo-spin $1/2$ system. For each level we introduce the electron transfer rate of escape into a continuum. We demonstrate that, under some conditions, the superradiance experiences the maximal quantum coherent escape to the continuum.