Tunable ${\cal \chi/PT}$ Symmetry in Noisy Graphene

TL;DR

This paper explores how to achieve tunable ${ m \chi/PT}$ symmetry in noisy graphene-based mesoscopic cavities using non-Hermitian quantum mechanics, focusing on parameter control of chirality and PT symmetry to reach resonance.

Contribution

It introduces a novel approach to control ${ m \chi/PT}$ symmetry in graphene systems by coupling chirality, parity, and time reversal symmetries through scattering matrix formalism.

Findings

Resonant regime achieved by parameter tuning.

Application of non-Hermitian quantum mechanics to graphene.

Scattering matrix formalism used to analyze shot noise.

Abstract

We investigate the resonant regime of a mesoscopic cavity made of graphene or a doped beam splitter. Using Non-Hermitian Quantum Mechanics, we consider the Bender-Boettcher assumption that a system must obey parity and time reversal symmetry. Therefore, we describe such system by coupling chirality, parity and time reversal symmetries through the scattering matrix formalism and apply it in the shot noise functions, also derived here. Finally we show how to achieve the resonant regime only by setting properly the parameters concerning the chirality and the PT symmetry.