Tunable $chi /mathcal {P}mathcal {T}$ Symmetry in Noisy Graphene |
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| Authors: | E. Frade Silva A. L. R. Barbosa M. S. Hussein J. G. G. S. Ramos |
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| Affiliation: | 1.Departamento de Física,Universidade Federal da Paraíba,Jo?o Pessoa,Brazil;2.Departamento de Física,Universidade Federal Rural de Pernambuco,Recife,Brazil;3.Instituto de Estudos Avan?ados and Instituto de Física,Universidade de S?o Paulo,S?o Paulo,Brazil;4.Departamento de Física,Instituto Tecnológico de Aeronáutica, CTA,S?o José dos Campos,Brazil |
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| 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. |
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