Dissipation and dephasing in quantum Hall interferometers

Fuente: arXiv
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Autores principales: Liu, Peng-Yi, Sun, Qing-Feng
Formato: Preprint
Publicado: 2024
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author Liu, Peng-Yi
Sun, Qing-Feng
author_facet Liu, Peng-Yi
Sun, Qing-Feng
contents In recent years, counter-intuitive results have shown that the quantum Hall edge states with topological protection can be dissipative. In this paper, we point out that the non-equilibrium nature of edge states in quantum Hall interferometers leads to inevitable dissipation. We consider a graphene interferometer operating in the integer quantum Hall regime and simulate the inelastic scattering that causes both dissipation and dephasing in the interferometer using non-equilibrium Green's function and virtual leads. We describe the dissipation process with the numerical results of the spatial distribution of heat generation and the evolution of electron energy distribution. In addition, with the enhancement of dephasing, a competition between Aharonov-Bohm interference and topologically protected quantized Hall plateaus is observed in the oscillations and fluctuations of the Hall resistances. At a suitable dephasing strength, quantum Hall plateaus can be promoted by dephasing. Our results not only give clues for the design of dissipation-free devices but also provide a platform for studying the non-equilibrium relaxation and the dissipation mechanism of topological states.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21756
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dissipation and dephasing in quantum Hall interferometers
Liu, Peng-Yi
Sun, Qing-Feng
Mesoscale and Nanoscale Physics
In recent years, counter-intuitive results have shown that the quantum Hall edge states with topological protection can be dissipative. In this paper, we point out that the non-equilibrium nature of edge states in quantum Hall interferometers leads to inevitable dissipation. We consider a graphene interferometer operating in the integer quantum Hall regime and simulate the inelastic scattering that causes both dissipation and dephasing in the interferometer using non-equilibrium Green's function and virtual leads. We describe the dissipation process with the numerical results of the spatial distribution of heat generation and the evolution of electron energy distribution. In addition, with the enhancement of dephasing, a competition between Aharonov-Bohm interference and topologically protected quantized Hall plateaus is observed in the oscillations and fluctuations of the Hall resistances. At a suitable dephasing strength, quantum Hall plateaus can be promoted by dephasing. Our results not only give clues for the design of dissipation-free devices but also provide a platform for studying the non-equilibrium relaxation and the dissipation mechanism of topological states.
title Dissipation and dephasing in quantum Hall interferometers
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2410.21756