Relaxation and edge reconstruction in integer quantum Hall systems

The interplay between the confinement potential and the electron–electron interactions causes reconstructions of quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer quantum Hall edge states. In translationally invariant...

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Main Authors: Torsten Karzig, Alex Levchenko, Leonid I Glazman, Felix von Oppen
Format: Article
Language:English
Published: IOP Publishing 2012-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/14/10/105009
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author Torsten Karzig
Alex Levchenko
Leonid I Glazman
Felix von Oppen
author_facet Torsten Karzig
Alex Levchenko
Leonid I Glazman
Felix von Oppen
author_sort Torsten Karzig
collection DOAJ
description The interplay between the confinement potential and the electron–electron interactions causes reconstructions of quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer quantum Hall edge states. In translationally invariant edges, the relaxation of hot electrons is governed by three-body collisions, which are sensitive to the electron dispersion and thus to reconstruction effects. We show that the relaxation rates are significantly altered in different reconstruction scenarios.
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spelling doaj.art-65b340a5abd149b4a1a9d8a8749ca48c2023-08-08T11:07:26ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141010500910.1088/1367-2630/14/10/105009Relaxation and edge reconstruction in integer quantum Hall systemsTorsten Karzig0Alex Levchenko1Leonid I Glazman2Felix von Oppen3Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin , 14195 Berlin, GermanyDepartment of Physics and Astronomy, Michigan State University , East Lansing, MI 48824, USADepartment of Physics, Yale University , 217 Prospect Street, New Haven, CT 06520, USADahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin , 14195 Berlin, GermanyThe interplay between the confinement potential and the electron–electron interactions causes reconstructions of quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer quantum Hall edge states. In translationally invariant edges, the relaxation of hot electrons is governed by three-body collisions, which are sensitive to the electron dispersion and thus to reconstruction effects. We show that the relaxation rates are significantly altered in different reconstruction scenarios.https://doi.org/10.1088/1367-2630/14/10/105009
spellingShingle Torsten Karzig
Alex Levchenko
Leonid I Glazman
Felix von Oppen
Relaxation and edge reconstruction in integer quantum Hall systems
New Journal of Physics
title Relaxation and edge reconstruction in integer quantum Hall systems
title_full Relaxation and edge reconstruction in integer quantum Hall systems
title_fullStr Relaxation and edge reconstruction in integer quantum Hall systems
title_full_unstemmed Relaxation and edge reconstruction in integer quantum Hall systems
title_short Relaxation and edge reconstruction in integer quantum Hall systems
title_sort relaxation and edge reconstruction in integer quantum hall systems
url https://doi.org/10.1088/1367-2630/14/10/105009
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AT alexlevchenko relaxationandedgereconstructioninintegerquantumhallsystems
AT leonidiglazman relaxationandedgereconstructioninintegerquantumhallsystems
AT felixvonoppen relaxationandedgereconstructioninintegerquantumhallsystems