The quantum Hall effect in the absence of disorder

Abstract It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) resul...

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Auteurs principaux:	Kyung-Su Kim, Steven A. Kivelson
Format:	article
Langue:	EN
Publié:	Nature Portfolio 2021
Sujets:	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197
Accès en ligne:	https://doaj.org/article/f2226305a99a4a1b9e7f737a77bf1aff
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spelling	oai:doaj.org-article:f2226305a99a4a1b9e7f737a77bf1aff2021-12-02T16:01:15ZThe quantum Hall effect in the absence of disorder10.1038/s41535-021-00321-w2397-4648https://doaj.org/article/f2226305a99a4a1b9e7f737a77bf1aff2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41535-021-00321-whttps://doaj.org/toc/2397-4648Abstract It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.Kyung-Su KimSteven A. KivelsonNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Atomic physics. Constitution and properties of matterQC170-197ENnpj Quantum Materials, Vol 6, Iss 1, Pp 1-3 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197 Kyung-Su Kim Steven A. Kivelson The quantum Hall effect in the absence of disorder
description	Abstract It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e., for the existence of “plateaus” in the quantum Hall effect. Here, we show that the existence of a quasi-particle Wigner crystal (QPWC) results in the persistence of plateaus of finite extent even in the limit of vanishing disorder. Several experimentally detectable features that characterize the behavior in the zero disorder limit are also explored.
format	article
author	Kyung-Su Kim Steven A. Kivelson
author_facet	Kyung-Su Kim Steven A. Kivelson
author_sort	Kyung-Su Kim
title	The quantum Hall effect in the absence of disorder
title_short	The quantum Hall effect in the absence of disorder
title_full	The quantum Hall effect in the absence of disorder
title_fullStr	The quantum Hall effect in the absence of disorder
title_full_unstemmed	The quantum Hall effect in the absence of disorder
title_sort	quantum hall effect in the absence of disorder
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/f2226305a99a4a1b9e7f737a77bf1aff
work_keys_str_mv	AT kyungsukim thequantumhalleffectintheabsenceofdisorder AT stevenakivelson thequantumhalleffectintheabsenceofdisorder AT kyungsukim quantumhalleffectintheabsenceofdisorder AT stevenakivelson quantumhalleffectintheabsenceofdisorder
_version_	1718385305849954304

The quantum Hall effect in the absence of disorder

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