Off-diagonal long range order in disordered quantum Hall systems

S. L. Sondhi; M. P. Gelfand

doi:10.1016/0921-4526(95)00380-R

Off-diagonal long range order in disordered quantum Hall systems

S. L. Sondhi, M. P. Gelfand

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Ideal quantum Hall states exhibit a novel off-diagonal long range order which reflects an underlying superconductivity of bosonic charge-flux composites. We sketch the extension of these ideas to general quantum Hall systems with disorder and show, by explicit numerical computation, that Read's version of the ODLRO correctly discriminates between the conducting (σ_xy = e²/h) and insulating (σ_xy = 0) phases of noninteracting electrons in random potentials confined to the lowest Landau level.

Original language	English (US)
Pages (from-to)	295-298
Number of pages	4
Journal	Physica B: Physics of Condensed Matter
Volume	212
Issue number	3
DOIs	https://doi.org/10.1016/0921-4526(95)00380-R
State	Published - Aug 2 1995

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1016/0921-4526(95)00380-R

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title = "Off-diagonal long range order in disordered quantum Hall systems",

abstract = "Ideal quantum Hall states exhibit a novel off-diagonal long range order which reflects an underlying superconductivity of bosonic charge-flux composites. We sketch the extension of these ideas to general quantum Hall systems with disorder and show, by explicit numerical computation, that Read's version of the ODLRO correctly discriminates between the conducting (σxy = e2/h) and insulating (σxy = 0) phases of noninteracting electrons in random potentials confined to the lowest Landau level.",

author = "Sondhi, {S. L.} and Gelfand, {M. P.}",

note = "Funding Information: This work was supported in part by NSF grants DMR 91-22385, DMR 91-57018 and the Aspen Center for Physics (SLS), and NSF Grant 94-57928 (MPG). We also acknowledge the Materials Research Laboratory at UIUC for use of their computational facilities. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1995",

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doi = "10.1016/0921-4526(95)00380-R",

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AU - Sondhi, S. L.

AU - Gelfand, M. P.

N1 - Funding Information: This work was supported in part by NSF grants DMR 91-22385, DMR 91-57018 and the Aspen Center for Physics (SLS), and NSF Grant 94-57928 (MPG). We also acknowledge the Materials Research Laboratory at UIUC for use of their computational facilities. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1995/8/2

Y1 - 1995/8/2

N2 - Ideal quantum Hall states exhibit a novel off-diagonal long range order which reflects an underlying superconductivity of bosonic charge-flux composites. We sketch the extension of these ideas to general quantum Hall systems with disorder and show, by explicit numerical computation, that Read's version of the ODLRO correctly discriminates between the conducting (σxy = e2/h) and insulating (σxy = 0) phases of noninteracting electrons in random potentials confined to the lowest Landau level.

AB - Ideal quantum Hall states exhibit a novel off-diagonal long range order which reflects an underlying superconductivity of bosonic charge-flux composites. We sketch the extension of these ideas to general quantum Hall systems with disorder and show, by explicit numerical computation, that Read's version of the ODLRO correctly discriminates between the conducting (σxy = e2/h) and insulating (σxy = 0) phases of noninteracting electrons in random potentials confined to the lowest Landau level.

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JO - Physica B: Physics of Condensed Matter

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Off-diagonal long range order in disordered quantum Hall systems

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