Inversion-layer width, electron-electron interactions, and the fractional quantum Hall effect

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DOIResolve DOI: http://doi.org/10.1103/PhysRevB.29.5976
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TypeArticle
Journal titlePhysical Review B
ISSN0163-1829
Volume29
Issue10
Pages59765978; # of pages: 3
AbstractThe current understanding of the fractional quantum Hall effect is based on the incompressible quantum fluid state proposed by Laughlin [Phys. Rev. Lett. 50, 1395 (1983)]. For a two-dimensional electron gas with Coulombic electron-electron interactions this proposal has been justified by demonstrating that Laughlin's state is lower in energy than the charge-density-wave state of the same system. In an actual inversion layer, the effective electron-electron interaction is strongly modified when the electron-electron separation becomes comparable with the inversion layer width. In this Rapid Communication we demonstrate that this modification results in a substantial reduction in the energy of both Laughlin and charge-density-wave states, but nevertheless leaves Laughlin's state lower in energy.
Publication date
LanguageEnglish
AffiliationNational Research Council Canada
Peer reviewedYes
NRC number23290
NPARC number21274659
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Record identifiercb331b9c-81a6-4026-8876-4e4451a6b831
Record created2015-03-19
Record modified2016-05-09
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