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Abbreviated Journal Title

Phys. Rev. B

Keywords

Topological Invariant; Conductance; Parameter; Physics; Condensed Matter

Abstract

Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by perturbing around a mean-field approximation, so the question as to whether such an approximation is meaningful arises immediately. We here study 2D interacting electrons in a half-filled Landau level mapped onto interacting hard-core bosons in a magnetic field. We argue that an interacting hard-core boson system in a uniform external field such that there is one flux quantum per particle (unit filling) exhibits an integer quantum Hall effect. As a consequence, the mean-field approximation for mapping electrons at half-filling to a boson system at integer filling fails.

Journal Title

Physical Review B

Volume

53

Issue/Number

3

Publication Date

1-1-1996

Document Type

Article

Language

English

First Page

1517

Last Page

1521

WOS Identifier

WOS:A1996TU29000087

ISSN

0163-1829

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