Physics – Condensed Matter
Scientific paper
1995-10-20
Physics
Condensed Matter
13 pages latex with revtex. To be published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.53.1517
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 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.
Heinonen Olle
Johnson Michael D.
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