Haldane's Fractional Statistics and the Lowest Landau Level on a Torus

Physics – Condensed Matter

Scientific paper

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4 pages, Revtex. Small modifications. The modified version to appear in Phys. Rev. Lett., Feb., 1996

Scientific paper

10.1103/PhysRevLett.76.1707

The Lowest Landau Level on a torus is studied. The dimension of the many-body
Hilbert space is obtained and is found to be different from the formula given
by Haldane. Our result can be tested in numerical investigations of the
low-energy spectrum of fractional quantum Hall states on a torus.

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