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Anyon superconductivity and the fractional quantum Hall effect

Dung-Hai Lee, Matthew P. A. Fisher

DOI 10.1103/PhysRevLett.63.903 · Physical Review Letters

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Abstract

We obtain a hierarchy of effective Hamiltonians which allow for a unified treatment of the fractional quantum Hall effect and a gas of fractional-statistics particles (anyons) in two dimensions. Anyon superconductivity is the analog of the fractional quantum Hall effect. For rational statistics parameter αs=P/Q with PQ even, Q anyons bind forming a charge Qe superfluid.

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