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1989•Physical Review LettersRequires access

Anyon superconductivity and the fractional quantum Hall effect

Dung‐Hai Lee, Matthew P. A. Fisher

Open publisher page 187 citations

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 ${\ensuremath{\alpha}}_{s}$=P/Q with PQ even, Q anyons bind forming a charge Qe superfluid.

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What this paper is about

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 ${\ensuremath{\alpha}}_{s}$=P/Q with PQ even, Q anyons bind forming a charge Qe superfluid.

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OpenAlex reports 187 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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 ${\ensuremath{\alpha}}_{s}$=P/Q with PQ even, Q anyons bind forming a charge Qe superfluid.

Key concepts: Anyon, Topological quantum computer, Fractional quantum Hall effect, Superfluidity, Physics, Quantum Hall effect, Superconductivity, Quantum mechanics

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