Equivalence of the resonating-valence-bond and fractional quantum Hall states

descriptionPublicationkeyboard_double_arrow_right Article 02 Nov 1987 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 59, pages 2,095-2,098 (issn: 0031-9007,

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Authors: Kalmeyer, V.; Laughlin, R. B.;

doi: 10.1103/physrevlett.59.2095

pmid: 10035416

Equivalence of the resonating-valence-bond and fractional quantum Hall states

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Abstract

We present evidence that the ground state of the frustrated Heisenberg antiferromagnet in two dimensions is well described by a fractional quantum Hall wave function for bosons. This is compatible with the resonating valence-bond concept of Anderson in being a liquid with neutral spin-(1/2 excitations. Our results suggest strongly that the resonating valence bond and fractional quantum Hall states are the same thing. We also argue that the excitation spectrum ahs an energy gap.

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