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

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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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Kalmeyer et al. (Mon,) studied this question.

synapsesocial.com/papers/6a08056cdf3db873981074a7 https://doi.org/https://doi.org/10.1103/physrevlett.59.2095

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