publication . Article . 1987

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

Kalmeyer, V.; Laughlin, R. B.;
Open Access
  • Published: 02 Nov 1987
  • Publisher: American Physical Society (APS)
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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arXiv: Condensed Matter::Strongly Correlated Electrons
free text keywords: General Physics and Astronomy, Physics, Valence bond theory, Generalized valence bond, Fractional quantum Hall effect, Resonating valence bond theory, Quantum spin Hall effect, Quantum dimer models, Wave function, Quantum Hall effect, Quantum mechanics, Condensed matter physics
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Article . 1987
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