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

V. Kalmeyer and R. B. Laughlin
Phys. Rev. Lett. 59, 2095 – Published 2 November 1987
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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.

  • Received 24 July 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.2095

©1987 American Physical Society

Authors & Affiliations

V. Kalmeyer

  • Department of Physics, Stanford University, Stanford, California 94305

R. B. Laughlin

  • Department of Physics, Stanford University, Stanford, California 94305
  • University of California, Lawrence Livermore National Laboratory, Livermore, California 94550

Comments & Replies

Laughlin and Kalmeyer Reply

R. B. Laughlin and V. Kalmeyer
Phys. Rev. Lett. 61, 2631 (1988)

Quasiparticle Statistics in Time-Reversal Invariant States

S. A. Kivelson and D. S. Rokhsar
Phys. Rev. Lett. 61, 2630 (1988)

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Vol. 59, Iss. 18 — 2 November 1987

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