Equivalence of the resonating-valence-bond and fractional quantum Hall states
Open Access
- 2 November 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 59 (18), 2095-2098
- https://doi.org/10.1103/physrevlett.59.2095
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.Keywords
This publication has 8 references indexed in Scilit:
- Resonating–valence-bond theory of phase transitions and superconductivity in-based compoundsPhysical Review Letters, 1987
- Topology of the resonating valence-bond state: Solitons and high-superconductivityPhysical Review B, 1987
- Magneto-roton theory of collective excitations in the fractional quantum Hall effectPhysical Review B, 1986
- Ground State of Antiferromagnetic Quantum Spin Systems on the Triangular LatticeJournal of the Physics Society Japan, 1986
- Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall StatesPhysical Review Letters, 1984
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Resonating valence bonds: A new kind of insulator?Materials Research Bulletin, 1973
- Field Dependence of the Intrinsic Domain Magnetization of a FerromagnetPhysical Review B, 1940