Extended Heisenberg models of antiferromagnetism: Analogies to the fractional quantum Hall effect
- 8 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (6) , 531-534
- https://doi.org/10.1103/physrevlett.60.531
Abstract
The ‘‘valence-bond’’ ground states for extended Heisenberg models discussed by Affleck et al. are shown to be of a Jastrow form. We discuss a striking analogy between these models and the ‘‘truncated pseudopotential’’ approach to the fractional quantum Hall effect. The valence-bond states are in analogy to the Laughlin ground state, and the magnon spectrum is deduced by use of a single-mode approximation.Keywords
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