Extended Heisenberg models of antiferromagnetism: Analogies to the fractional quantum Hall effect

Arovas, Daniel P.; Auerbach, Assa; Haldane, F.D.M.

doi:10.1103/PhysRevLett.60.531

Extended Heisenberg models of antiferromagnetism: Analogies to the fractional quantum Hall effect

Daniel P. Arovas
(
- Illinois U., Chicago
)
,
Assa Auerbach
(
- Illinois U., Chicago
)
,
F.D.M. Haldane
(
- UC, San Diego
)

Feb 8, 1988

3 pages

Published in:

Phys.Rev.Lett. 60 (1988) 531-534

DOI:

10.1103/PhysRevLett.60.531

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Abstract: (APS)

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.