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

Daniel P. Arovas, Assa Auerbach, Frederick D. Haldane

Research output: Contribution to journalArticle

239 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)531-534
Number of pages4
JournalPhysical Review Letters
Volume60
Issue number6
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Extended Heisenberg models of antiferromagnetism: Analogies to the fractional quantum Hall effect'. Together they form a unique fingerprint.

  • Cite this