Rigorous results on valence-bond ground states in antiferromagnets

Ian Affleck, Thomas G Kennedy, Elliott H. Lieb, Hal Tasaki

Research output: Contribution to journalArticle

1452 Citations (Scopus)

Abstract

We present rigorous results on a phase in antiferromagnets in one dimension and more, which we call a valence-bond solid. The ground state is simply constructed out of valence bonds, is nondegenerate, and breaks no symmetries. There is an energy gap and an exponentially decaying correlation function. Physical applications are mentioned.

Original languageEnglish (US)
Pages (from-to)799-802
Number of pages4
JournalPhysical Review Letters
Volume59
Issue number7
DOIs
StatePublished - 1987
Externally publishedYes

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valence
ground state
symmetry

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  • Physics and Astronomy(all)

Cite this

Rigorous results on valence-bond ground states in antiferromagnets. / Affleck, Ian; Kennedy, Thomas G; Lieb, Elliott H.; Tasaki, Hal.

In: Physical Review Letters, Vol. 59, No. 7, 1987, p. 799-802.

Research output: Contribution to journalArticle

Affleck, Ian ; Kennedy, Thomas G ; Lieb, Elliott H. ; Tasaki, Hal. / Rigorous results on valence-bond ground states in antiferromagnets. In: Physical Review Letters. 1987 ; Vol. 59, No. 7. pp. 799-802.
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