Rigorous results on valence-bond ground states in antiferromagnets

Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki

Research output: Contribution to journalArticlepeer-review

1636 Scopus citations


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
Issue number7
StatePublished - Jan 1 1987
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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