Rigorous results on valence-bond ground states in antiferromagnets

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

doi:10.1103/PhysRevLett.59.799

Rigorous results on valence-bond ground states in antiferromagnets

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

Mathematics

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1890 Scopus citations

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 language	English (US)
Pages (from-to)	799-802
Number of pages	4
Journal	Physical review letters
Volume	59
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.59.799
State	Published - 1987

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General Physics and Astronomy

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title = "Rigorous results on valence-bond ground states in antiferromagnets",

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.",

author = "Ian Affleck and Tom Kennedy and Lieb, {Elliott H.} and Hal Tasaki",

year = "1987",

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Rigorous results on valence-bond ground states in antiferromagnets

Abstract

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