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Phys. Rev. Lett. 59, 799–802 (1987)

Rigorous results on valence-bond ground states in antiferromagnets

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Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

Received 26 May 1987; published in the issue dated 17 August 1987

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.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.59.799
DOI:
10.1103/PhysRevLett.59.799
PACS:
75.10.Jm