Rigorous results on valence-bond ground states in antiferromagnets

Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki
Phys. Rev. Lett. 59, 799 – Published 17 August 1987
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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.

  • Received 26 May 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.799

©1987 American Physical Society

Authors & Affiliations

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

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

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Issue

Vol. 59, Iss. 7 — 17 August 1987

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