Exact Antiferromagnetic Ground States of Quantum Spin Chains

Fannes, M. and Nachtergaele, B. and Werner, R. F. (1989) Exact Antiferromagnetic Ground States of Quantum Spin Chains. (Preprint)

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Abstract

We recall a simple class of translation invariant states for an infinite quantum spin chain, which was introduced by L. Accardi. Those states have exponential decay of correlation functions, and a subclass contains the ground states of a certain class of finite range interactions. We consider, in particular, a family of states for integer spin chains, containing as its simplest member the ground state of a spin 1 Heisenberg antiferromagnet recently studied by I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki. For this family we compute explicitly the correlation functions and other properties.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:17
Last Modified: 23 Jul 2018 10:37
URI: http://dair.dias.ie/id/eprint/787

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