Singlets and reflection symmetric spin systems

We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

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Year of publication:	2000
Authors:	Lieb, Elliott H. ; Schupp, Peter
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 279.2000, 1, p. 378-385
Publisher:	Elsevier
Subject:	Quantum spin system \| Frustration \| Pyrochlore \| Reflection postitivity \| Heisenberg antiferromagnet

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010874611