Singlets and reflection symmetric spin systems

Elliott H. Lieb and Peter Schupp

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 378-385

Abstract: 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.

Keywords: Quantum spin system; Frustration; Pyrochlore; Reflection postitivity; Heisenberg antiferromagnet (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:378-385

DOI: 10.1016/S0378-4371(99)00521-X

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