Singlets and reflection symmetric spin systems

Details Singlets and reflection symmetric spin systems Singlets and reflection symmetric spin systems

1999-10-24

arxiv.org/abs/math-ph/9910037v1

Physics

Mathematical Physics

11 pages, LaTeX 2e

Scientific paper

10.1016/S0378-4371(99)00521-X

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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