Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied

Samarth Chandra

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 18, 3739-3742

Abstract: We construct clusters of classical Heisenberg spins with two-spin S→i.S→j-type interactions for which the ground state manifold consists of disconnected pieces. We extend the construction to lattices and couplings for which the ground state manifold splits into an exponentially large number of disconnected pieces at a sharp point as the interaction strengths are varied with respect to each other. In one such lattice we construct, the number of disconnected pieces in the ground state manifold can be counted exactly.

Keywords: Classical Heisenberg spins; Ground state manifold (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:18:p:3739-3742

DOI: 10.1016/j.physa.2010.05.014

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