Effective Hamiltonians for state selection in Heisenberg antiferromagnets

Details Effective Hamiltonians for state selection in Heisenberg antiferromagnets Effective Hamiltonians for state selection in Heisenberg antiferromagnets

2008-11-06

arxiv.org/abs/0811.0955v2

Physics

Condensed Matter

Statistical Mechanics

11 pp. LaTeX. Added sec II C, rearranged/improved Sec III B/C, added a few references, small corrections/additions throughout

Scientific paper

In frustrated antiferromagnets with isotropic exchange interactions, there is typically a manifold of degenerate classical ground states. This degeneracy is broken by the (free) energy of quantum or thermal fluctuations, or the uniform effects of bond disorder. We derive effective Hamiltonians to express each kind of selection effect, in both exact forms and convenient approximate forms. It is argued that biquadratic terms, representing the collinear-selecting effects of quantum fluctuations, should be included in classical simulations of large-$S$ frustrated magnets at low temperatures

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