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arXiv · 0811.0026

Long range order in the classical kagome antiferromagnet: effective Hamiltonian approach

Christopher L. Henley
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Abstract

Following Huse and Rutenberg [Phys. Rev. B 45, 7536 (1992)], I argue the classical Heisenberg antiferromagnet on the kagom\'e lattice has long-range spin order of the $\sqrt{3}\times\sqrt{3}$ type (modulo gradual orientation fluctuations of the spins' plane). I start from the effective quartic Hamiltonian for the soft (out of plane) spin fluctuation modes, and treat as a perturbation those terms which depend on the discrete coplanar state. Soft mode correlations, which become the coefficients of a discrete effective Hamiltonian, are estimated analytically.

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Christopher L. Henley. 2008-10-31. Long range order in the classical kagome antiferromagnet: effective Hamiltonian approach. https://doi.org/10.1103/physrevb.80.180401

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