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

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

2008-10-31

arxiv.org/abs/0811.0026v3

Physics

Condensed Matter

Strongly Correlated Electrons

4pp, no figures. Converted to PRB format, extensive revisions/some reorderings to improve clarity; some cuts

Scientific paper

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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