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Long-range order in the classical kagome antiferromagnet: Effective Hamiltonian approach

Christopher L. Henley
Phys. Rev. B 80, 180401(R) – Published 2 November 2009

Abstract

Following Huse and Rutenberg [Phys. Rev. B 45, 7536 (1992)], I argue the classical Heisenberg antiferromagnet on the kagome lattice has long-range spin order of the 3×3 type in the limit of zero temperature. 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 expectations become the coefficients of a discrete effective Hamiltonian, which (after a coarse graining) has the sign favoring a locking transition in the interface representation of the discrete model.

  • Received 5 January 2009
  • Corrected 4 November 2009

DOI:https://doi.org/10.1103/PhysRevB.80.180401

©2009 American Physical Society

Corrections

4 November 2009

Erratum

Authors & Affiliations

Christopher L. Henley

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA

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Issue

Vol. 80, Iss. 18 — 1 November 2009

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