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

Long-range order in the classical kagome antiferromagnet: Effective Hamiltonian approach
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经典戈薇反铁磁体中的长程有序:有效的哈密顿方法

DOI:
10.1103/physrevb.80.180401
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发表时间:
2008
期刊:
影响因子:
3.7
通讯作者:
C. Henley
C. Henley
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Henley

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根据Huse和Rutenberg [Phys. Rev. B 45,7536(1992)],我认为Kagom\'e晶格上的经典海森堡反铁磁体具有$\sqrt{3}\times\sqrt {3}$型的长程自旋序(自旋平面的模渐进取向涨落).我从软(面外)自旋涨落模的有效四次哈密顿量开始,并将依赖于离散共面态的那些项视为微扰。软模式的相关性,成为一个离散的有效哈密顿系数,估计解析。
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.