Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
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二维和三维经典戈薇反铁磁体的八极排序
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发表时间：
2008
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通讯作者：
M. Zhitomirsky
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文献类型：
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作者：
M. Zhitomirsky
用蒙特卡罗方法研究了二维Kagome晶格和三维超Kagome晶格上的经典Heisenberg反铁磁体。对于这两个模型，低温下的对称性破缺态都用非零八极矩或三阶自旋张量序参数来描述。在二维Kagome反铁磁体的情况下，在T_k~0.004J处发生急剧的交叉进入共面状态，我们将其归因于分数涡的扩散。三维模型在T_c~0.002J处发生一级相变，转变为具有临界自旋关联的相，具有长程八极矩量级。
Classical Heisenberg antiferromagnets on two-dimensional kagome and three-dimensional hyperkagome lattices are investigated by Monte Carlo simulations. For both models the symmetry-breaking states at low temperatures are described by non-zero octupole moments or third-rank spin tensor order parameters. In the case of the two-dimensional kagome antiferromagnet, a sharp crossover into a coplanar state takes place at T_k ~ 0.004J, which we attribute to proliferation of fractional vortices. The three-dimensional model exhibits a first-order transition at T_c ~ 0.002J into a phase with critical spin correlations, which possesses a long-range order of octupole moments.