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arXiv 1206.5740cond-mat.str-elgr-qchep-lathep-th
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二维受抑Heisenberg模型中的涌现临界相和Ricci流

Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model

Peter P. Orth, Premala Chandra, Piers Coleman, Jörg Schmalian

摘要:

我们引入了一个二维受抑海森堡反铁磁体,它位于相互贯穿的蜂窝和三角晶格上。经典的两个子晶格解耦,并且“从无序中有序”驱使它们进入共面状态。将Friedan的几何方法应用于非线性西格玛模型,我们证明了自旋刚度的标度对应于四维度量张量的Ricci流。在低温下,两个子晶格上自旋之间的相对相位由具有涌现临界相位的六态时钟模型描述。

英文摘要:

We introduce a two-dimensional frustrated Heisenberg antiferromagnet on interpenetrating honeycomb and triangular lattices. Classically the two sublattices decouple, and "order from disorder" drives them into a coplanar state. Applying Friedan's geometric approach to nonlinear sigma models, we show that the scaling of the spin-stiffnesses corresponds to the Ricci flow of a 4D metric tensor. At low temperatures, the relative phase between the spins on the two sublattices is described by a six-state clock model with an emergent critical phase.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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