Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany.
Phys Rev Lett. 2012 Dec 7;109(23):237205. doi: 10.1103/PhysRevLett.109.237205. Epub 2012 Dec 4.
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 obtain the scaling of the spin stiffnesses governed by the Ricci flow of a four-dimensional 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.
我们介绍了一种在相互贯穿的蜂窝状和三角晶格上的二维受挫海森堡反铁磁体。在经典情况下，两个子晶格解耦，并且“无序出有序”会将它们驱动到共面状态。应用弗里丹的几何方法到非线性 sigma 模型，我们得到了由四维度规张量的 Ricci 流控制的自旋弹性的标度。在低温下，两个子晶格上的自旋之间的相对相位由一个具有突现临界相的六态时钟模型描述。
