%0 Journal Article
%T Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model
%A Peter P. Orth
%A Premala Chandra
%A Piers Coleman
%A J£¿rg Schmalian
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevLett.109.237205
%X 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.
%U http://arxiv.org/abs/1206.5740v2