Emergent critical phase and ricci flow in a 2D frustrated heisenberg model

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

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number237205
JournalPhysical review letters
Volume109
Issue number23
DOIs
StatePublished - Dec 4 2012

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