title: Emergent Power-Law Phase in the 2D Heisenberg Windmill Antiferromagnet: A Computational Experiment.
abstract: In an extensive computational experiment, we test Polyakov's conjecture that under certain circumstances an isotropic Heisenberg model can develop algebraic spin correlations. We demonstrate the emergence of a multispin U(1) order parameter in a Heisenberg antiferromagnet on interpenetrating honeycomb and triangular lattices. The correlations of this relative phase angle are observed to decay algebraically at intermediate temperatures in an extended critical phase. Using finite-size scaling we show that both phase transitions are of the Berezinskii-Kosterlitz-Thouless type, and at lower temperatures we find long-range Z(6) order.
authors.affiliation: Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany.
authors.forename: Bhilahari
authors.initials: B
authors.lastname: Jeevanesan
authors.affiliation: Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA.
authors.forename: Premala
authors.initials: P
authors.lastname: Chandra
authors.affiliation: Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA.|Hubbard Theory Consortium and Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, United Kingdom.
authors.forename: Piers
authors.initials: P
authors.lastname: Coleman
authors.affiliation: Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany.|School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA.
authors.forename: Peter P
authors.initials: PP
authors.lastname: Orth