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 multi-spin $\text{U(1)}$ 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 ${\mathbb{Z}}_6$ order.

4+ pages, 4 figures; includes Supplemental Material (5 pages, 1 figure)

References in corpus (5)

• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Ising transition in the two-dimensional quantum $J_1-J_2$ Heisenberg model
• Emergent Criticality and Friedan Scaling in a 2D Frustrated Heisenberg Antiferromagnet
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• Classical Heisenberg and planar spin models on the windmill lattice

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• Classical phase diagram of the stuffed honeycomb lattice
• Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Quantum order by disorder in Frustrated Spin Nanotubes