Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice

Abstract

Phase coherence and vortex order in the fully frustrated XY model on a two-dimensional honeycomb lattice are studied by extensive Monte Carlo simulations using the parallel tempering method and finite-size scaling. No evidence is found for an equilibrium order-disorder or a spin/vortex-glass transition, suggested in previous simulation works. Instead, the scaling analysis of correlations of phase and vortex variables in the full equilibrated system is consistent with a phase transition where the critical temperature vanishes and the correlation lengths diverge as a power-law with decreasing temperatures and corresponding critical exponents ${\nu }_{ph}$ and ${\nu }_v$. This behavior and the near agreement of the critical exponents suggest a zero-temperature transition scenario where phase and vortex variables remain coupled on large length scales.

8 pages, 10 figures

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Cited by in corpus (5)

• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Avoided criticality and slow relaxation in frustrated two dimensional models
• Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
• Ordered phases and phase transitions in the fully frustrated XY model on a honeycomb lattice