Low Energy Excitations and Phase Transitions in the Frustrated Two-Dimensional XY Model

Abstract

We study the critical properties of the two-dimensional (2D) XY model in a transverse magnetic field with filling factors f=1/3 and 2/5. To obtain a comparison with recent experiments, we investigate the effect of weak quenched bond disorder for f=2/5. A finite-size scaling analysis of extensive Monte Carlo simulations strongly suggests that the critical exponents of the phase transition for f=1/3 and for f=2/5 with disorder are those of the pure 2D Ising model. The relevant low energy excitations are domain walls, and we show that their properties determine the nature of the phase transition.

arXiv comment18 pages, 19 eps figures, RevTex

References in corpus (4)

• Nature of Phase Transitions of Superconducting Wire Networks in a Magnetic Field
• Phases of Josephson Junction Ladders
• The Unusual Universality of Branching Interfaces in Random Media
• Domain Walls and Phase Transitions in the Frustrated Two-Dimensional XY Model

Cited by in corpus (5)

• Incommensurability in the Frustrated Two-Dimensional XY Model
• Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
• Positional Disorder (Random Gaussian Phase Shifts) in the Fully Frustrated Josephson Junction Array (2D XY Model)
• Finite-temperature phase structures of hard-core bosons in an optical lattice with an effective magnetic field
• Effective field theory for two-species bosons in an optical lattice: Multiple order, the Nambu-Goldstone bosons, the Higgs mode and vortex lattice