Continuous phase transition of a fully frustrated XY model in three dimensions

Abstract

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds to a lattice of Josephson-coupled superconducting grains in an applied magnetic field $\mathbf{H}=({\Phi }_0/a^2)(1/2,1/2,1/2)$. We find that the model has a continuous phase transition with critical temperature $T_c=0.681J/k_B$, where $J$ is the XY coupling constant, and critical exponents $\alpha /\nu =0.87\pm 0.01$, $v/\nu =0.82\pm 0.01$, and $\nu =0.72\pm 0.07$, where $\alpha$, $v$, and $\nu$ describe the critical behavior of the specific heat, helicity modulus, and correlation length. We briefly compare our results with other studies of this model, and with a mean-field approximation.

arXiv comment34 pages, 13 figures, 1 table, Phys. Rev. B in press

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• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice
• Monte Carlo analysis of critical phenomenon of the Ising model on memory stabilizer structures
• Persistent current in a 2D Josephson junction array wrapped around a cylinder