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

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...

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Bibliographic Details
Published in:arXiv.org 2006-05
Main Authors: Kim, Kwangmoo, Stroud, David
Format: Article
Language:English
Subjects:
Computer simulation
Critical temperature
Cubic lattice
Helicity
Monte Carlo simulation
Phase transitions
Three dimensional models
Online Access:Get full text
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Summary: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 \({\bf H} = (\Phi_0/a^2)(1/2,1/2,1/2)\). We find that the model has a continuous phase transition with critical temperature \(T_c = 0.681 J/k_B\), 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.
ISSN:2331-8422
DOI:10.48550/arxiv.0605690