2006/05/29 by Kwangmoo Kim, D. Stroud, David Stroud
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Classical XY model #Combinatorics #Condensed matter physics #Critical exponent #Lattice (music) #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Renormalization group #Superconductivity #Theoretical and Computational Physics #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.73.224504
34 pages, 13 figures, 1 table, Phys. Rev. B in press
arxiv created 2006/05/29 · openalex publication_date 2006/06/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 H=(\ensuremathΦ0∕a2)(1∕2,1∕2,1∕2). We find that the model has a continuous phase transition with critical temperature Tc=0.681\phantom\rule0.3em0exJ∕kB, where J is the XY coupling constant, and critical exponents \ensuremathα∕\ensuremathν=0.87\ifmmode±\else\textpm\fi0.01, v∕\ensuremathν=0.82\ifmmode±\else\textpm\fi0.01, and \ensuremathν=0.72\ifmmode±\else\textpm\fi0.07, where \ensuremathα, v, and \ensuremathν 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.