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Superfluid-insulator transition of the Josephson-junction array model with commensurate frustration

2002/04/01 by Hunpyo Lee, Min-Chul Cha · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.65.172505

RevTex 4, to appear in PRB

arxiv created 2002/04/01 · openalex publication_date 2002/04/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We have studied the rationally frustrated Josephson-junction array model in the square lattice through Monte Carlo simulations of the (2+1)-dimensional XY model. For frustration f=1/4, the model at zero temperature shows a continuous superfluid-insulator transition. From the measurement of the correlation function and the superfluid stiffness, we obtain the dynamical critical exponent z=1.0 and the correlation length critical exponent \ensuremathν=0.4\ifmmode±\else\textpm\fi0.05. While the dynamical critical exponent is the same as that for cases f=0, 1/2, and 1/3, the correlation length critical exponent is surprisingly quite different. When f=1/5, we have the nature of a first-order transition.

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