Resistive transition in $\pi$-junction superconductors

Abstract

The resistivity behavior of inhomogeneous superconductors with random $\pi$ junctions, as in high-$T_c$ materials with d-wave symmetry, is studied by numerical simulation of a three-dimensional XY spin glass model. Above a concentration threshold of antiferromagnetic couplings, a resistive transition is found in the chiral-glass phase at finite temperatures and the critical exponents are determined from dynamic scaling analysis. The power-law exponent for the nonlinear contribution found in recent resistivity measurements is determined by the dynamic critical exponent of this transition.

arXiv comment4 pages, 3 figures, to appear in Phys. Rev. B

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Cited by in corpus (8)

• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• The ordering of XY spin glasses
• Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation
• Finite spin-glass transition of the $\pm J$ XY model in three dimensions
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Numerical study of the ordering of the +-J XY spin-glass ladder
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models