Phase-coherence transition in granular superconductors with $\pi$ junctions

Abstract

We study the three-dimensional XY-spin glass as a model for the resistive behavior of granular superconductors containing a random distribution of $\pi$ junctions, as in high-$T_c$ superconducting materials with d-wave symmetry. The $\pi$ junctions leads to quenched in circulating currents (chiralities) and to a chiral-glass state at low temperatures, even in the absence of an external magnetic field. Dynamical simulations in the phase representation are used to determine the nonlinear current-voltage characteristics as a function of temperature. Based on dynamic scaling analysis, we find a phase-coherence transition at finite temperature below which the linear resistivity should vanish and determine the corresponding critical exponents. The results suggest that the phase and chiralities may order simultaneously for decreasing temperatures into a superconducting chiral-glass state.

5 pages, 1 figure, Proc. of ICM 2000, to appear in J. Magn. Magn. Mater

References in corpus (2)

• Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors
• Nonlinear response scaling of the two-dimensional XY spin glass in the Coulomb-gas representation

Cited by in corpus (9)

• Single spin- and chiral-glass transition in vector spin glasses in three-dimensions
• Chirality scenario of the spin-glass ordering
• Large-scale Monte Carlo simulations of the three-dimensional XY spin glass
• 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