Melting and transverse depinning of driven vortex lattices in the periodic pinning of Josephson junction arrays

Abstract

We study the non-equilibrium dynamical regimes of a moving vortex lattice in the periodic pinning of a Josephson junction array (JJA) for {\it finite temperatures} in the case of a fractional or submatching field. We obtain a phase diagram for the current driven JJA as a function of the driving current I and temperature T. We find that when the vortex lattice is driven by a current, the depinning transition at $T_p(I)$ and the melting transition at $T_M(I)$ become separated even for a field for which they coincide in equilibrium. We also distinguish between the depinning of the vortex lattice in the direction of the current drive, and the {\it transverse depinning} in the direction perpendicular to the drive. The transverse depinning corresponds to the onset of transverse resistance in a moving vortex lattice at a given temperature $T_{tr}$. For driving currents above the critical current we find that the moving vortex lattice has first a transverse depinning transition at low T, and later a melting transition at a higher temperature, $T_M>T_{tr}$.

17 pages, 19 figures

References in corpus (5)

• Shapiro steps in a superconducting film with an antidot lattice
• Driven vortices in 3D layered superconductors: Dynamical ordering along the c-axis
• Orientational pinning and transverse voltage: Simulations and experiments in square Josephson junction arrays
• Dynamical Phases of Driven Vortices Interacting with Periodic Pinning
• Lattice effects on the current-voltage characteristics of superconducting arrays

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• Directional Locking Effects and Dynamics for Particles Driven Through a Colloidal Lattice
• Rocking ratchets in 2D Josephson networks: collective effects and current reversal
• Non-equilibrium transitions in fully frustrated Josephson junction arrays
• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• Dynamical Phase Diagrams for Moving Vortices Interacting with Periodic Pinning
• Critical currents at the Bragg glass to vortex glass transition
• A simple model for dynamical melting of moving vortex lattices interacting with periodic pinning
• Superconducting transition of a two-dimensional Josephson junction array in weak magnetic fields
• Transverse phase-locking in fully frustrated Josephson junction arrays: a new type of fractional giant steps
• Lattice Gas Dynamics; Application to Driven Vortices in Two Dimensional Superconductors
• Continuous Time Monte Carlo and Spatial Ordering in Driven Lattice Gases: Application to Driven Vortices in Periodic Superconducting Networks
• Influence of vortices and phase fluctuations on thermoelectric transport properties of superconductors in a magnetic field
• Voltage rectification in two dimensional Josephson junction arrays
• History-dependent dissipative vortex dynamics in superconducting arrays
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices