Large-scale simulations on three-dimensional (3D) frustrated anisotropic XY model have been performed to study the nonequilibrium phase transitions of vortex matter in weak random pinning potential in layered superconductors. The first-order phase transition from the moving Bragg glass to the moving smectic is clarified, based on thermodynamic quantities. A washboard noise is observed in the moving Bragg glass in 3D simulations for the first time. It is found that the activation of the vortex loops play the dominant role in the dynamical melting at high drive. 74.60.Ge,74.50.+r,74.40.+k Dynamical properties of current driven vortex matter 1,2,3 interacting with random pinning potentials in type II superconductors have attracted considerable attention both experimentally 4,5,6,7,8 and theoretically. 9,10,11,12 A better understanding of various nonequilbrium phases and phase transitions is essential for explaining the nonlinear current-voltage (I-V) characteristics observed in experiments conducting on samples in an external magnetic field, 4,13 which is known as the first evidence of the first-order vortex lattice melting. In addition, this problem is closely related to an important class of phenomena in condensed matter physics, such as dynamics of sliding charge-density waves (CDW) in quasi-one-dimensional conductors, 14 Wigner crystals in a two-dimensional (2D) electron gas, 15 as well as driven interface in random media.
16Vortex matter shows the three regimes of creep, depinning, and flow in its transport characteristics, depending on the drive. In the flow regime, the periodicity in the direction transverse to motion leads to a novel phase: moving Bragg glass (BrG), based on an elastic transverse equation of motion proposed by Giamarchi and Le Doussal (GL).10 As the driven force is reduced, the effective pinning strength becomes larger. It has been argued that moving vortex matter may decay first into a moving smectic 10,11 and then into a moving liquid. It can be further driven into a creeping BrG below the depinning threshold. Recently, these moving phases have been observed both experimentally 5,6 and in numerical simulations. 19,20,21,22,23,24,25 A precise analytical description is very challenging, especially in the transition regime, because it is quite difficult to deal with the topological defects 18 in the plastic flow. Even within the elastic approach, an analytical study of driven vortex matter is hampered by dynamic nonlinearities such as Kardar-Parisi-Zhang term 17 that governs the vortex dynamics on large scale. The underlying mechanism of the dynamical melting still remains open question. In recent years, several three-dimensional (3D) numerical simulations have been performed.
23,24,25However, one common shortage is that the moving BrG holds out to arbitrary high drives, which is obviously contradictory to any real experiments.In the present Letter, we report new results of nonequilibrium simulations for vortex matter in anisotropic 3D systems with weak disorder. The dynamical melting ...