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

@article{Marconi2000MeltingAT, title={Melting and transverse depinning of driven vortex lattices in the periodic pinning of Josephson junction arrays}, author={V. I. Marconi and D Dom{\'i}nguez}, journal={Physical Review B}, year={2000}, volume={63}, pages={174509} }

We study the nonequilibrium dynamical regimes of a moving vortex lattice in the periodic pinning of a Josephson junction array (JJA) for 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…

## 29 Citations

### Simple model for dynamical melting of moving vortex lattices interacting with periodic pinning

- Physics
- 2002

Melting of moving vortex lattices in clean superconducting films with periodic pinning is studied by a dynamical ``cage'' model, based on a mean-field treatment of Langevin equation for the whole…

### Dynamical phase transition in two-dimensional fully frustrated Josephson junction arrays with resistively shunted junction dynamics

- Physics
- 2003

Abstract.The dynamical phase transitions in two-dimensional fully frustrated Josephson junction arrays at zero temperature are investigated numerically with the resistively shunted junction model…

### Dynamical phase diagrams for moving vortices interacting with periodic pinning

- Physics
- 2002

The dynamical phase diagrams for vortices in clean films, driven by a uniform force and interacting with periodic pinning resulting from a columnar-defect lattice, are investigated by numerical…

### Guided vortex motion in superconductors with a square antidot array

- Physics
- 2003

We have measured the in-plane anisotropy of the vortex mobility in a thin Pb film with a square array of antidots. Τhe Lorentz force, acting on the vortices, was rotated by adding two perpendicular…

### Peak effect and dynamic melting transitions of driven vortex system in weakly disordered Josephson junction arrays

- Physics
- 2010

Using the resistively shunted junction model, we study the magnetic frustration induced dynamic melting transitions of a current-driven vortex system in two-dimensional weakly disordered Josephson…

### Transverse phase locking in fully frustrated Josephson junction arrays: A different type of fractional giant steps

- Physics
- 2003

We study, analytically and numerically, phase locking of driven vortex lattices in fully frustrated Josephson junction arrays at zero temperature. We consider the case when an ac current is applied…

### Continuous-time Monte Carlo and spatial ordering in driven lattice gases: Application to driven vortices in periodic superconducting networks

- Physics
- 2005

We consider the two-dimensional 2D classical lattice Coulomb gas as a model for magnetic field induced vortices in 2D superconducting networks. Two different dynamical rules are introduced to…

## References

SHOWING 1-10 OF 70 REFERENCES

### Transverse Depinning and Melting of a Moving Vortex Lattice in Driven Periodic Josephson Junction Arrays

- Physics
- 1999

We study the effect of thermal fluctuations in a vortex lattice driven in the periodic pinning of a Josephson junction array. The phase diagram current ( $I$) vs temperature ( $T$) is studied. Above…

### Dynamical phase transition in a fully frustrated Josephson array on a square lattice

- Physics
- 1999

We study dynamical phase transitions at temperature T=0 in a fully frustrated square Josephson junction array subject to a driving current density, which has nonzero components i{sub x}, i{sub y}…

### I-V characteristics in two-dimensional frustrated Josephson-junction arrays.

- PhysicsPhysical review. B, Condensed matter
- 1990

Langevin molecular-dynamics simulations of two-dimensional Josephson-junction arrays in a uniform external magnetic field are presented and a phase diagram of the different dynamical regimes is proposed.

### Spatiotemporal dynamics and plastic flow of vortices in superconductors with periodic arrays of pinning sites.

- PhysicsPhysical review. B, Condensed matter
- 1996

Simulation of flux-gradient-driven superconducting rigid vortices interacting with square and triangular arrays of columnar pinning sites in an increasing external magnetic field allows for quantitatively relate spatiotemporal microscopic information of the vortex lattice with typically measured macroscopic quantities.

### Nonequilibrium dynamic phases and plastic flow of driven vortex lattices in superconductors with periodic arrays of pinning sites

- Physics
- 1998

We present results from an extensive series of simulations and analytical work on driven vortex lattices interacting with periodic arrays of pinning sites. An extremely rich variety of dynamical…

### Vortex pinning in Josephson-junction arrays.

- PhysicsPhysical review. B, Condensed matter
- 1990

This work investigates the effect of pinning on vortex motion in this model system through comparisons of numerical simulations with measurements on 1000{times}1000 Nb-Cu-Nb proximity-effect Josephson-junction arrays and finds pinning barriers are found to be field independent for small deviations of the field.

### Moving glass theory of driven lattices with disorder

- Physics
- 1998

We study periodic structures, such as vortex lattices, moving in a random pinning potential under the action of an external driving force. As predicted in T. Giamarchi and P. Le Doussal, Phys. Rev.…

### Hall Noise and Transverse Freezing in Driven Vortex Lattices

- Physics
- 1999

We study driven vortex lattices in superconducting thin films. Above the critical force F{sub c} we find two dynamical phase transitions at F{sub p} and F{sub t} , which could be observed in…

### Static and dynamic interaction of superconducting vortices with a periodic pinning potential

- Physics
- 1978

A model is developed which describes the static and dynamic interaction of the vortex lattice with the pinning potential due to harmonic one-dimensional variations of the thickness of superconducting…

### Dynamics of Driven Vortices in the Presence of a Regular Array of Columnar Defects

- Physics
- 1999

The effects of pinning by a square lattice of columnar defects (CD) on the low-temperature dynamics of vortex lines driven by a uniform force,Fd, oriented in the (1,0) CD-lattice direction, are…