Transverse phase-locking in fully frustrated Josephson junction arrays: a new type of fractional giant steps
arXiv:cond-mat/0304402 · doi:10.1103/PhysRevB.68.104521
Abstract
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 {\it perpendicular} to a dc current. We observe phase locking, steps in the current-voltage characteristics, with a dependence on external ac-drive amplitude and frequency qualitatively different from the Shapiro steps, observed when the ac and dc currents are applied in parallel. Further, the critical current increases with increasing transverse ac-drive amplitude, while it decreases for longitudinal ac-drive. The critical current and the phase-locked current step width, increase quadratically with (small) amplitudes of the ac-drive. For larger amplitudes of the transverse ac-signal, we find windows where the critical current is hysteretic, and windows where phase locking is suppressed due to dynamical instabilities. We characterize the dynamical states around the phase-locking interference condition in the curve with voltage noise, Lyapunov exponents and Poincaré sections. We find that zero temperature phase-locking behavior in large fully frustrated arrays is well described by an effective four plaquette model.
12 pages, 11 figures
References in corpus (25)
- Nonequilibrium Dynamic Phase Diagram for Vortex Lattices
- Dynamic Phases of Vortices in Superconductors with Periodic Pinning
- Moving glass phase of driven lattices
- Moving glass theory of driven lattices with disorder
- Nonequilibrium Steady States of Driven Periodic Media
- Hall noise and transverse freezing in driven vortex lattices
- Dynamical Phase Transition in a Driven Disordered Vortex Lattice
- Shapiro steps in a superconducting film with an antidot lattice
- Mode locking of vortex matter driven through mesoscopic channels
- Mode-locking in ac-driven vortex lattices with random pinning
- Dynamic transition in vortex flow in strongly disordered Josephson junction arrays and superconducting thin films
- First-Order Melting of a Moving Vortex Lattice: Effects of Disorder
- Melting and transverse depinning of driven vortex lattices in the periodic pinning of Josephson junction arrays
- Dynamic Melting and Decoupling of the Vortex Lattice in Layered Superconductors
- Transverse depinning and melting of a moving vortex lattice in driven periodic Josephson junction arrays
- Non-equilibrium coherent vortex states and subharmonic giant Shapiro steps in Josephson junction arrays
- Transverse depinning in strongly driven vortex lattices with disorder
- Driven vortices in 3D layered superconductors: Dynamical ordering along the c-axis
- Non-equilibrium transitions in fully frustrated Josephson junction arrays
- A Simple Model for Plastic Dynamics of a Disordered Flux Line Lattice
- Critical Transverse Forces in Weakly Pinned Driven Vortex Systems
- Phase-locking of driven vortex lattices with transverse ac-force and periodic pinning
- Mode-locking in driven vortex lattices with transverse ac-drive and random pinning
- Transverse Phase Locking for Vortex Motion in Square and Triangular Pinning Arrays
- Critical current from dynamical boundary instability for fully frustrated Josephson junction arrays
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- Chaotic dynamics of superconductor vortices in the plastic phase
- Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives
- Shapiro Steps and Nonlinear Skyrmion Hall Angles For dc and ac Driven Skyrmions on a Two Dimensional Periodic Substrate
- Skyrmion Dynamics and Transverse Mobility: Skyrmion Hall Angle Reversal on 2D Periodic Substrates with dc and Biharmonic ac Drives
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