Dynamic transition of vortices into phase slips and generation of vortex-antivortex pairs in thin film Josephson junctions under dc and ac currents

Abstract

We present theoretical and numerical investigations of vortices driven by strong dc and ac currents in long Josephson junctions described by a nonlinear integro-differential equation which takes into account nonlocal electrodynamics of films, vortex bremsstrahlung and Cherenkov radiation amplified by the attraction of vortices to the edges of the junction. The work focuses on the dynamics of vortices in Josephson junctions in thin films where the effects of Josephson nonlocality dominate but London screening is negligible. We obtained an exact solution for a vortex driven by an arbitrary time-dependent current in an overdamped junction where the vortex turns into a phase slip if the length of the junction is shorter than a critical length which depends on current. Our analytical and numerical results show that the dynamic behavior of vortices depends crucially on the ohmic damping parameter. In overdamped junctions vortices expand as they move faster and turn into phase slips as current increases. In underdamped junctions vortices entering from the edges produce Cherenkov radiation generating cascades of expanding vortex-antivortex pairs, which ultimately drive the entire junction into a resistive phase slip state. Simulations revealed a variety of complex dynamic states of vortices under dc and ac currents which can manifest themselves in hysteretic current-voltage characteristics with jumps and regions with negative differential resistance resulting from transitions from oscillating to ballistic propagation of vortices, their interaction with pinning centers and standing nonlinear waves in the junction.

arXiv comment19 pages

References in corpus (20)

• Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear, and quantum phenomena
• Remarkable effects of disorder on superconductivity of single atomic layers of lead on silicon
• Rearrangement of the vortex lattice due to instabilities of vortex flow
• The behavior of grain boundaries in the Fe-based superconductors
• Flux flow of Abrikosov-Josephson vortices along grain boundaries in high-temperature superconductors
• Dynamics of vortex penetration, jumpwise instabilities and nonlinear surface resistance of type-II superconductors in strong rf fields
• Imaging Josephson Vortices on the Surface Superconductor Si(111)-(root7xroot3)-In using a Scanning Tunneling Microscope
• Effect of vortex hotspots on the radio-frequency surface resistance of superconductors
• Detection of the phase shift from a single quantized superconducting vortex
• Superconducting Memristors
• Josephson vortex Cherenkov radiation
• Saddle point states in 2D superconducting film biased near the depairing current
• Nonlinear dynamics of vortices in easy flow channels along grain boundaries in superconductors
• Electromagnetic waves in a Josephson junction in a thin film
• Evidence for nonlocal electrodynamics in planar Josephson junctions
• Non-linear microwave impedance of short and long Josephson Junctions
• Bunching of fluxons by the Cherenkov radiation in Josephson multilayers
• Interaction of Josephson junction and distant vortex in narrow thin-film superconducting strips
• Fragmentation of Fast Josephson Vortices and Breakdown of Ordered States by Moving Topological Defects
• Nonlinear dynamics of Josephson vortices in a film screen under dc and ac magnetic fields

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