Effect of random pinning on nonlinear dynamics and dissipation of a vortex driven by a strong microwave current

Abstract

We report numerical simulations of a trapped elastic vortex driven by a strong ac magnetic field $H(t)=H\sin \omega t$ parallel to the surface of a superconducting film. The surface resistance and the power dissipated by an oscillating vortex perpendicular to the film surface were calculated as functions of $H$ and $\omega$ for different spatial distributions, densities, and strengths of pinning centers, including bulk pinning, surface pinning, and cluster pinning. Our simulations were performed for both the Bardeen-Stephen viscous vortex drag and the Larkin-Ovchinnikov (LO) drag coefficient $\eta (v)$ decreasing with the vortex velocity $v$. The local residual surface resistance $R_i(H)$ calculated for different statistical realizations of the pinning potential exhibits strong mesoscopic fluctuations caused by local depinning jumps of a vortex segment as $H$ increases, but the global surface resistance ${\bar{R}}_i(H)$ obtained by averaging $R_i(H)$ over different pin configurations increases smoothly with the field amplitude at small $H$ and levels off at higher fields. For strong pinning, the LO decrease of $\eta (v)$ with $v$ can result in a nonmonotonic field dependence of $R_i(H)$ which decreases with $H$ at higher fields, but cause a runaway instability of the vortex in a thick film for weak pinning. It is shown that overheating of a single moving vortex can produce the LO-like velocity dependence of $\eta (v)$, but can mask the decrease of the surface resistance with $H$ at a higher density of trapped vortices.

References in corpus (45)

• The Flux-Line Lattice in Superconductors
• Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures
• Imaging of super-fast dynamics and flow instabilities of superconducting vortices
• Unprecedented Quality Factors at Accelerating Gradients up to 45 MV/m in Niobium Superconducting Resonators via Low Temperature Nitrogen Infusion
• Rearrangement of the vortex lattice due to instabilities of vortex flow
• Ultra-fast vortex motion in dirty Nb-C superconductor with a close-to-perfect edge barrier
• Weak- to strong pinning crossover
• Dynamic vortex mass in clean Fermi superfluids and superconductors
• Probing dynamics and pinning of single vortices in superconductors at nanometer scales
• Dependence of the residual surface resistance of superconducting RF cavities on the cooling dynamics around $T_{\mathrm{c}}$
• Recombination limited energy relaxation in a BCS superconductor
• Critical Currents in Quasiperiodic Pinning Arrays: Chains and Penrose Lattices
• Dynamics of vortex penetration, jumpwise instabilities and nonlinear surface resistance of type-II superconductors in strong rf fields
• Effect of high temperature heat treatments on the quality factor of a large-grain superconducting radio-frequency niobium cavity
• Surface impedance and optimum surface resistance of a superconductor with imperfect surface
• Unstable flux flow due to heated electrons in YBaCuO films
• Enhancing the Critical Current of a Superconducting Film in a Wide Range of Magnetic Fields with a Conformal Array of Nanoscale Holes
• Effect of vortex hotspots on the radio-frequency surface resistance of superconductors
• Multilayer coating for higher accelerating fields in superconducting radio-frequency cavities: a review of theoretical aspects
• Reduction of Dissipative Nonlinear Conductivity of Superconductors by Static and Microwave Magnetic Fields
• Field-dependent nonlinear surface resistance and its optimization by surface nano-structuring in superconductors
• Temperature dependence of the superheating field for superconductors in the high-k London limit
• Effect of Impurities on the Superheating field of Type II superconductors
• Theory and simulations on strong pinning of vortex lines by nanoparticles
• Superfluid flow in disordered superconductors with Dynes pair-breaking scattering: depairing current, kinetic inductance, and superheating field
• Speed limit to the Abrikosov lattice in mesoscopic superconductors
• Quasiparticle scattering time in superconducting films: from dirty to clean limit
• Sensitivity of Niobium Superconducting Cavities to Trapped Magnetic Flux Dissipation
• Local flux-flow instability in superconducting films near Tc
• Enhanced Pinning For Vortices in Hyperuniform Substrates and Emergent Hyperuniform Vortex States
• Reply to "Comment on the 'Decrease of the surface resistance in superconducting niobium resonator cavities by the microwave field'"
• Vortex dynamics and losses due to pinning: Dissipation from trapped magnetic flux in resonant superconducting radio-frequency cavities
• Atomic scale analysis of Nb3Sn on Nb prepared by a vapor-diffusion process for superconducting radiofrequency cavity applications
• Suppression of dissipation in Nb thin films with triangular antidot arrays by random removal of pinning sites
• Flux expulsion in niobium superconducting radio-frequency cavities of different purity and essential contributions to the flux sensitivity
• Probing the pinning landscape in type-II superconductors via Campbell penetration depth
• Campbell Penetration Depth of a Superconductor in the Critical State
• Highly Effective Superconducting Vortex Pinning in Conformal Crystals
• The Role of Magnetic Flux Expulsion to Reach Q0>3x10^10 in SRF Cryomodules
• Campbell penetration in the critical state of type-II superconductors
• Nonlinear Dynamics and Dissipation of a Curvilinear Vortex Driven by a Strong Time-Dependent Meissner Current
• rf-studies of vortex dynamics in isotropic type-II superconductors
• Dynamic pair-breaking current, critical superfluid velocity and nonlinear electromagnetic response of nonequilibrium superconductors
• Vortex Dynamics and Dissipation Under High-amplitude Microwave Drive
• The role of rare events in the pinning problem

Cited by in corpus (7)

• Rising speed limits for fluxons via edge quality improvement in wide MoSi thin films
• Vortex jets generated by edge defects in current-carrying superconductor thin strips
• Tuning microwave losses in superconducting resonators
• Vortex counting and velocimetry for slitted superconducting thin strips
• Fast Dynamics of Vortices in Superconductors
• Microwave Microscope Studies of Trapped Vortex Dynamics in Superconductors
• Vortex rivers and multiple voltage transitions in superconducting MgB${}_2$ thin films