Time-dependent Ginzburg-Landau treatment of RF Magnetic Vortices in Superconductors: Vortex-Semiloops in a Spatially Nonuniform Magnetic Field

Abstract

We apply time-dependent Ginzburg Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to intense rf magnetic field. Much recent TDGL work has focused on spatially uniform external magnetic field and largely ignores the Meissner state screening response of the superconductor. In this work, we solve the TGDL equations for a spatially non-uniform magnetic field created by a point magnetic dipole in the vicinity of a semi-infinite superconductor. A novel two-domain simulation is performed to accurately capture the effect of the inhomogeneous applied fields and the resulting screening currents. The creation and dynamics of vortex semiloops penetrating deep into the superconductor domain is observed and studied, and the resulting third-harmonic nonlinear response of the sample is calculated. The effect of point-like defects on vortex semi-loop behaviour is also studied. This simulation method will assist our understanding of the limits of superconducting response to intense rf magnetic fields.

References in corpus (28)

• The World of the Complex Ginzburg-Landau Equation
• The Superconducting TESLA Cavities
• Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures
• The Nonlinear Meissner Effect in Unconventional Superconductors
• Dependence of the residual surface resistance of superconducting RF cavities on the cooling dynamics around $T_{\mathrm{c}}$
• Dynamics of vortex penetration, jumpwise instabilities and nonlinear surface resistance of type-II superconductors in strong rf fields
• Surface impedance and optimum surface resistance of a superconductor with imperfect surface
• Stable large-scale solver for Ginzburg-Landau equations for superconductors
• Superheating field of superconductors within Ginzburg-Landau theory
• Field-dependent nonlinear surface resistance and its optimization by surface nano-structuring in superconductors
• Tunneling study of cavity grade Nb: possible magnetic scattering at the surface
• Theoretical estimates of maximum fields in superconducting resonant radio frequency cavities: Stability theory, disorder, and laminates
• The surface barrier in mesoscopic type I and type II superconductors
• Effect of interstitial impurities on the field dependent microwave surface resistance of niobium
• Strong Meissner screening change in superconducting radio frequency cavities due to mild baking
• The Effect of Inhomogeneous Surface Disorder on the Superheating Field of Superconducting RF Cavities
• Microwave Nonlinearities of an Isolated Long YBa_2Cu_3O_(7-d) Bi-crystal Grain Boundary
• Phase-sensitive Harmonic Measurements of Microwave Nonlinearities in Cuprate Thin Films
• Second generation of vortex-antivortex states in mesoscopic superconductors: stabilization by artificial pinning
• Nonlinear Near-Field Microwave Microscope For RF Defect Localization in Superconductors
• Nanoscale Nonlinear Radio Frequency Properties of Bulk Nb : Origins of Extrinsic Nonlinear Effects
• High Frequency Nonlinear Response of Superconducting Cavity-Grade Nb surfaces
• Nanoscale Electrodynamic Response of Nb Superconductors
• Near-Field Microwave Magnetic Nanoscopy of Superconducting Radio Frequency Cavity Materials
• Giant ultrafast Kerr effect in type-II superconductors
• Modeling the nanoscale linear response of superconducting thin films measured by a scanning probe microwave microscope
• Anisotropic ac dissipation at the surface of mesoscopic superconductors
• Influence of material parameters on the performance of niobium based superconducting RF cavities

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• Structured light and induced vorticity in superconductors I: Linearly polarized light
• Microwave Microscope Studies of Trapped Vortex Dynamics in Superconductors
• Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors
• A Time-Dependent Ginzburg-Landau Framework for Sample-Specific Simulation of Superconductors for SRF Applications
• Size Dependence in Flux-Flow Hall Effect using Time-Dependent Ginzburg-Landau Equations
• Negative electrohydrostatic pressure between superconducting bodies
• Nucleation and Arrangement of Abrikosov Vortices in Hybrid Superconductor-Ferromagnetic Nanostructure
• Mesoscopic theory of the Josephson junction
• Microscopic Investigation of rf Vortex Nucleation in Nb3Sn Films Using a Near-Field Magnetic Microwave Microscope
• Bridging Superconductors with UN Development Goals: Perspectives and Applications
• Vortex Refraction at Tilted Superconductor-Normal Metal Interfaces