Reduction of Dissipative Nonlinear Conductivity of Superconductors by Static and Microwave Magnetic Fields

Abstract

A theory of dissipative nonlinear conductivity, ${\sigma }_1(\omega ,H)$, of s-wave superconductors under strong electromagnetic fields at low temperatures is proposed. Closed-form expressions for ${\sigma }_1(H)$ and the surface resistance $R_s(\omega ,H)$ are obtained in the nonequilibrium dirty limit for which ${\sigma }_1(H)$ has a significant minimum as a function of a low-frequency $(\hslash \omega \ll k_{B}T)$ magnetic field $H$. The calculated microwave suppression of $R_s(H)$ is in good agreement with recent experiments on alloyed Nb resonator cavities. It is shown that superimposed dc and ac fields, $H=H_0+H_a\cos \omega t$, can be used to reduce ac dissipation in thin film nanostructures by tuning ${\sigma }_1(H_0)$ with the dc field.

References in corpus (22)

• Quasiclassical Green's function approach to mesoscopic superconductivity
• Nitrogen and argon doping of niobium for superconducting radio frequency cavities: a pathway to highly efficient accelerating structures
• Reaching 10 ms single photon lifetimes for superconducting aluminum cavities
• The Nonlinear Meissner Effect in Unconventional Superconductors
• Density of states in a superconductor carrying a supercurrent
• Strongly disordered TiN and NbTiN s-wave superconductors probed by microwave electrodynamics
• Evidence of a nonequilibrium distribution of quasiparticles in the microwave response of a superconducting aluminium resonator
• Quasiparticle relaxation in optically excited high-Q superconducting resonators
• Recombination limited energy relaxation in a BCS superconductor
• Effect of high temperature heat treatments on the quality factor of a large-grain superconducting radio-frequency niobium cavity
• Nonlinear Current Response of a d-wave Superfluid
• Effect of Impurities on the Superheating field of Type II superconductors
• Frequency-dependent admittance of a short superconducting weak link
• Is the nonlinear Meissner effect unobservable?
• Gap Fluctuations in Inhomogeneous Superconductors
• Theory of microwave-assisted supercurrent in quantum point contacts
• Surface impedance of superconductors with weak magnetic impurities
• Nonlinear Dielectric Microwave Losses in MgO Substrates
• Measurement of the nonlinear Meissner effect in superconducting Nb films using a resonant microwave cavity: A probe of unconventional pairing symmetries
• Supercurrent and Andreev bound state dynamics in superconducting quantum point contacts under microwave irradiation
• Free Energy and Magnetic Penetration Depth of a $d$-Wave Superconductor in the Meissner State
• Surface impedance of superconductors with magnetic impurities

Cited by in corpus (35)

• Amplitude Higgs mode and admittance in superconductors with a moving condensate
• Surface impedance and optimum surface resistance of a superconductor with imperfect surface
• Field-dependent nonlinear surface resistance and its optimization by surface nano-structuring in superconductors
• Superfluid flow in disordered superconductors with Dynes pair-breaking scattering: depairing current, kinetic inductance, and superheating field
• Coherent excited states in superconductors due to a microwave field
• Reply to "Comment on the 'Decrease of the surface resistance in superconducting niobium resonator cavities by the microwave field'"
• Effect of interstitial impurities on the field dependent microwave surface resistance of niobium
• Effect of Low Temperature Baking in Nitrogen on the Performance of a Niobium Superconducting Radio Frequency Cavity
• Superheating fields of semi-infinite superconductors and layered superconductors in the diffusive limit: structural optimization based on the microscopic theory
• The Importance of the Electron Mean Free Path for Superconducting RF Cavities
• Effects of nonmagnetic impurities and subgap states on the kinetic inductance, complex conductivity, quality factor and depairing current density
• Tuning microwave losses in superconducting resonators
• Two different origins of the Q-slope problem in superconducting niobium film cavities for a heavy ion accelerator at CERN
• Dissipative conductivity of a dirty superconductor with Dynes subgap states under a dc bias current up to the depairing current density
• Nonlinear Dynamics and Dissipation of a Curvilinear Vortex Driven by a Strong Time-Dependent Meissner Current
• Nonlinear Transport in a Two Dimensional Holographic Superconductor
• Effect of random pinning on nonlinear dynamics and dissipation of a vortex driven by a strong microwave current
• Role of Thermal Resistance on the Performance of Superconducting Radio Frequency Cavities
• Significant Contributions of the Higgs Mode and Self-Energy Corrections to Low-Frequency Complex Conductivity in DC-Biased Superconducting Devices
• Fast Dynamics of Vortices in Superconductors
• Tuning critical field, critical current, and diode effect of narrow thin-film superconductors through engineering inhomogeneous Pearl length
• Dynamic pair-breaking current, critical superfluid velocity and nonlinear electromagnetic response of nonequilibrium superconductors
• Determination of the magnetic field dependence of the surface resistance of superconductors from cavity tests
• Microwave response of a superconductor beyond the Eliashberg theory
• Surface resistance and amplitude mode under uniform and static external field in conventional superconductors
• Sensitivity improvement in hidden photon detection using resonant cavities
• How High a Field Can Be and Has Been Achieved in Superconducting Bulk Niobium Cavities Across Different RRR Values?
• N-doped surfaces of superconducting niobium cavities as a disordered composite
• Higgs-mode-induced instability and kinetic inductance in strongly dc-biased dirty-limit superconductors
• Signatures of Enhanced Superconducting Properties in Niobium Cavities
• Nonequilibrium nonlinear response theory of amplitude-dependent dissipative conductivity in disordered superconductors
• Influence of material parameters on the performance of niobium based superconducting RF cavities
• Field-dependent surface resistance of a superconducting RF cavity caused by surface impurity
• Dissipation by surface states in superconducting RF cavities
• Microwave control of the superconducting proximity effect and minigap in magnetic and normal metals