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 (5)

• Strongly disordered TiN and NbTiN s-wave superconductors probed by microwave electrodynamics
• Quasiparticle relaxation in optically excited high-Q superconducting resonators
• Recombination limited energy relaxation in a BCS superconductor
• Effect of Impurities on the Superheating field of Type II superconductors
• Theory of microwave-assisted supercurrent in quantum point contacts

Cited by in corpus (20)

• Amplitude Higgs mode and admittance in superconductors with a moving condensate
• Surface impedance and optimum surface resistance of a superconductor with imperfect surface
• Reply to "Comment on the 'Decrease of the surface resistance in superconducting niobium resonator cavities by the microwave field'"
• 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
• Nonlinear Dynamics and Dissipation of a Curvilinear Vortex Driven by a Strong Time-Dependent Meissner Current
• Effect of random pinning on nonlinear dynamics and dissipation of a vortex driven by a strong microwave current
• 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
• Determination of the magnetic field dependence of the surface resistance of superconductors from cavity tests
• 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?
• 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
• Dissipation by surface states in superconducting RF cavities