Conductivity of superconductors in the flux flow regime

Abstract

We develop a theory of conductivity of type-II superconductors in the flux flow regime taking into account random spatial fluctuations of the system parameters, such as the gap magnitude $\Delta$(r) and the diffusion coefficient D(r). We find a contribution to the conductivity that is proportional to the inelastic relaxation time ${\tau }_{in}$, which is much longer than the elastic relaxation time. This new contribution is due to Debye-type relaxation, and it can be much larger than the conventional flux flow conductivity due to Bardeen and Stephen. The new contribution is expected to dominate in clean superconductors at low temperatures and in magnetic fields much smaller than $H_{c2}$.

6 pages of main text, 2 pages of supplementary material

References in corpus (1)

• Giant microwave absorption in s- and d- wave superconductors

Cited by in corpus (6)

• Giant magnetoconductivity in non-centrosymmetric superconductors
• Large Hall angle of vortex motion in high-$T_c$ cuprate superconductors revealed by microwave flux-flow Hall effect
• Microwave response of type-II superconductors at weak pinning
• Microwave flux-flow Hall effect in a multi-band superconductor FeSe
• Giant microwave absorption in the vortex lattice in $s$-wave superconductors
• Optical conductivity of a dirty current-carrying superconductor