Pinning effects on self-heating and flux-flow instability in superconducting films near $T_c$

Abstract

The effect of pinning on self-heating triggering the Larkin-Ovchinnikov (LO) flux-flow instability (FFI) in superconducting thin films is theoretically investigated. The problem is considered relying upon the Bezuglyj-Shklovskij (BS) generalization of the LO theory, accounting for a finite heat removal from the quasiparticles at temperature $T^{\ast }$ to the bath at temperature $T_0$. The FFI critical parameters, namely the current density $j^{\ast }$, the electric field $E^{\ast }$, the power density $P^{\ast }$, and the vortex velocity $v^{\ast }$ are calculated and graphically analyzed as functions of the magnetic field and the pinning strength. With increasing pinning strength at a fixed magnetic field value $E^{\ast }$ \emph{decreases}, $j^{\ast }$ \emph{increases}, while $P^{\ast }$ and $T^{\ast }$ \emph{remain practically constant}. Vortex pinning may hence be the cause for eventual discrepancies between experiments on superconductors with \emph{strong pinning} and the generalized LO and BS results.

arXiv comment10 pages, 4 figures. Accepted for publication in Phys. Rev. B

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• Rising speed limits for fluxons via edge quality improvement in wide MoSi thin films
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• Vortex counting and velocimetry for slitted superconducting thin strips
• Fast Dynamics of Vortices in Superconductors