Pinning effects on hot-electron vortex flow instability in superconducting films

Abstract

The hot-electron vortex flow instability in superconducting films in magnetic field $B$ at substrate temperature $T_0\ll T_c$ is theoretically considered in the presence of pinning. The magnetic field dependence of the instability critical parameters (electric field $E^{\ast }$, current density $j^{\ast }$, resistivity ${\rho }^{\ast }$, power density $P^{\ast }$ and vortex velocity $v^{\ast }$) is derived for a cosine and a saw-tooth washboard pinning potential and compared with the results obtained earlier by M.\,Kunchur [Phys. Rev. Lett. \textbf{89} (2002) 137005] in the absence of pinning. It is shown that the $B$-behavior of $E^{\ast }$, $j^{\ast }$ and ${\rho }^{\ast }$ is monotonic in $B$, whereas the $B$-dependence of $v^{\ast }$ is quite different, namely $d{v}^{\ast }/dB$ may change its sign twice with decreasing $B$ as it was observed in some experiments. The simplest heat balance equation for electrons in low-$T_c$ superconducting films in the two-fluid approach is considered. It allows one to show that the instability critical temperature $T^{\ast }\approx 5T_c/6$ at $T_0<T^{\ast }/2$ with $T^{\ast }$ independent of $B$.

arXiv comment9 pages, 1 figure

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Cited by in corpus (4)

• Local flux-flow instability in superconducting films near Tc
• Pinning effects on self-heating and flux-flow instability in superconducting films near $T_c$
• Pinning effects on flux flow instability in epitaxial Nb thin films
• Fast Dynamics of Vortices in Superconductors