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Exactly solvable model of dissipative vortex tunneling

Akakii Melikidze
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Abstract

I consider the problem of vortex tunneling in a two-dimensional superconductor. The vortex dynamics is governed by the Magnus force and the Ohmic friction force. Under-barrier motion in the vicinity of the saddle point of the pinning potential leads to a model with quadratic Hamiltonian which can be analytically diagonalized. I find the dependence of the tunneling probability on the normal state quasiparticle relaxation time $τ$ with a minimum at $ω_0τ\sim 1$, where $ω_0$ is the level spacing of the quasiparticle bound states inside the vortex core. The results agree qualitatively with the available experimental data.

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Akakii Melikidze. 2001-08-28. Exactly solvable model of dissipative vortex tunneling. https://doi.org/10.1103/physrevb.64.024515

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