Exactly solvable model of dissipative vortex tunneling

Details Exactly solvable model of dissipative vortex tunneling Exactly solvable model of dissipative vortex tunneling

2000-11-28

arxiv.org/abs/cond-mat/0011476v3

Phys. Rev. B 64, 024515 (2001)

Physics

Condensed Matter

Superconductivity

RevTeX, 6 pages, 2 figures. Published version

Scientific paper

10.1103/PhysRevB.64.024515

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 $\tau$ with a minimum at $\omega_0\tau\sim 1$, where $\omega_0$ 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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