Exactly solvable model of dissipative vortex tunneling

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 $\tau$ 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.

RevTeX, 6 pages, 2 figures. Published version

References in corpus (2)

• Spectral Flow, Magnus Force and Mutual Friction via the Geometric Optics Limit of Andreev Reflection
• Quantum vortex creep :Hall and dissipative tunneling

Cited by in corpus (2)

• Thermally assisted quantum vortex tunneling in the Hall and dissipative regime
• Localization on short-range potentials in dissipative quantum mechanics