Thermally assisted quantum vortex tunneling in the Hall and dissipative regime

TL;DR

This paper investigates quantum vortex tunneling considering both Hall and dissipative effects, analyzing relaxation rates at various temperatures and identifying a temperature-dependent minimum in relaxation behavior.

Contribution

It provides an analytical solution at zero temperature and a numerical approach at finite temperatures for vortex tunneling with combined Hall and dissipative dynamics.

Findings

Minimum relaxation rate at zero temperature in moderately clean samples

Relaxation rate decreases with increasing temperature, diminishing the zero-temperature minimum

Quantitative analysis of relaxation rates as functions of current and quasiparticle scattering time

Abstract

Quantum vortex tunneling is studied for the case where the Hall and the dissipative dynamics are simultaneously present. For a given temperature, the magnetization relaxation rate is calculated as a function of the external current and the quasiparticle scattering time. The relaxation rate is solved analytically at zero temperature and obtained numerically at finite temperatures by the variational method. In the moderately clean samples, we have found that a minimum in the relaxation rate exists at zero temperature, which tends to disappear with increase in the temperature.