Inertial Mass and Viscosity of Tilted Vortex Lines in Layered Superconductors

TL;DR

This paper investigates the dynamics of tilted vortex lines in layered superconductors, revealing how vortex mobility, viscosity, and inertial mass depend on magnetic field orientation and frequency, with implications for layered superconductor behavior.

Contribution

It provides a detailed analysis of vortex mobility, viscosity, and inertial mass tensors in layered superconductors, highlighting their dependence on magnetic field orientation and frequency within the Ginzburg-Landau framework.

Findings

Viscosity and inertial mass tensors increase near the layers.

Vortex mobility's inverse depends logarithmically on frequency in multilayers.

Angular dependence of vortex dynamics is significant for layered superconductors.

Abstract

The dynamics of tilted vortex lines in Josephson-coupled layered superconductors is considered within the time-dependent Ginzburg-Landau theory. The frequency and angular dependences of the complex-valued vortex mobility $\mu$ are studied. The components of the viscosity and inertial mass tensors are found to increase essentially for magnetic field orientations close to the layers. For superconducting/normal metal multilayers the frequency ($\omega$) range is shown to exist where the $\mu^{-1}$ value depends logarithmically on $\omega$.