Composite vortex model of the electrodynamics of high-$T_c$ superconductor

TL;DR

This paper introduces a composite vortex model for high-$T_c$ superconductors, combining massless vortex currents and massive vortex cores to better explain far infrared magneto-conductivity measurements.

Contribution

It presents a novel phenomenological vortex model that integrates existing theories to accurately describe experimental optical data in high-$T_c$ superconductors.

Findings

Model fits well with experimental data from 5 to 200 cm$^{-1}$

Provides insights into vortex dynamics in high-$T_c$ materials

Enhances understanding of magneto-conductivity behavior

Abstract

We propose a phenomenological model of vortex dynamics in which the vortex is taken as a composite object made of two components: the vortex current which is massless and driven by the Lorentz force, and the vortex core which is massive and driven by the Magnus force. By combining the characteristics of the Gittleman-Rosenblum model (Phys. Rev. Lett. {\bf 16}, 734 (1966)) and Hsu's theory of vortex dynamics (Physica {\bf C 213},305 (1993)), the model provides a good description of recent far infrared measurements of the magneto-conductivity tensor of superconducting YBa$_2$Cu$_3$O$_{7-\delta }$ films from 5 cm$^{-1}$ to 200 cm$^{-1}$.