Time-dependent Ginzburg-Landau theory with floating nucleation kernel; FIR conductivity in the Abrikosov vortex lattice

TL;DR

This paper develops a modified time-dependent Ginzburg-Landau theory incorporating a floating nucleation kernel to better model FIR conductivity in the Abrikosov vortex lattice, aligning more closely with experimental data.

Contribution

It introduces a new formulation of the TDGL theory with a floating nucleation kernel, improving the accuracy of FIR conductivity predictions in vortex lattices.

Findings

Enhanced agreement with experimental FIR conductivity data

Better modeling of vortex lattice dynamics

Validation of the floating nucleation kernel approach

Abstract

We formulate the time-dependent Ginzburg-Landau theory, with the assumption of local equilibrium made in the reference frame floating with normal electrons. This theory with floating nucleation kernel is applied to the far infrared (FIR) conductivity in the Abrikosov vortex lattice. It yields better agreement with recent experimental data [PRB {\bf 79}, 174525 (2009)] than the customary time-dependent Ginzburg-Landau theory.