Electrodynamics of a Clean Vortex Lattice

TL;DR

This paper provides a microscopic analysis of the electrodynamic response of a vortex lattice in a clean s-wave superconductor, highlighting the collective response and effects of pinning on optical properties.

Contribution

It introduces a self-consistent microscopic calculation of electrodynamics in vortex lattices, revealing novel relationships between pinning configurations and conductivity.

Findings

Collective linear response in the clean vortex lattice.

Pinning significantly influences optical conductivity and penetration depth.

Non-local effects lead to unexpected relationships between pinning and electrodynamics.

Abstract

We report on a microscopic evaluation of electrodynamic response for the vortex lattice state of a model s-wave superconductor. Our calculation accounts self-consistently for both quasiparticle and order parameter response and establishes the collective nature of linear response in the clean limit. We discuss the effects of homogeneous and inhomogeneous pinning on the optical conductivity and the penetration depth, and comment on the relationship between macroscopic and local penetration depths. We find unexpected relationships between pinning arrangements and conductivity due to the strongly non-local response.