Extended Josephson Relation and Abrikosov lattice deformation
Abstract
From the point of view of time-dependent Ginzburg Landau (TDGL) theory, a Josephson-like relation is derived for an Abrikosov vortex lattice accelerated and deformed by applied fields. Beginning with a review of the Josephson Relation derived from the two ingredients of a lattice-kinematics assumption in TDGL theory and gauge invariance, we extend the construction to accommodate a time-dependent applied magnetic field, a floating-kernel formulation of normal current, and finally lattice deformation due to the electric field and inertial effects of vortex-lattice motion. The resulting Josephson-like relation, which we call an Extended Josephson Relation, applies to a much wider set of experimental conditions than the original Josephson Relation, and is explicitly compatible with the considerations of TDGL theory.
Keywords
Cite
@article{arxiv.1112.4537,
title = {Extended Josephson Relation and Abrikosov lattice deformation},
author = {Peter Matlock},
journal= {arXiv preprint arXiv:1112.4537},
year = {2015}
}
Comments
4 pages, figureless, typos corrected