Structure and Orientation of the Moving Vortex Lattice in Clean Type II Superconductors

TL;DR

This paper investigates how the structure and orientation of a moving vortex lattice in clean Type II superconductors depend on flux flow velocity, using the time-dependent Ginzburg-Landau equation, and compares theoretical predictions with recent experiments.

Contribution

It provides a systematic analysis of vortex lattice orientation changes with velocity and includes corrections from higher Landau levels, advancing understanding of vortex dynamics in clean superconductors.

Findings

Vortex lattice orientation depends on flux flow velocity.

A transition occurs at a critical velocity V_c between two lattice orientations.

Higher Landau level corrections are significant for accurate modeling.

Abstract

The dynamics of moving vortex lattice is considered in the framework of the time dependent Ginzburg - Landau equation neglecting effects of pinning. At high flux velocities the pinning dominated dynamics is expected to cross over into the interactions dominated dynamics for very clean materials recently studied experimentally. The stationary lattice structure and orientation depend on the flux flow velocity. The vortex lattice will have a different orientation for V>V_c. The two orientations can be desribed as motion "in channels" and motion of "lines of vortices perpendicular to the direction of motion. Although we start from the lowest Landau level approximation, corrections to conductivity and the vortex lattice energy dissipation from higher Landau levels are systematically calculated and compared to a recent experiment.