Absence of Translational Ordering in Driven Vortex Lattices
Steven Spencer, Henrik Jeldoft Jensen

TL;DR
This study uses molecular dynamics simulations to investigate whether a driven vortex lattice maintains translational order, finding no such order at any drive level but observing long-range orientational order at high drives.
Contribution
It demonstrates that driven vortex lattices lack translational order across all drives, contrasting with prior assumptions, and reveals a high-drive phase with orientational order.
Findings
No topological or translational order at any drive
Presence of long-range orientational order at high drives
Simulation results align qualitatively with experimental I-V characteristics
Abstract
By using finite temperature molecular dynamics simulations, we consider the question of the existence of dynamical ordering as a two dimensional vortex lattice is driven through a random background potential. The shape of the current-voltage(I-V) characteristics are qualitatively the same as those seen in experiments on the conventional superconductors 2H-NbSe_{2} and Mo_{77}Ge_{23}. However, in contrast to previous simulations, we find that the lattice has no topological or translational order for any value of the driving but that it does exhibit a high driving phase where long range orientational order exists.
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