Growth of a vortex polycrystal in type II superconductors
Paolo Moretti, M.-Carmen Miguel, Michael Zaiser, Stefano Zapperi

TL;DR
This paper investigates the formation and growth of vortex polycrystals in type II superconductors, analyzing elastic and pinning forces, and compares theoretical predictions with experimental data.
Contribution
It provides a detailed calculation of grain boundary elastic energy and depinning stress, and explores the influence of magnetic field and thermal noise on vortex grain growth.
Findings
Grain size decreases with increasing magnetic field strength.
Theoretical estimates align well with experimental data on NbMo.
Thermal noise affects the dynamics of vortex grain growth.
Abstract
We discuss the formation of a vortex polycrystal in type II superconductors from the competition between pinning and elastic forces. We compute the elastic energy of a deformed grain boundary, that is strongly non-local, and obtain the depinning stress for weak and strong pinning. Our estimates for the grain size dependence on the magnetic field strength are in good agreement with previous experiments on NbMo. Finally, we discuss the effect of thermal noise on grain growth.
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