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PHYSICAL REVIEW B 84, 104528 (2011) Theory and simulations on strong pinning of vortex lines by nanoparticles
 

Summary: PHYSICAL REVIEW B 84, 104528 (2011)
Theory and simulations on strong pinning of vortex lines by nanoparticles
A. E. Koshelev
Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
A. B. Kolton
CONICET, Centro At´omico Bariloche, 8400 San Carlos de Bariloche, Argentina
(Received 13 June 2011; published 30 September 2011)
The pinning of vortex lines by an array of nanoparticles embedded inside superconductors has become the
most efficient practical way to achieve high critical currents. In this scenario, pinning occurs via trapping of the
vortex-line segments, and the critical current is determined by the typical length of the trapped segments. To
verify analytical estimates and develop a quantitative description of strong pinning, we numerically simulated
isolated vortex lines driven through an array of nanoparticles. We found that the critical force grows roughly
as the square root of the pin density and that it is strongly suppressed by thermal noise. The configurations of
pinned lines are strongly anisotropic; displacements in the drive directions are much larger than those in the
transverse direction. Moreover, we found that the roughening index for the longitudinal displacements exceeds
1. This indicates that the local stresses in the critical region increase with the total line length and that the elastic
description breaks down in the thermodynamic limit. Thermal noise reduces the anisotropy of displacements in
the critical regions and straightens the lines.
DOI: 10.1103/PhysRevB.84.104528 PACS number(s): 74.25.Wx, 74.25.Sv, 74.20.De
I. INTRODUCTION

  

Source: Alexei, Koshelev - Materials Science Division, Argonne National Laboratory

 

Collections: Materials Science; Physics