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Title: Critical currents and vortex states at fractional matching fields in superconductors with periodic pinning

Journal Article · · Physical Review B
OSTI ID:776630

We study vortex states and dynamics in 2D superconductors with periodic pinning at fractional sub-matching fields using numerical simulations. For square pinning arrays we show that ordered vortex states form at 1/1, 1/2, and 1/4 filling fractions while only partially ordered states form at other filling fractions, such as 1/3 and 1/5, in agreement with recent imaging experiments. For triangular pinning arrays we observe matching effects at filling fractions of 1/1, 6/7, 2/3, 1/3, 1/4, 1/6, and 1/7. For both square and triangular pinning arrays we also find that, for certain sub-matching fillings, vortex configurations depend on pinning strength. For weak pinning, ordering in which a portion of the vortices are positioned between pinning sites can occur. Depinning of the vortices at the matching fields, where the vortices are ordered, is elastic while at the incommensurate fields the motion is plastic. At the incommensurate fields, as the applied driving force is increased, there can be a transition to elastic flow where the vortices move along the pinning sites in 1D channels and a reordering transition to a triangular or distorted triangular lattice. We also discuss the current-voltage curves and how they relate to the vortex ordering at commensurate and incommensurate fields.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
National Science Foundation (US)
DOE Contract Number:
AC03-76SF00098
OSTI ID:
776630
Report Number(s):
LBNL-46592; R&D Project: K11503; TRN: AH200118%%467
Journal Information:
Physical Review B, Vol. 63, Issue 5; Other Information: Journal Publication Date: Feb. 1, 2001; PBD: 1 Aug 2000
Country of Publication:
United States
Language:
English