Title: Method for the solution of the nucleation problem in arbitrary mesoscopic superconductors: Theory and application
Authors: Pereira, Paulo J ×
Moshchalkov, Victor
Chibotaru, Liviu #
Issue Date: Nov-2012
Publisher: Published by the American Physical Society through the American Institute of Physics
Series Title: Physical Review E, Statistical, Nonlinear and Soft Matter Physics vol:86 issue:5
Article number: ARTN 056709
Abstract: We present a method for finding the condensate distribution at the nucleation of superconductivity for arbitrary polygons. The method is based on conformal mapping of the analytical solution of the linearized Ginzburg-Landau problem for the disk and uses the superconducting gauge for the magnetic potential proposed earlier. As a demonstration of the method's accuracy, we calculate the distribution of the order parameter in regular polygons and compare the obtained solutions with available numerical results. As an example of an irregular polygon, we consider a deformed hexagon and prove that its calculation with the proposed method requires the same level of computational efforts as the regular ones. Finally, we extend the method over samples with arbitrary smooth boundaries. With this, we have made simulations for an experimental sample. They have shown perfect agreement with experimental data.
ISSN: 1539-3755
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Solid State Physics and Magnetism Section
Quantum Chemistry and Physical Chemistry Section
× corresponding author
# (joint) last author

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