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Title: Vector potential gauge for superconducting regular polygons
Authors: Chibotaru, Liviu ×
Ceulemans, Arnout
Teniers, Gerd
Bruyndoncx, V
Moshchalkov, Victor #
Issue Date: 6-Jun-2002
Publisher: Springer-Verlag Heidelberg
Series Title: The European physical journal. B: Condensed matter physics vol:27 issue:3 pages:341-346
Abstract: An approach to the Ginzburg-Landau problem of superconducting polygons is developed, based on the exact fulfillment of superconducting boundary conditions along the boundary of the sample. To this end an analytical gauge transformation for the vector potential A is found which gives A(n) = 0 for the normal component along the boundary line of an arbitrary regular polygon. The use of the new gauge reduces the Ginzburg-Landau problem of superconducting polygons in external magnetic fields to an eigenvalue problem in a basis set of functions obeying Neumann boundary conditions. The advantages of this approach, especially for low magnetic fields, are illustrated and novel vortex patterns are obtained which can be probed experimentally.
URI: 
ISSN: 1434-6028
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Quantum Chemistry and Physical Chemistry Section
Solid State Physics and Magnetism Section
× corresponding author
# (joint) last author

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