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Title: Nucleation of superconductivity in regular polygons: superconducting vector potential gauge approach
Authors: Chibotaru, Liviu ×
Ceulemans, Arnout
Teniers, Gerd
Moshchalkov, Victor #
Issue Date: 15-Mar-2002
Publisher: North-Holland
Series Title: Physica. C, Superconductivity vol:369 issue:1-4 pages:149-157
Abstract: An approach to the Ginzburg-Landau problem for superconducting regular polygons is developed making use of an analytical gauge transformation for the vector potential A which gives A(n) = 0 for the normal component along the boundary line of an arbitrary regular polygon. As a result the corresponding linearised Ginzburg-Landau equation reduces to an eigenvalue problem in the basis set of functions obeying Neumann boundary condition. The proposed approach allows for accurate calculations of the order parameter distributions at low calculational cost (small basis sets) for moderate applied magnetic fields. This is illustrated by considering the nucleation of superconductivity in squares and equilateral triangles where novel vortex patterns containing and antivortex in the centre are obtained on the T-c-H phase boundary. The stability of these solutions against small deviations from the phase boundary line deeper into the superconducting state is investigated and the conditions for the experimental observation of the novel vortex patterns are discussed. (C) 2001 Elsevier Science B.V. All rights reserved.
ISSN: 0921-4534
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Occupational, Environmental and Insurance Medicine (-)
Quantum Chemistry and Physical Chemistry Section
Solid State Physics and Magnetism Section
× corresponding author
# (joint) last author

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