Title 



Dependence of the vortex configuration on the geometry of mesoscopic flat samples
 
Author 



 
Abstract 



The influence of the geometry of a thin superconducting sample on the penetration of the magnetic field lines and the arrangement of vortices are investigated theoretically. We compare the vortex state of superconducting disks, squares, and triangles with the same surface area having nonzero thickness. The coupled nonlinear GinzburgLandau equations are solved selfconsistently and the important demagnetization effects are taken into account. We calculate and compare quantities such as the free energy, the magnetization, the Cooperpair density, the magnetic field distribution, and the superconducting current density for the three geometries. For given vorticity the vortex lattice is different for the three geometries, i.e., it tries to adapt to the geometry of the sample. This also influences the stability range of the different vortex states. For certain magnetic field ranges we found a coexistence of a giant vortex placed in the center and single vortices towards the corners of the sample. The HT phase diagram is obtained for the three investigated geometries and we found that the critical magnetic field is substantially enhanced for the triangle geometry.   
Language 



English
 
Source (journal) 



Physical Review B  
Publication 



2002
 
Volume/pages 



65:10(2002), p. 112
 
Article Reference 



104515
 
ISI 



000174548300111
 
Medium 



Eonly publicatie
 
Full text (Publishers DOI) 


  
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