Abstract
A two-dimensional mesoscopic system of arbitrary shape placed in a perpendicular homogeneous magnetic field is investigated for arbitrary boundary conditions. The energy spectrum of quantum dots and the phase boundary of mesoscopic superconductors are obtained. The wave function for quantum dots and the complex order parameter for mesoscopic superconductors exhibit the simultaneous stabilization of vortices and antivortices at specific ranges of the magnetic field for noncircular symmetric samples. When the vorticity is changed, we found that antivortices can be introduced into the system in order to preserve the symmetry of the sample in the vortex pattern.
12 More- Received 13 January 2005
DOI:https://doi.org/10.1103/PhysRevB.71.245405
©2005 American Physical Society