Eur. Phys. J. B 79, 473-477 (2011)
https://doi.org/10.1140/epjb/e2011-10967-6

Effects of geometrical symmetry on the vortex in mesoscopic superconductors

¹ Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, P.R. China
² Center of Theoretical Physics, Department of Physics, Capital Normal University, Beijing, 100048, P.R. China

Corresponding authors: ^a huxinghua@iphy.ac.cn - ^b xgqiu@aphy.iphy.ac.cn

Received: 10 December 2010
Published online: 1 February 2011

Abstract

We first systematically study the multivortex states in mesoscopic superconductors via self-consistent Bogoliubov-de Gennes equations. Our work focuses on how the geometrical symmetry affects the penetration and arrangement of vortices in mesoscopic superconductors and find that the key parameter determining the entrance of the vortex is the current density at the hot spots on the edge of sample. Through determining the spatial distribution of hot spots, the geometrical symmetry of the superconducting sample influences the nucleation and entrance of vortices. Our results propose one possible experimental approach to control and manipulate the quantum states of mesoscopic superconductors with their topological geometries, and they can be easily generalized to the confined superfluids and Bose-Einstein condensates.