Structures of vortices in a superconductor under a tilted magnetic field

Abstract We study three-dimensional structures of vortices in a type II superconductor under a magnetic field by solving the Ginzburg-Landau equations. First, we show under a perpendicular magnetic field, two vortices are almost parallel but bend toward the center of superconductor due to the Meissner current. Second, we show under a tilted magnetic field, two vortices enter the superconductor from edge to edge and they are parallel to the magnetic field.