Magneto-transport properties of curved mesoscopic superconducting strips

Transport properties of curved mesoscopic superconducting strips are investigated in the framework of the time-dependent Ginzburg-Landau formalism. The geometries of the superconducting strips considered here are either a section of a cylindrical shell or a full cylindrical shell in which the magnetic field is applied perpendicular to the axis. The cylindrical section can exhibit considerably asymmetric transport properties, making it potentially interesting as a sub-micrometer scale superconducting current rectifier. The full cylindrical surface exhibits well developed dissipative branches in the voltage-current curves, that can be accounted for by kinematic vortex-antivortex phase slip lines. Such kinds of phase slip lines cause voltage oscillations in a frequency range higher than the one associated with the familiar flux flow regime.