“Transverse” persistent currents in mesoscopic cylinders and rings

Abstract

Persistent current is a nondecaying current in a normal metal ring or cylinder induced by the vector potential applied parallel to the direction of the current (longitudinal, or Aharonov–Bohm persistent current). A magnetic field applied perpendicular to the wall of the hollow metallic cylinder also produces an azimuthal nondecaying current (a transverse persistent current) even in the absence of the Aharonov–Bohm flux. Magnetic moment of a single connected conductor (a 2d conducting stripe) is supported by a current (a Landau-persistent current) which is shown to oscillate in space.