Aharonov-Bohm oscillations in the vortex dynamics in superconducting hollow cylinders

Abstract

Using time-dependent Ginzburg-Landau theory we demonstrate that the Aharonov-Bohm (AB) effect, resulting from a Berry phase shift of the (macroscopic) wavefunction, is revealed through the dynamics of topological phase defects present in that same wavefunction. We study vortices and antivortices on the surface of a hollow superconducting cylinder, moving on circular orbits as they are subjected to the force from the current flowing parallel to the cylinder axis. Due to the AB effect the orbit deflections, caused by a magnetic field component along the cylinder axis, become periodic as a function of field, leading to strong and robust resistance oscillations.

References in corpus (6)

• Geometrical destruction of the global phase coherence in ultrathin superconducting cylinders
• Emergence of $h/e$-period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux
• Co-existence of the Meissner and vortex-state on a superconducting spherical shell
• Possible observation of phase separation near a quantum phase transition in doubly connected ultrathin superconducting cylinders of aluminum
• Vortices on a superconducting nanoshell: phase diagram and dynamics
• Phase slip phenomena in superconductors: from ordered to chaotic dynamics

Cited by in corpus (1)

• Vortex-induced negative magnetoresistance and peak effect in narrow superconducting films