Graphene disk in a solenoid magnetic potential: Aharonov-Bohm effect without a two-slit-like setup

Abstract

The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (a two-slit-like) setup a conducting ring is pierced by magnetic flux and the quantum interference for an electron passing simultaneously the two ring arms is observed. Here we show, by analyzing the transport via evanescent waves, that the ballistic Corbino disk in graphene subjected to a solenoid magnetic potential may exhibit the conductance oscillations of the Aharonov-Bohm kind although the current flows through a single conducting element only.