Aharonov–Bohm effect of a magnetic fluxon moving ballistically in a two-dimensional ring

Abstract

The explicit form of the Hamiltonian for a magnetic fluxon moving in external fields is derived, and it is shown that not only the magnetic field, but also the electric field gives rise to the vector potential in the absence of their fields. Consequently, it was found that the electric vector potential (EVP) generated by a semi-infinitely and uniaxially confined electric flux also causes the Aharonov–Bohm (AB) effect for a magnetic fluxon moving ballistically in a two-dimensional superconducting ring, leading to a periodic oscillation in the voltage, which varies periodically as a function of electric flux.