Numerical Study of the Aharonov-Bohm Effect in Mesoscopic Systems

Abstract

In order to study the Aharonov-Bohm(AB) effect observed in metal rings attached with leads, we adopt the tight-binding model and numerically calculate the conductance by making use of the Landauer formula and the transfer matrix method. It is confirmed that the magnitude of the conductance fluctuations is almost independent of the system size, consistent with the universal conductance fluctuations. We also find that, while the amplitude of the AB oscillation of the conductance is reduced when the ring length increases, it is enhanced when the lead length increases.