Aharonov-Bohm Effect in Quantum Nanocups

Abstract

Abstract-The Aharonov-Bohm effect had been studied in semiconductor ring system and type II quantum dots, different authors had considered the asymmetric effect in the shape of the ring and the effect on Aharonov-Bohm oscillation due to impurities in the structure. In this report is considering the effect of a magnetic field applied on the electron energy inside in a quantum nanocup. The energy is calculated using a vibrational procedure in the effective mass framework. The results show the influence of the shape of a nanocup on the electron energy and smooth oscillation in the ground state energy as a function of the magnetic field.