Transition of the ground state in a coupled N-layer quantum dot

摘要

An exact method is proposed to diagonalize the Hamil-tonian of an N-layer quantum dot containing N electrons in arbitrary magnetic fields. For N = 4, energy spectra of the dot are calculated as a function of the applied magnetic field. We find discontinuous ground-state energy transitions induced by an external magnetic field in the case of strong coupling. However, in the case of weak coupling, the transition does not occur and the angular momentum remains zero.