Magnetoexciton in nonuniform quantum ring with crater-shaped central hole

• Model of magnetoexciton in crater-like quantum ring (QR) with non-uniform thickness.
• Aharonov–Bohm oscillations and density of states of a magnetoexciton in crater-like QRs.
• Variations on the ring morphology change its optoelectronic and magnetic properties.
• A small non-uniformity of the crater thickness might suppress the rotational states of the exciton.
• The bigger the number of valleys, the larger the tunnel currents.

We study the spectral properties of magnetoexciton in a non-uniform crater-shaped quantum dot that is modeled by a thin layer, whose thickness increases linearly with different slopes in different radial directions between the central hole and the outer border. We show that in the adiabatic limit, when the crater thickness is much smaller than its lateral dimension, the one-particle wave functions of the electron and hole can be found exactly in an analytical form and they can be used subsequently as base functions in the framework of the diagonalization method to study the spectral properties of the magnetoexciton confined in a non-uniform quantum ring. It is found that some lower energy levels of the magnetic exciton show Aharonov–Bohm behavior in spite that the electrostatic attraction and the structural non-uniformity have the tendency to supress it. We attribute this result to the tunneling of the particles in their rotational movement along the crater rim induced by the external magnetic field, through the potential barriers generated by the electron–hole interaction and the additional confinement due to the presence of the structural non-uniformities.