One-electron quantum ring of non-uniform thickness in magnetic field

• Published in: Physica. E, Low-dimensional systems & nanostructures Low-dimensional systems & nanostructures, 2014-02, Vol.56, p.393-399
• Main Authors: Rodríguez-Prada, F., García, L.F., Mikhailov, I.D.
• Format: Article
• Language: English
• Subjects: Aharonov–Bohm oscillation; Applied sciences; Condensed matter: structure, mechanical and thermal properties; Crater like Quantum Ring; Cross-disciplinary physics: materials science; rheology; Electronics; Exact sciences and technology; Low-dimensional structures (superlattices, quantum well structures, multilayers): structure, and nonelectronic properties; Materials science; Molecular electronics, nanoelectronics; Nanocrystalline materials; Nanoring; Nanoscale materials and structures: fabrication and characterization; Non uniform thickness; Physics; Quantum dots; Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2013.10.016

We consider a model of a quantum ring in the form of a thin layer, whose thickness increases linearly between inner and outer radii. We show that in the structural adiabatic limit, when the quantum ring thickness is much smaller than its lateral dimension, the wave equation for the electron confined in such structure can be completely separated. We use analytical solutions found for this model as the base functions for analyzing the effect of the structural non-homogeneity on the electronic spectrum and the Aharonov–Bohm oscillations of the energy levels, in the framework of the exact diagonalization method we found that the pattern of the electron's possible pathways in its displacements generated by the external magnetic field, forms a quasi-one-dimensional region along a guideline marked by a set of highest points of the crater. Therefore, the Aharonov–Bohm oscillations of the energy levels in a crater-shaped quantum dot without non-uniformities are similar to those in 1D quantum ring independently on the crater width. We show that a slight non-uniformity produced by a single valley and single mountain supresses the oscillations of several lower levels due to the localization of the corresponding rotational states close to the mountain. Nevertheless, when the non-uniformity becomes substantial due to the presence of multiple valleys and mountains, the rotational electron motion and the Aharonov–Bohm oscillations generated by the external magnetic field are restored, owing to the electron tunneling through mountains. We consider that our model of crater-shaped structure would be applicable in the analysis of a variety of more complicated problems related to systems of few carriers confined in nanostructures with ring-like geometry, as a starting point in the framework of the diagonalization method. •Model of a one-electron crater-like quantum ring with non-uniform thickness.•Variations on the ring morphology change its optoelectronic and magnetic properties.•A small non-uniformity of the crater thickness might suppress the electron rotation.•The bigger the number of the valleys, the larger are tunnel currents.