Modifications of electron states, magnetization and persistent current in a quantum dot by controlled curvature

Abstract

In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic field. Among the various physical implications due to the curvature of the system, we can mention the absence of the $m=0$ state is the most relevant one. The absence of it affects the Fermi energy and consequently the thermodynamic properties of the system. In the absence of magnetic fields, we verify that the rotational symmetry in the lateral confinement is preserved in the electronic states of the system and its degeneracy with respect to the harmonicity of the confining potential is broken. In the presence of a magnetic field, however, the energies of the electronic states in a quantum dot with a curvature are greater than those obtained for a quantum dot in a flat space, and the profile of degeneracy changes when the field is varied. We show that the curvature of the surface modifies the number of subbands occupied in the Fermi energy. In the study of both magnetization and persistent currents, we observe that Aharonov-Bohm-type (AB-type) oscillations are present, whereas de Haas-van Alphen-type (dHvA) oscillations are not well defined.

arXiv comment8 pages, 11 figures

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Cited by in corpus (10)

• Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
• Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
• Remarks on the Study of Electronic Properties and Photoionization Process in Rotating 2D Quantum Rings
• Thermodynamic properties of an electron gas in a two-dimensional quantum dot: an approach using density of states
• Study on the effects of anisotropic effective mass on electronic properties, magnetization and persistent current in semiconductor quantum ring with conical geometry
• Rotating effects on the photoionization cross-section of a 2D quantum ring
• On the oscillating properties of a two-electron quantum dot in the presence of a magnetic field
• Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova-Keldysh logarithmic approximation in semiconductors
• Effects of curvature on the electronic states of a two-dimensional mesoscopic ring
• Rotating effects on the Hall conductivity in a quantum dot