Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature

Abstract

We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized region is characterized by an annular radial potential. We write the Schrödinger equation and use the thin-layer quantization procedure to calculate the wavefunctions and the energy spectrum. In such a procedure, it arises a geometry induced potential, which depends on both the mean and the Gaussian curvatures. Nevertheless, since we consider a ring with a mesoscopic size, the effects of the Gaussian curvature on the energy spectrum are negligible. The magnetization and the persistent current are analyzed. In the former, we observed the Aharonov-Bohm (AB) and de Haas-van Alphen (dHvA) types oscillations. In the latter, it is observed only the AB type oscillations. In both cases, the curvature increases the amplitude of the oscillations.

7 pages, 12 figures. arXiv admin note: text overlap with arXiv:1905.05155

References in corpus (6)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• On the quantum dynamics of a point particle in conical space
• Nonrelativistic quantum dynamics on a cone with and without a constraining potential
• Aharonov-Bohm-like effect for light propagating in nematics with disclinations
• Beating of Aharonov-Bohm oscillations in a closed-loop interferometer

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• Thermodynamic properties of an electron gas in a two-dimensional quantum dot: an approach using density of states
• Rotating effects on the photoionization cross-section of a 2D quantum ring
• Theoretical model for the description of a single quantum dot using geometry
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova-Keldysh logarithmic approximation in semiconductors
• Rotating effects on the Hall conductivity in a quantum dot