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.

arXiv comment7 pages, 12 figures. arXiv admin note: text overlap with arXiv:1905.05155

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Cited by in corpus (9)

• 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
• Study on the effects of anisotropic effective mass on electronic properties, magnetization and persistent current in semiconductor quantum ring with conical geometry
• 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