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

• URL: http://arxiv.org/abs/2005.02170v1
• Date: Sun, 3 May 2020 00:10:41 GMT
• Title: Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
• Authors: Lu\'is Fernando C. Pereira, Fabiano M. Andrade, Cleverson Filgueiras, Edilberto O. Silva
• Abstract summary: 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. We write the Schr"odinger equation and use the thin-layer quantization procedure to calculate the wavefunctions and the energy spectrum.
• Score: 1.7637225649382287
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 Schr\"{o}dinger 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.

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