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

2020/05/03 by Luís Fernando C. Pereira, Fabiano M. Andrade, Cleverson Filgueiras +1 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1016/j.physe.2021.114760

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

arxiv created 2020/05/03 · arxiv updated 2021/05/05

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.

Citations

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

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