A Quantum Ring in a Nanosphere
Quantum Physics
2020-01-08 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
In this paper we study the quantum dynamics of an electron/hole in a two-dimensional quantum ring within a spherical space. For this geometry, we consider a harmonic confining potential. Suggesting that the quantum ring is affected by the presence of an Aharonov-Bohm flux and an uniform magnetic field, we solve the Schr\"odinger equation for this problem and obtain exactly the eigenvalues of energy and corresponding eigenfunctions for this nanometric quantum system. Afterwards, we calculate the magnetization and persistent current are calculated, and discuss influence of curvature of space on these values.
Cite
@article{arxiv.1908.09956,
title = {A Quantum Ring in a Nanosphere},
author = {A. L. Silva Netto and B. Farias and J. Carvalho and C. Furtado},
journal= {arXiv preprint arXiv:1908.09956},
year = {2020}
}
Comments
16 pages, 3 figures, accepted for publication in IJGMMP