Electronic properties of a nanotorus

TL;DR

This paper investigates how the curvature and external fields affect the electronic properties of electrons confined to a nanotorus, analyzing bound states, spectra, and Landau levels in different torus configurations.

Contribution

It provides a comparative analysis of electron behavior on torus surfaces considering curvature effects and external fields, with configurations aligned to experimental data.

Findings

Surface curvature influences the electron spectrum and wave function behavior.

External electric and magnetic fields modify bound states and Landau levels.

Different torus geometries exhibit distinct electronic properties.

Abstract

In this paper we study the properties of an electron trapped on a torus surface. We consider the influence of surface curvature on the spectrum and the behaviour of the wave function. In addition, the effects of external electric and magnetic fields were explored. Two toroid configurations were considered, namely, a torus-like configuration and a ring-like configuration both in agreement with experimental data. We also obtain the bound states and discuss the role of geometry on the Landau levels.