Impurity states of electrons on the surface of a nanotube in a magnetic field

TL;DR

This paper investigates how impurity-induced electron states on a nanotube surface are affected by magnetic fields, revealing oscillations in resonance positions analogous to Aharonov-Bohm and de Haas-van Alphen effects.

Contribution

It models impurity states on nanotubes under magnetic fields using a Gaussian potential and analyzes resonance behaviors and oscillations.

Findings

Resonance positions oscillate with magnetic flux.

Resonance widths are estimated.

Oscillations resemble Aharonov-Bohm and de Haas-van Alphen effects.

Abstract

The localization of electrons in the field of isolated nonmagnetic impurity atoms on the surface of a nanotube in a magnetic field is considered. A model of a Gaussian separable impurity potential capable of localizing an electron at any intensity is used. The positions of the local level are found in the regime of strong and weak localizations. The positions of the resonances are found, their widths are estimated. They experience Aharonov-Bohm oscillations when the magnetic flux in the tube changes. It is shown that the positions of the resonances experience oscillations similar to the de Haas-van Alphen oscillations, which are not associated with a magnetic field.