Schrodinger equation in the space with cylindrical geometric defect and possible application to multi-wall nanotubes

TL;DR

This paper investigates how a cylindrical geometric space defect affects electron behavior in a model resembling double-wall nanotubes, providing qualitative insights into their electronic properties through a geometric approach.

Contribution

It introduces a geometric defect model to analyze electron behavior in nanotube-like structures, offering a qualitative perspective complementary to traditional simulation methods.

Findings

The geometric defect influences energy gap and charge distribution.

Effects are qualitatively similar to traditional simulation results.

The approach aids in understanding nanosystem electronic properties.

Abstract

The recently invented cylindrical geometric space defect is applied to the electron behaviour in the system which can be regarded as a simplified model of a double-wall nanotube. By solving the Schrodinger equation in the region of space with cylindrical geometric defect we explore the influence of such geometric defect on the energy gap and charge distribution. The effect is qualitatively similar to the one obtained earlier by means of traditional simulation methods. In general, the geometric approach can not compete with the known methods of theoretical study of the nanostructures, such as molecular dynamics. However it may be useful for better qualitative understanding of the electronic properties of the nanosystems.