Kinematics of Persistent Currents in Nanotubes and Tori -Time-reversal symmetric gauge field and its application-

TL;DR

This paper reviews the theoretical properties of conducting electrons in carbon nanotubes, focusing on persistent currents in toroidal structures and local energy gaps in deformed nanotubes, highlighting their fundamental physics.

Contribution

It introduces a time-reversal symmetric gauge field framework to analyze persistent currents and local energy gaps in nanotubes, offering new theoretical insights.

Findings

Persistent currents are influenced by gauge fields in nanotubes.

Deformations affect local energy gaps in nanotubes.

Theoretical models explain electron behavior in toroidal nanotubes.

Abstract

The basic properties of conducting electrons in carbon nanotubes are reviewed from a theoretical perspective, and studies performed on persistent currents in toroidal carbon nanotubes and on the local energy gap in deformed nanotubes are reported on.