Characteristic Behavior of Toroidal Carbon Nanotubes: Kinematics of Persistent Currents

TL;DR

This paper theoretically investigates how the lattice structure and twisting of toroidal carbon nanotubes influence electron behavior and persistent currents, revealing unique current characteristics related to the nanotube's geometry.

Contribution

It introduces a theoretical analysis of electron kinematics and persistent currents in twisted toroidal carbon nanotubes, highlighting effects of lattice structure and twist.

Findings

Persistent currents can have a period of half the flux quantum.

Currents may flow without an external magnetic field.

Twist affects the periodicity of the currents.

Abstract

The electrical properties of a carbon nanotube depend strongly on its lattice structure as defined by chiral and translational vectors. A toroidal shape for a nanotube allows various twisted structures to exist along the direction of the tube axis. We theoretically investigate the kinematics of conducting electrons and persistent currents in toroidal carbon nanotubes. We show that persistent currents exhibit a special characteristic of the cylindrical lattice structure in twisted cases. We discuss the possibilities that the twist alters the period of the current to one half the flux quantum and that the current flows without an external magnetic field.