Fractional Flux Periodicity in Doped Carbon Nanotubes

TL;DR

This paper predicts an unusual fractional magnetic flux periodicity in doped carbon nanotubes, influenced by their lattice structure and aspect ratio, with potential implications for understanding quantum effects in nanostructures.

Contribution

It introduces the concept of fractional flux periodicity in doped carbon nanotubes and analyzes how lattice structure and doping affect this phenomenon.

Findings

Fractional flux periodicity depends on the aspect ratio and lattice structure.

Predicted in heavily doped armchair carbon nanotubes.

Ground state exhibits approximate fractional flux quantum periodicity.

Abstract

An anomalous magnetic flux periodicity of the ground state is predicted in two-dimensional cylindrical surface composed of square and honeycomb lattice. The ground state and persistent currents exhibit an approximate fractional period of the flux quantum for a specific Fermi energy. The period depends on the aspect ratio of the cylinder and on the lattice structure around the axis. We discuss possibility of this nontrivial periodicity in a heavily doped armchair carbon nanotube.