Persistent currents in carbon nanotubes

Abstract

Carbon nanotubes are one of the most important findings of physics in the recent years. They are of great interest because of their various electrical, and mechanical features. All the properties of the nanotubes are being investigated thoroughly. In my thesis, two dimensional helical potential is introduced. The problem takes the type of Kronig-Penney model when Hamiltonian is separated into two parts. I will investigate the persistent currents in helical nanotubes. Persistent currents are due to the external vector potential. Vector potential was first introduced as a mathematical tool, later Aharonov and Bohm showed that vector potential has effect on charged particles even there is no magnetic field (i.e. field is confined into a solenoid).