Heat capacity and magnetization of identical and non-identical semiconductor nanotubes

Abstract

In the present work, we investigated the thermodynamic properties of the lattice formed by non-interacting nanotubes using a single-walled nanotube model in a longitudinal magnetic field. Using the energy spectrum, we derived the exact analytic expression for the single-particle partition function and used it to determine the magnetic moment and specific heat. Magnetization has a “saw-tooth” form as a function of the magnetic field. For the lattice of nanotubes with two different radii, we found ordinary compensation points, points at which the magnetization vanishes at fixed values of the magnetic field strength.