Thermoelectric properties of tubular nanowires in the presence of a transverse magnetic field

Abstract

We calculate the charge and heat current associate with electrons, generated by a temperature gradient and chemical potential difference between two ends of a tubular nanowire of 30 nm radius in the presence of an external magnetic field perpendicular to its axis. We consider a nanowire based on a semiconductor material, and use the Landauer-Bttiker approach to calculate the transport quantities. We obtain the variation of the Seebeck coefficient ($S$), thermal conductivity kappa, and the figure of merit ($ZT$), with respect to the temperature up to 20\,K, and with the magnetic field up to 3 T. In particular we show that the Seebeck coefficient can change sign in this domain of parameters. In addition $\kappa$ and $ZT$ have oscillations when the magnetic field increases. These oscillations are determined by the energy spectrum of the electrons.