Transport in Dirac Materials using the Boltzmann equation

Abstract

In this thesis, we have studied the transport properties of Dirac materials using Boltza mann transport theory under relaxation time approximation. We evaluated dielectric function and plasmon dispersion for two dimensional graphene which was found similar to that given by Kubo formalism. The role of contact potential, long-range Coulomb potential, acoustic phonons, midgap states have been investigated. We have determined relaxation time and corresponding conductivity due to the scattering phenonomenas men tioned above and observed their dependence on momentum k and temperature T. We have derived the longitudinal transport coefficients such as thermal conductivity and ther mopower. The temperature dependence of thermal conductivity was found to be linear while thermpower has quadratic temperature. We also observed that thermal conductivity and thermopower have different dependence on particle density