Theory of the Transport Properties in Graphite

Abstract

The electrical conductivity, the magnetoresistance, the Hall coefficient and the thermoelectric power of single crystal graphite are theoretically calculated as functions of the temperature and magnetic field intensity in the region where lattice scattering is dominant. The values of the electron-phonon coupling constants which fit the theory to the experimental results best are: D 1 =16.2 eV and D 2 =3.73 eV. Here D 1 and D 2 denote the coupling constants related with the in-plane vibration (mode 1) and the out-of-plane vibration (mode 2) respectively. The field and temperature dependence of the magnetoresistance is in qualitative agreement with the measurements by Soule, while the calculated Hall coefficient has the opposite signs to the experimental results. These discrepancies may be closely related with the neglect of the trigonal symmetry of the bands (γ 3 ). The thermoelectric power calculated is positive and increases monotonously with increasing temperature, but there is no available data to be compared with the calculated value.