Nernst Coefficient Within Relaxation Time Approximation

Analytical solutions based on the Boltzmann transport equation within the relaxation time approximation are developed to relate the Nernst coefficient to materials band structure and relaxation times parameters in simple conductors. The dependence of the Nernst coefficient on the effective mass, anisotropy of bands, energy bandgap, and scattering parameters are investigated. The obtained relations are compared to the existing solutions presented in the past using different approximations.