Thermomagnetic effects in semiconductors

Abstract

AbstractThe thermomagnetic effects in semiconductors with an arbitrary spherical ϵ(k) dependence have been studied theoretically. Expressions are for: the' contribution of the free carriers to the heat conductivity; the isothermal Maggi‐Righi‐Leduc effect; the adiabatic Maggi‐Righi‐Leduc effect; the Righi‐Leduc effect; the Ettingshausen effect; the Thomson effect and the Peltier effect, in the two cases of weak and strong magnetic fields and for different scattering mechanisms. For the contribution of the free carriers to the heat conductivity and for the Thomson and Peltier effects the general case of many kinds of carriers has been studied. From the obtained formulas, on the simplifying assumption of the parabolic energy band structure, the formerly known expressions have been obtained, which describe the above mentioned effects for the non‐degenerate, degenerate and the strongly degenerate case. The influence of deviations from a parabolic band structure on these effects has been discussed for the degenerate case. It has been shown that these deviations should be taken into consideration.