Abstract

The hot carrier effects and d.c. conductivity of a semi-metal (e.g. Bismuth) have been studied by using the semi-kinetic treatment and the effective temperature model. The isotropic part of carrier distribution function is taken to be Fermi-Dirac in each valley correspponding to different effective temperatures which are determined by solving the energy balance equation. The anisotropy of the electron and hole mass has been incorporated and the carriers relaxation time is assumed to be isotropic. The anisotropy of the conductivity is studied by orienting the d.c. electric field along the three crystallographic axes. It is concluded that the hot carrier (i.e. non-linear) effects can be observed in semi-metals also because of their comparatively low conductivity.

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