Abstract
A generalized expression for the steady-state electric-current density in materials with position-dependent band structure is derived by using the Boltzmann transport equation in the relaxation-time approximation. It is found that in addition to the contributions due to electric-field drift and charged-particle diffusion, the electric-current density contains terms which involve the gradients of the charged particle affinity, kinetic energy and relaxation time. It also involves the local nonequilibrium correlation function of the product of the relaxation time and velocity-velocity tensor. A discussion of the general expression applied to some special cases is given.
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