Band-trap capture and emission in the generalized kinetic theory of electrons and holes

A new Shockley–Read–Hall hydrodynamical model for carriers and phonons

“…The usual assumption that the phonon field can be treated as a fixed background is dropped here, since 'any thermal gradient gives rise to transport of heat by the phonons, whilst an electric current, though carried by electrons, cannot fail to transfer some of its momentum to the lattice vibrations, and drag them along with it' [2]. Therefore, we can conclude that the present model can be seen as a generalization of previous ones [3][4][5], by means of the explicit treatment of phonons. This is the most qualifying improvement we introduce.…”

Auger effect in the generalized kinetic theory of electrons and holes

“…Phonons belong to the various branches g of the phonon spectrum, and their statistics is defined by the pair of functions ⌽ g and ⌿ g , functions of the distribution function f g . Their equilibrium distribution f g * ͑a star is meant to label equilibria throughout͒ is defined by 9 ln…”

“…The case of electrons and holes interacting with a phonon background has been treated in a generalized way and the band-trap capture and emission has been included in the model. 9 Another important generation/recombination mechanism, that cannot be neglected when both the electron and hole densities are not too small, is the Auger effect. 5 This is what is dealt with in this paper, which moves in the frame of the mathematical methods of kinetic theory, 10 and follows the lines of Ref.…”