A New Approach to Auger Recombination. Application to Lead Chalcogenides

Abstract

A New Approach to Auger Reconibination Application to Lead Chalcogenides 0. ZIEP and M. MOCKER BY The Auger transition rate derived b y means of Green's functions is formulated in terms of exchange of energy and wave vector of the corresponding transitions. Hereby the transition probabilities are modified b y dynamical corrections. This treatment allows t o calculate the Auger coefficient in lead chalcogenides with sufficient accuracy. As a consequence Auger recombination in PbSe has t o be considered.Die Ubergangsrate fur Augerrekombination wird mit Hilfe Greenscher Funktionen hergeleitet und in AbhBngigkeit von Energie-und Impulsaustausch der einzelnen Rekombinationsakte angegeben. Dabei modifizieren dynamische Korrekturen die Wahrscheinlichkeit der Ubergange. In dieser Formulierung der Augerrekombination wird der Augerkoeffizient fur die Bleisalze mit hinreichender Genauigkeit berechnet. Augerrekombination in PbSe ist danach nicht vernachlissigbar.

Estimation of second‐order Auger recombination in lead chalcogenides

“…Formula (1) enables us t,o describe recombination a t any level of excitation if a n adequate approxiniation for the correlational parts of t,he self-energy 2 2 is found. Expanding 2 linear with respect t o the time-dependent screened Coulomb potential VsRPA in the random-phase approximation we are able to reproduce Auger recombination as well as one-plasmon emission [6]. I n order to describe assisted Auger processes in the present paper the corresponding two diagrams in second order with respect to VsRPa sketched in Fig.…”

Intrinsic recombination in dependence on doping concentration and excitation level application to lead chalcogenides

“…x ln [: (8) where B-type processes (a + B) with perpendicular mean axes of the valleys are regarded.…”

New arguments to the problem of screening in auger recombination in semiconductors

“…Assuming that thernialization processes in the conduction (v = c) and valence bands (v = v) dominate as compared to recombination, the introduction of quasi-Fermi levels E, and F , is justified [13]. In order to describe the evolution of our system we follow the treatment of Kadanoff and Baym 1201 and generalize imaginary time Green's functions of Bloch states vk with respect to real times.…”

“…To our knowledge in [13] and in [2, 31 first descriptions of Auger processes within the framework of Green's functions are represented. Accordingly, in [2] the damping rate of carrier states with wave vector k and energy hw z-l(lc, GO) given by…”

“…On the other hand, 2: and 2$ are corresponding "into" and "out" terms of the collision integral. The net recombination rate defined as 00 00 with the crystal volume Q, can be conveniently forniulated in terms of the qand w-dependent complex dielectric function&(q, w )if one aims at obtaining the squared modules of the Coulomb term and the exchange term of the Anger process[13]. This supposes only the lowest approximation of the correlation parts 2'2, namely the linear V,-approximation [19] and interaction potentials taken in the random phase approximation, leading to m -cc…”