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The Adiabatic Approximation in Transient Donor Recombination
Author(s) -
Pickin W.
Publication year - 1980
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220970206
Subject(s) - adiabatic process , transient (computer programming) , steady state (chemistry) , excited state , ionization , recombination , adiabatic theorem , rate equation , physics , atomic physics , field (mathematics) , thermodynamics , chemistry , mathematics , quantum mechanics , kinetics , ion , biochemistry , computer science , gene , operating system , pure mathematics
Results obtained for the steady‐state case in a previous paper are extended to the transient case for non‐equilibrium phenomena, such as photoconductivity and impact ionization, involving donors with excited states. The solution of the transient rate equations is in general so complicated as only to be feasible in small signal theory. However, it is shown that if N A is much less than a critical value Ñ A ( N A being the acceptor concentration of the sample), then one may apply the adiabatic approximation, and the solution reduces to a trivial extension of the steady‐state result. Numerical results for Ñ A are given for various values of temperature, applied field, and electron concentration.