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On the Lifetime of Excited States in One‐Dimensional Disordered Systems
Author(s) -
Esser B.
Publication year - 1981
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.2221080123
Subject(s) - recombination , excited state , chain (unit) , markov chain , expression (computer science) , density of states , statistical physics , electron , markov process , physics , state (computer science) , atomic physics , condensed matter physics , chemistry , quantum mechanics , mathematics , computer science , biochemistry , statistics , algorithm , gene , programming language
A macroscopic system realizing an ensemble of chain‐like recombination paths involving localized electron states is considered. The recombination process of a carrier occurring in a given chain is formulated in terms of a Markov process with absorbing state. An expression for the mean lifetime of a carrier in a chain taking account of the energy scatter of the electron states is derived. Using this expression and a density of states model the temperature dependence of the lifetime may be calculated explicitly.