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Stark Effect of Wannier‐Mott Excitons Due to Disorder
Author(s) -
Majerníková E.
Publication year - 1974
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.2220630124
Subject(s) - exciton , gaussian , condensed matter physics , physics , field (mathematics) , random field , square root , random matrix , quantum mechanics , density of states , mathematics , statistics , geometry , eigenvalues and eigenvectors , pure mathematics
The averaged canonical density matrix of a large orbit exciton with a diameter ϱ in a Gaussian random potential field with the correlation length L and the mean square root of the random potential η, has been calculated using the Feynman path integral approach. It has been shown that in the case when the condition ϱ < L – D e is fulfilled the influence of the random field on the internal state of the exciton is equivalent to the Stark splitting of the excitonic levels due to an effective Gaussian random electrical field. The theory permits to interpret the experiments of Nikitine et al. on the excitonic absorption spectra of structurally perturbed Cu 2 O and to make conclusions about the parameters of the structure of disordered solids (correlation functions, correlation lengths). The respective density of states has been calculated with a strongly marked asymptotic tail behaviour.