On the exciton theory of amorphous solids

In this paper, we establish a general theory for excitons in disordered materials, presenting a short range order. Assuming that the system can be treated as homogeneous, we calculate the average total energy and by a variational technique we determine the equations satisfied by the one-electron wav...

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Bibliographic Details
Published in:Physica 1968-01, Vol.38 (1), p.155-172
Main Authors: Christiaens, W., Phariseau, P.
Format: Article
Language:English
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Summary:In this paper, we establish a general theory for excitons in disordered materials, presenting a short range order. Assuming that the system can be treated as homogeneous, we calculate the average total energy and by a variational technique we determine the equations satisfied by the one-electron wave functions. It is also shown that besides the two well-known limiting cases, i.e. the Frenkel- and Wannier exciton, we can also discuss the intermediate case, for which first order perturbation theory is applied In order to eliminate the positionvectors of the different constituent atoms, an appropriate configurational averaging procedure is used, such that the only information we need about the geometrical structure of the medium, is just the radial distribution function of the atoms in the material.
ISSN:0031-8914
DOI:10.1016/0031-8914(68)90067-0