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Dielectric Properties of Trans‐Polyacetylene. I. The Macroscopic Longitudinal Dielectric Function of a Peierls‐Fröhlich Semiconductor of Commensurability 2 within RPA
Author(s) -
Drechsler S. L.,
Bobeth M.
Publication year - 1985
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.2221310128
Subject(s) - condensed matter physics , commensurability (mathematics) , semiconductor , polyacetylene , dielectric , physics , plasmon , dielectric function , electron , quantum mechanics , doping , geometry , mathematics
The macroscopic longitudinal wave‐vector‐ and frequency‐dependent dielectric function (MLDF) of a Peierls‐Fröhlich semiconductor with one electron per site is calculated within the 3D‐approach of Lee and Kivelson based on the Su‐Schrieffer‐Heeger model. Local field and exchange effects as well as overlap terms in the calculation of the matrix elements of the charge density are neglected. Conditions for the occurrence of an interband plasmon are presented, which are fulfilled in trans‐(CH) x . Special attention is paid to the q ‐dependence of the MLDF and the influence of the interchain hopping.