Effect of structural disorder on the urbach energy in Cu ternaries

S. M. Wasim, C. Rincón, G. Marín, P. Bocaranda, E. Hernández, Ismardo Bonalde, Ernesto Medina

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

91 Citas (Scopus)


From the analysis of the Urbach tail in CuInSe2 and CuInTe2, it is found that the energy hνp involved in the electron-exciton-phonon interaction is not that of the ordered compound longitudinal or transverse optical modes. It is established that this energy depends on the structural and cations disorders. An expression of the form EU(T,P,N) = KΘ/σ0((1+P)/2+ N[exp(Θ/T)-1]-1), where P and N are adjustable structural and order disorder parameters and Θ the Einstein characteristic temperature, accurately explains the temperature dependence of the Urbach energy. From extrapolation of the linear variation of N and P with hνp, the phonon energy for a completely ordered and disordered systems can be estimated. We discuss the physical meaning of the parameter N as due to the contribution of localized modes produced by substitutional disorder of low energy of formation. We find an intriguing relation between the temperature of the chalcopyrite-sphalerite transition and the phonons contributing to the formation of Urbach tails in the strong-disorder limit.

Idioma originalInglés
Número de artículo195101
Páginas (desde-hasta)1951011-1951018
Número de páginas8
PublicaciónPhysical Review B - Condensed Matter and Materials Physics
EstadoPublicada - 15 nov. 2001
Publicado de forma externa


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