Nanotubes in polar media: polarons and excitons on a cylinder

Details Nanotubes in polar media: polarons and excitons on a cylinder Nanotubes in polar media: polarons and excitons on a cylinder

2006-10-26

arxiv.org/abs/cond-mat/0610722v1

Physics

Condensed Matter

Other Condensed Matter

Manuscript originally submitted on September 27, 2006

Scientific paper

Electrons and holes on semiconducting nanotubes immersed in sluggish polar media can undergo self-localization into polaronic states. We evaluate the binding energy $\bpol$ of adiabatic Fr\"{o}hlich-Pekar polarons confined to a cylindrical surface and compare it to the corresponding exciton binding energy $\bexc$. The ratio $\bpol/\bexc$ is found to be a non-monotonic function of the cylinder radius $R$ that can reach values of about 0.35, substantially larger than values of about 0.2 for 2$d$ or 3$d$ systems. We argue that these findings represent a more general crossover effect that could manifest itself in other semiconductor nanostructures in 3$d$ polar environments. As a result of the strong polaronic effect, the activation energy of exciton dissociation into polaron pairs is significantly reduced which may lead to enhanced charge separation.

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