Eur. Phys. J. B 79, 401-421 (2011)
https://doi.org/10.1140/epjb/e2010-10804-6

Effective scatterings between electrons, excitons and trions

Institut des NanoSciences de Paris, Université Pierre et Marie Curie, CNRS, 4 place Jussieu, 75252 Paris Cedex 05, France

Corresponding author: ^a monique.combescot@insp.jussieu.fr

Received: 20 October 2010
Published online: 1 February 2011

Abstract

The final goal of this paper is to derive the effective scattering ruling the time evolution of two semiconductor trions using the many-body formalism for composite fermions we have just proposed. However, to understand the importance of the particle composite nature, their bosonic/fermionic character and their overall charge, we also report on scatterings between free electrons, excitons and trions. This leads us to identify the form factors associated to direct processes involving excitons and trions. For transitions between ground states, these form factors reduce to zero and one respectively, in the small momentum transfer limit.