Effective scatterings between electrons, excitons and trions

• Published in: The European physical journal. B, Condensed matter physics Vol. 79; no. 4; pp. 401 - 421
• Main Authors: Combescot, M., Betbeder-Matibet, O.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.02.2011; EDP Sciences; Springer; SPRINGER
• Subjects: Complex Systems; Condensed Matter; Condensed Matter Physics; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Electron states; Electrons; Exact sciences and technology; Excitons and related phenomena; Fluid- and Aerodynamics; Optical properties; Physics; Physics and Astronomy; Semiconductors; Solid State Physics; Form Factor; Creation Potential; Coulomb Scattering; Creation Operator; Trion; Many body theory; Excitons; Semiconductor materials; Momentum transfer; Diagrammatic method; Free electron; Composite fermion model; Form factors; Coulomb interaction; Exciton-exciton interactions
• ISSN: 1434-6028; 1434-6036
• DOI: 10.1140/epjb/e2010-10804-6

. 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.