Fundamental collapse of the exciton-exciton effective scattering

Details Fundamental collapse of the exciton-exciton effective scattering Fundamental collapse of the exciton-exciton effective scattering

2010-02-24

arxiv.org/abs/1002.4492v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised text version. Accepted for publication in Physical Review B

Scientific paper

The exciton-exciton effective scattering which rules the time evolution of two excitons is studied as a function of initial momentum difference, scattering angle and electron-to-hole mass ratio. We show that this effective scattering can collapse for energy-conserving configurations provided that the difference between the two initial exciton momenta is larger than a threshold value. Sizeable scatterings then exist in the forward direction only. We even find that, for an electron-to-hole mass ratio close to 1/2, the exciton-exciton effective scattering stays close to zero in all directions when the difference between the initial exciton momenta has a very specific value. This unexpected but quite remarkable collapse comes from tricky compensation between direct and exchange Coulomb processes which originates from the fundamental undistinguishability of the exciton fermionic components.

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