Electronic structure and absorption spectrum of biexciton obtained by using exciton basis - Archive ouverte HAL
Article Dans Une Revue Annals of Physics Année : 2013

Electronic structure and absorption spectrum of biexciton obtained by using exciton basis

Shiue-Yuan Shiau
  • Fonction : Auteur
Yia-Chung Chang
  • Fonction : Auteur

Résumé

We approach the biexciton Schrodinger equation not through the free-carrier basis as usually done, but through the free-exciton basis, exciton-exciton interactions being treated according to the recently developed composite boson many-body formalism which allows an exact handling of carrier exchange between excitons, as induced by the Pauli exclusion principle. We numerically solve the resulting biexciton Schrodinger equation with the exciton levels restricted to the ground state and we derive the biexciton ground state as well as the bound and unbound excited states as a function of hole-to-electron mass ratio. The biexciton ground-state energy we find, agrees reasonably well with variational results. Next, we use the obtained biexciton wave functions to calculate optical absorption in the presence of a dilute exciton gas in quantum well. We find an asymmetric peak with a characteristic low-energy tail, identified with the biexciton ground state, and a set of Lorentzian-like peaks associated with biexciton unbound states, i.e., exciton-exciton scattering states. Last, we propose a pump-probe experiment to probe the momentum distribution of the exciton condensate. (C) 2013 Elsevier Inc. All rights reserved.

Dates et versions

hal-01229169 , version 1 (16-11-2015)

Identifiants

Citer

Shiue-Yuan Shiau, Monique Combescot, Yia-Chung Chang. Electronic structure and absorption spectrum of biexciton obtained by using exciton basis. Annals of Physics, 2013, 336, pp.309-330. ⟨10.1016/j.aop.2013.06.006⟩. ⟨hal-01229169⟩
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