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Article Dans Une Revue Physical Review B Année : 2019

Trion ground-state energy: Simple results

Résumé

We investigate the trion binding energy in a three-dimensional semiconductor, with bare Coulomb interaction between charges, and effective mass approximation for the electron and hole dispersion relations. This is done by making use of a previously proposed exact method for the three-body problem. The calculations cover the complete range of electron-to-hole mass ratio. We find a perfect agreement with existing variational calculations. Investigating the small and large mass ratio regimes, we build a three parameters interpolating formula for the trion binding energy E b (r) in terms of the exciton binding energy, where r is the electron to exciton mass ratio. This formula E b (r) = 0.71347 − 0.11527 r − 0.18580 √ 1 − r , in atomic units, is in full agreement, within our precision, with our numerical results over the complete range of mass ratio.
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hal-02495498 , version 1 (02-03-2020)

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Roland Combescot. Trion ground-state energy: Simple results. Physical Review B, 2019, 100 (24), pp.245201. ⟨10.1103/PhysRevB.100.245201⟩. ⟨hal-02495498⟩
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