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The effect of dielectric mismatch on excitons and trions in cylindrical semiconductor nanowires

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Abstract

We investigated the energy levels of excitons (X) and trions (X ±) in free-standing nanowires with strong lateral carrier confinement. Within the adiabatic approximation the two (resp. three) particle problem reduces to an effective one (resp. two) dimensional Schrödinger equation for the relative motion which is solved numerically. Dielectric mismatch effects are taken into account that result in a distorted Coulomb interaction between the charged particles. We obtain the X and X ± binding energies as function of the dielectric mismatch ratio. To obtain these energies, we constructed tractable analytical expressions for the effective potential in the wire which significantly reduces the amount of computational time.

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Authors and Affiliations

  1. Universiteit Antwerpen, Groenenborgerlaan 171, 2020, Antwerpen, Belgium

    A. Slachmuylders, B. Partoens, W. Magnus & F. M. Peeters

  2. IMEC, Kapeldreef 75, 3001, Leuven, Belgium

    W. Magnus

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  1. A. Slachmuylders
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  2. B. Partoens
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  3. W. Magnus
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  4. F. M. Peeters
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Correspondence to W. Magnus.

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Slachmuylders, A., Partoens, B., Magnus, W. et al. The effect of dielectric mismatch on excitons and trions in cylindrical semiconductor nanowires. J Comput Electron 7, 376–379 (2008). https://doi.org/10.1007/s10825-008-0216-4

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  • DOI: https://doi.org/10.1007/s10825-008-0216-4

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