WIAS Preprint No. 1781, (2013)

Influence of the carrier reservoir dimensionality on electron-electron scattering in quantum dot materials


  • Wilms, Alexander
  • Mathé, Peter
    ORCID: 0000-0002-1208-1421
  • Schulze, Franz
  • Koprucki, Thomas
    ORCID: 0000-0001-6235-9412
  • Knorr, Andreas
  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347

2010 Mathematics Subject Classification

  • 81V65 65C05

2008 Physics and Astronomy Classification Scheme

  • 73.21.La 73.63.Kv.


  • quantum dots, Coulomb scattering, quasi-Monte Carlo




We calculated Coulomb scattering rates from quantum dots (QDs) coupled to a 2D carrier reservoir and QDs coupled to a 3D reservoir. For this purpose, we used a microscopic theory in the limit of Born-Markov approximation, in which the numerical evaluation of high dimensional integrals is done via a quasi-Monte Carlo method. Via a comparison of the so determined scattering rates, we investigated the question whether scattering from 2D is generally more efficient than scattering from 3D. In agreement with experimental findings, we did not observe a significant reduction of the scattering efficiency of a QD directly coupled to a 3D reservoir. In turn, we found that 3D scattering benefits from it?s additional degree of freedom in the momentum space.

Appeared in

  • Phys. Rev. B., 88 (2013) pp. 235421/1--235421/11.

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