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
