Kruchinin, S.Yu., Fedorov, A.V., Baranov, A.V., Perova, T.S., Berwick, K, Electron-electron scattering in a double quantum dot: Effective mass approach, Journal of Chemical Physics, 133, 10, 2010, 104704
Journal of Chemical Physics; 133; 10;
We present a theoretical description of the first-order scattering of interacting electrons and holes in
a double quantum dot. Assuming infinitely high walls, strong confinement, and a two-band
approximation, we derive general expressions for the two-particle matrix elements of the screened
Coulomb potential. We also determine the selection rules for different scattering channels and
consider special cases where the corresponding matrix elements can be represented by simple
analytical expressions. Numerical calculations of the matrix elements and an analysis of their
dependence on the geometrical and material parameters of the double quantum dot have also been
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