We recently predicted that the interatomic Coulombic electron capture (ICEC)
process, a long-range electron correlation driven capture process, is
achievable in gated double quantum dots (DQDs). In ICEC an incoming electron is
captured by one QD and the excess energy is used to remove an electron from the
neighboring QD. In this work we present systematic full three-dimensional
electron dynamics calculations in quasi-one dimensional model potentials that
allow for a detailed understanding of the connection between the DQD geometry
and the reaction probability for the ICEC process. We derive an effective
one-dimensional approach and show that its results compare very well with those
obtained using the full three-dimensional calculations. This approach
substantially reduces the computation times. The investigation of the
electronic structure for various DQD geometries for which the ICEC process can
take place clarify the origin of its remarkably high probability in the
presence of two-electron resonances
