Fig. 1: Spatial dependence of the variational 2P wave function amplitude in the effective mass approximation.
From: Optimisation of electron spin qubits in electrically driven multi-donor quantum dots

The length scale is the lattice constant of Si (aSi), with Bloch function u(r) = 1. a The principal maxima are at the two donors' positions: (−1, 0) and (1, 0) in the x–y plane, with secondary maximum due to short-range traveling waves at (− 1, − 2), (1, 2) and so on. The overall diminishing amplitude away from the donors is determined by the envelope function. Here the 2P multi-donor quantum dot is oriented along [100]. b Two donors' positions: (− 1, − 1) and (1, 1) in the x-y plane, with secondary maximum at (−1, 1),(1, −1) and so on. The 2P multi-donor quantum dot is oriented along [110]. c In-plane amplitude variation of 2P ∥ [111] with two donors' positions: (− 1, − 1, − 1) and (1, 1, 1). à Only diminished secondary maximum in x–y plane are captured.