We study the spin-spin interaction between quantum dots coupled through a two dimensional electron gas with spin-orbit interaction. We show that the interplay between transverse electron focusing and spin-orbit coupling allows to dynamically change the symmetry of the effective spin-spin Hamiltonian. That is, the interaction can be changed from Ising-like to Heisenberg-like and vice versa. The sign and magnitude of the coupling constant can also be tuned.
@article{arxiv.cond-mat/0506414,
title = {Design and control of spin gates in two quantum dots arrays},
author = {Gonzalo Usaj and C. A. Balseiro},
journal= {arXiv preprint arXiv:cond-mat/0506414},
year = {2007}
}