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We present a computational LCHO-CI approach allowing for the simulation ofexchange interactions in gated lateral quantum dot networks. The approach isbased on single-particle states calculated using a linear combination ofharmonic orbitals (LCHO) of each of the dots, and a configuration interaction(CI) approach to the interacting electron problem. The LCHO-CI method isapplied to a network of three quantum dots with one electron spin per dot, anda Heisenberg spin Hamiltonian is derived. The manipulation of spin states of athree-spin molecule by applying bias to one of the dots is demonstrated andrelated to the bias dependence of effective exchange interaction parameters.

LCHO-CI method for the voltage control of exchange interaction in gated lateral quantum dot networks