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Ground state of two-electron quantum dots in single-valley materials likeGaAs is always a spin singlet regardless of what the potential and interactionsare.  This statement cannot be generalized to the multi-valley materials like$n$-doped Si.  Here we calculate numerically the spectrum of a two-electron Si quantum dotand show that the dot with the lateral size of several nm can have the spintriplet ground state which is impossible in the single-valley materials.  Predicted singlet-triplet level crossing in two-electron Si quantum dots canpotentially establish the platform for quantum simulation of magnetic many bodysystems based on quantum dots.  We suggest several examples of such systems that open a way to controlledquantum simulations within the condensed matter setting.

Prediction of the spin triplet two-electron quantum dots in Si: towards controlled quantum simulations of magnetic systems