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We predict a spin pure dephasing channel in electron relaxation betweenstates with unequal Zeeman splittings, exemplified by a spin-preservingelectron tunneling between quantum dots in a magnetic field. The dephasing iscaused by a mismatch in electron $g$-factors in the dots leading todistinguishability of phonons emitted during tunneling with opposite spins.Combining multiband $\boldsymbol{k}{\cdot}\boldsymbol{p}$ modeling anddynamical simulations via a Master equation we show that this fundamentaleffect of spin measurement effected by the phonon bath may be widely controlledby the size and composition of the dots or on demand, via tuning of externalfields. By comparing the numerically simulated degree of dephasing with thepredictions of general theory based on distinguishability of environmentstates, we show that the proposed mechanism is the dominant phonon-related spindephasing channel and may limit spin coherence time in tunnel-coupledstructures at cryogenic temperatures.

Controllable electron spin dephasing due to phonon state distinguishability in a coupled quantum dot system