Since the spin on the trap is a vector quantity, it produces unusual correlations in multi-terminal devices. Our analysis of a three-terminal device with normal metallic and ferromagnetic electrodes and trap-assisted hopping implies that the spin correlations result in current-voltage dependences characteristic to a single-electron transistor. Importantly, the transfer characteristics are determined by the spin correlations and the spin blockade alone as, because of the finite transition rate between the trap and the normal metallic electrodes, the current is not Coulomb blocked and it always flows through the trap-source, trap-drain, and trap-gate junctions. However, when both the gate and the source electrodes are ferromagnetic with high interface spin polarizations and anti-parallel, the current through all junctions is either suppressed or it flows only between source and drain depending on the voltages applied, in complete analogy to a single electron transistor.
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