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The Dzyaloshinskii-Moriya interaction is shown to result in a canting ofspins in a single molecule transistor. We predict non-linear transportsignatures of this effect induced by spin-orbit coupling for the generic caseof a molecular dimer. The conductance is calculated using a master equation andis found to exhibit a non-trivial dependence on the magnitude and direction ofan external magnetic field. We show how three-terminal transport measurementsallow for a determination of the coupling-vector characterizing theDzyaloshinskii-Moriya interaction. In particular, we show how its orientation,defining the intramolecular spin chirality, can be probed with ferromagneticelectrodes.

Dzyaloshinskii-Moriya interaction in transport through single molecule transistors