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We demonstrate that we can determine the antiferromagnetic anisotropies andthe bulk Dzyaloshinskii-Moriya fields of the insulating iron oxide hematite,{\alpha}-Fe2O3, using a surface sensitive spin-Hall magnetoresistance (SMR)technique. We develop an analytical model that in combination with SMRmeasurements, allow for the identification of the material parameters of thisprototypical antiferromagnet over a wide range of temperatures and magneticfield values. Using devices with different orientations, we demonstrate thatthe SMR response strongly depends on the direction of the charge current withrespect to the magneto-crystalline anisotropies axis. We show that we canextract the anisotropies over a wide temperature range including across theMorin phase transition. We observe that the electrical response is dominated bythe orientation of the antiferromagnetic N\'eel order parameter, rather than bythe emergent weak magnetic moment. Our results highlight that the surfacesensitivity of the SMR allows accessing the magnetic anisotropies ofantiferromagnetic crystals and in particular thin films where other methods todetermine anisotropies such as bulk-sensitive magnetic susceptibilitymeasurements do not provide sufficient sensitivity.

Anisotropies and magnetic phase transitions in insulating antiferromagnets determined by a Spin-Hall magnetoresistance probe