28 August 2014 Spin-Hall effects: from the two-channel model to Dyakonov-Perel equations
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The anisotropic properties of thermal transport in insulating or conducting ferromagnets are derived on the basis of the Onsager reciprocity relations applied to a magnetic system. It is shown that the angular dependence of the temperature gradient takes the same form as that of the anisotropic magnetoresistance, including anomalous and planar Hall contributions [1]. The experimental study [2] shows that the voltage measured between the extremities of the non-magnetic electrode in thermal contact to the Py or YIG ferromagnetic layers follows the predicted angular dependence. Furthermore, the sign and the amplitude of the magneto-voltaic signal measured is in agreement with the thermocouples calculated from the corresponding Seebeck coefficients, for the three different electrodes used in the study (Pt, Cu, Bi).
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B. Madon, B. Madon, H.-J. Drouhin, H.-J. Drouhin, D. Lacour, D. Lacour, J.-E. Wegrowe, J.-E. Wegrowe, "Spin-Hall effects: from the two-channel model to Dyakonov-Perel equations", Proc. SPIE 9167, Spintronics VII, 91671O (28 August 2014); doi: 10.1117/12.2063647; https://doi.org/10.1117/12.2063647

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