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| An efficient first-principles method was developed to calculate spin-transfer torques in layered system with noncollinear magnetization. The complete scattering wave function is determined by matching the wave function in the scattering region with the Bloch states in the leads. The spin-transfer torques are obtained with the aid of the scattering wave function. With this method, we studied the thermoelectric coefficients (Seebeck and spin-transfer torques) of FeCo$|$MgO$|$FeCo(001) magnetic tunnel junctions (MTJs). We find FeCo$|$MgO$|$FeCo(001) MTJs usually yield smaller thermoelectric effects compared with epitaxial Fe$|$MgO$|$Fe(001) MTJs. The magneto-Seebeck signal is sensitive to the details of the FeCo$|$MgO interfaces. Additionally, we compute angular dependent Seebeck coefficients that provide more information about the transport process. We report large deviations from the Wiedemann-Franz law at room temperature. |
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