Abstract We theoretically and numerically study spin-dependent Seebeck and Nernst effects in 2D ferromagnetic materials with the topological spin texture (skyrmion and vortex) ideal gas. From the numerical solution of the matrix Boltzmann equation for a nonequilibrium distribution function and the Lippmann–Schwinger equation for a T-matrix we find the strong nonlinear behaviors in the thermoelectric coefficients depending on skyrmion/vortex diameters and electron concentrations. In particular, the dramatic dependences in the Seebeck and Nernst coefficients take place at larger magnetic texture sizes where the abrupt sign flip in the vortex Seebeck and Nernst coefficients occurs in the narrow region of electron concentrations. In this case the normalized Nernst coefficient changes from + 5 to - 7 . The spin-dependent thermoelectric coefficients are proportional to T at low temperatures for all skyrmion/vortex sizes.

中文翻译：

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斯格明子理想气体中的自旋相关塞贝克和能斯特效应

摘要 我们从理论上和数值上研究了具有拓扑自旋纹理（斯格明子和涡旋）理想气体的二维铁磁材料中与自旋相关的塞贝克和能斯特效应。从非平衡分布函数的矩阵 Boltzmann 方程和 T 矩阵的 Lippmann-Schwinger 方程的数值解，我们发现热电系数的强非线性行为取决于斯格明子/涡旋直径和电子浓度。特别是，Seebeck 和 Nernst 系数的显着相关性发生在较大的磁纹理尺寸处，其中涡旋 Seebeck 和 Nernst 系数中的突然符号翻转发生在电子浓度的狭窄区域。在这种情况下，归一化的能斯特系数从 + 5 变为 - 7 。