Theory of Topological Electric and Thermoelectric Transport in Skyrmion Materials II

We analyze transport arising from electric field and thermal gradient induced perturbations to the distribution function in the presence of topological spin textures [1]. We include the effect of the anomalous velocity and eliminate that of the thermodynamic magnetization not measured in transport [2]. We derive a generalized Mott relation between the thermoelectric response and charge conductivity and find analytic expressions for the Seebeck and Nernst coefficients. We demonstrate these results for spin-orbit coupled conduction electrons in the presence of skyrmions and highlight interesting features that depend on the topology of the band structure.

[1] N. Verma, Z. Addison, M. Randeria, arXiv:2203.07356 (2022) to appear in Science Adv.

[2] D. Xiao, Y. Yao, Z. Fang, Q. Niu, Phys. Rev. Lett. 97, 026603 (2006).