Magnon-Electron Interaction in Magnetic Topological Materials

The recently identified magnetic Weyl semimetals Co₃Sn₂S₂ [1] and MnBi₂Te₄ [2] have drawn a lot of interest in the interplay between magnetism and topology. Giant anomalous transport has been detected in Co₃Sn₂S₂ while the manipulation of the Weyl nodes via the rotation of the magnetization has been identified as a possible source of large transport signatures [3]. Nonetheless, in these studies, magnetization is usually considered a classical and temperature-independent quantity, and inherent interaction between electrons and magnons is generally overlooked. Inspired by the prediction of electron-phonon interaction-driven topological phase transition predicted in Ref. [4], we examine the influence of electron-magnon interaction on the topology of selected topological magnetic materials. Using quantum field theory techniques, we compute the band renormalization induced by this interaction in both ferromagnetic and antiferromagnetic two-dimensional topological insulators as a function of the temperature, highlighting the impact of interactions on the lifetimes of magnons and electrons, their transport properties, and topological phase transitions.

[1] Wang et al. Nat. Comm. 9, 3681 (2018)

[2] Li et al. Science Advances, 5(6). (2019)

[3] Ghimire et al. Phys. Rev. Research 1, 032044(R) (2019) .

[4] I. Garate. Phys. Rev. Let. 110 (4), 046402 (2013).