Topology beyond the Berry curvature

The band structure topology is commonly characterized by the Berry curvature, which leads to exotic surface states and anomalous Hall effect. In this talk, I will introduce our recent works on topology-induced nonlinear phenomena, including the nonlinear anomalous Hall effect[1,2], the photocurrent[3,4,5], and unidirectional magnetoresistance [6,7] etc. Here, the band topology is discussed in a broader context beyond the Berry curvature.

[1] Phys. Rev. B, 97 (4), 041101(R) (2018). 

[2] 2D Materials, 5 (4), 044001 (2018). 

[3] Phys Rev Res 2, 033100 (2020).

[4] Phys Rev Lett 125, 227401 (2020).

[5] Nature Commun. 10, 3783 (2019).

[6] Nature Materials 20, pages638–644(2021) [7]The Innovation. 2(1), 100085 (2021)