Generating Higher-Harmonics Nonlinear Hall Effects in Curved Nanomembranes

Botsz Huang^1,2*, You-Ting Huang^1,2, Yan-Chi Yang^1,2, Tse-Ming Chen^1,2, Ali G. Moghaddam^3,4, Ching-Hao Chang^1,2

¹Department of Physics, National Cheng Kung University, Taiwan
²Center for Quantum Frontiers of Research and Technology (QFort, National Cheng Kung University, Taiwan
³Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS, Zanjan 45137-66731, Iran
⁴Computational Physics, Laboratory Physics Unit Faculty of Engineering and Natural Sciences Tampere University, Tampere, Finland

* Presenter:Botsz Huang, email:haung.botsz@gmail.com

This research explores high-order Hall effects, offering fresh possibilities in electronic transport properties. We show that high-order Hall effects can be generated by curving a versatile, anisotropic conducting nanomembrane. Adjusting the magnetic field direction and strength allows us to tune the Hall response from first to fourth order. Furthermore, we can alter the dominant Hall current frequency, ranging from zero to double or even quadruple that of the applied electric field. This phenomenon arises from high-order magnetic orbits linked to the curved geometry's magnetic dipoles and quadruples.

Keywords: Nonlinear Hall Effect, Nanomembranes, Snake Orbit