Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley (2402.17166v3)
Abstract: We uncover a new origin of the planar Hall effect - as an intrinsic property of layer coherent electrons - that exists even in bilayer and trilayer atomically thin limit. It reforms the existing theories requiring three-dimensional orbital motion, or strong spin-orbit coupling of certain forms, which are absent in van der Waals thin films. We exemplify that the effect can be triggered by strain and interlayer sliding in twisted structures with rich tunability and strong magnitudes. Furthermore, this layer coherence mechanism broadens the conceptual framework to include planar multipole Hall effect, and valley Hall effect induced by in-plane pseudo-magnetic field, outreaching the existing mechanisms. The layer mechanism also provides a new route towards quantized Hall response upon a topological phase transition induced by in-plane magnetic field. These results unveil the unexplored potential of quantum layertronics and moir\'e flat band for planar transport in 2D materials.
- Y. Zhang and C. Zhang, Quantized anomalous hall insulator in a nanopatterned two-dimensional electron gas, Phys. Rev. B 84, 085123 (2011).
- X. Liu, H.-C. Hsu, and C.-X. Liu, In-plane magnetization-induced quantum anomalous hall effect, Phys. Rev. Lett. 111, 086802 (2013).
- V. A. Zyuzin, In-plane hall effect in two-dimensional helical electron systems, Phys. Rev. B 102, 241105(R) (2020).
- R. Battilomo, N. Scopigno, and C. Ortix, Anomalous planar hall effect in two-dimensional trigonal crystals, Phys. Rev. Research 3, L012006 (2021).
- S. Sun, H. Weng, and X. Dai, Possible quantization and half-quantization in the anomalous hall effect caused by in-plane magnetic field, Phys. Rev. B 106, L241105 (2022).
- L. Xiang and J. Wang, Intrinsic in-plane magnetononlinear hall effect in tilted weyl semimetals, Phys. Rev. B 109, 075419 (2024).
- Y. Wang, Z.-G. Zhu, and G. Su, Field-induced berry connection and anomalous planar hall effect in tilted weyl semimetals, Phys. Rev. Res. 5, 043156 (2023b).
- Y. Gao, S. A. Yang, and Q. Niu, Field induced positional shift of bloch electrons and its dynamical implications, Phys. Rev. Lett. 112, 166601 (2014).
- H. Yu, M. Chen, and W. Yao, Giant magnetic field from moiré induced Berry phase in homobilayer semiconductors, Natl. Sci. Rev. 7, 12 (2019).
- E. Y. Andrei and A. H. MacDonald, Graphene bilayers with a twist, Nat. Mater. 19, 1265 (2020).
- D. Xiao, M.-C. Chang, and Q. Niu, Berry phase effects on electronic properties, Rev. Mod. Phys. 82, 1959 (2010).
- C. Xiao and Q. Niu, Conserved current of nonconserved quantities, Phys. Rev. B 104, L241411 (2021).
- R. Bistritzer and A. H. MacDonald, Moiré bands in twisted double-layer graphene, Proc. Natl. Acad. Sci. U.S.A. 108, 12233 (2011).
- O. Antebi, A. Stern, and E. Berg, In-plane orbital magnetization as a probe for symmetry breaking in strained twisted bilayer graphene, Phys. Rev. B 105, 104423 (2022).
- H. Zheng, D. Zhai, and W. Yao, Anomalous magneto-optical response and chiral interface of dipolar excitons at twisted valleys, Nano Lett. 22, 5466 (2022).
- D. G. Thomas and J. J. Hopfield, A magneto-stark effect and exciton motion in cds, Phys. Rev. 124, 657 (1961).
- J. J. Hopfield and D. G. Thomas, Fine structure and magneto-optic effects in the exciton spectrum of cadmium sulfide, Phys. Rev. 122, 35 (1961).
- C. Xiao, Y. Ren, and B. Xiong, Adiabatically induced orbital magnetization, Phys. Rev. B 103, 115432 (2021).
- Z. Bi, N. F. Q. Yuan, and L. Fu, Designing flat bands by strain, Phys. Rev. B 100, 035448 (2019).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.