Abstract
Strain can be used to modify the band structure—and thus the electronic properties—of two-dimensional materials. However, research has focused on the use of monolayer graphene with a limited lowering of spatial symmetry and considered only the real-space pseudo-magnetic field. Here we show that lithographically patterned strain can be used to create a non-trivial band structure and exotic phase of matter in bilayer graphene. The approach creates artificially corrugated bilayer graphene in which real-space and momentum-space pseudo-magnetic fields (Berry curvatures) coexist and have non-trivial properties, such as Berry curvature dipoles. This leads to the appearance of two Hall effects without breaking time-reversal symmetry: a nonlinear anomalous Hall effect that originates from the Berry curvature dipole, previously only observed in the Weyl semimetal WTe2, and a linear Hall effect that originates from a warped band dispersion on top of Rashba-like valley–orbit coupling and is similar to the recently proposed Magnus Hall effect.
| Original language | English |
|---|---|
| Pages (from-to) | 116-125 |
| Number of pages | 10 |
| Journal | Nature Electronics |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2021 |
Bibliographical note
Funding Information:We thank T.-R. Chang, Y.-C. Chen, C.-J. Chung, S.-Z. Ho, Y.-D. Liou, L. W. Smith and J. I.-J. Wang for helpful discussions and/or technical assistance. This work is supported by the Ministry of Science and Technology in Taiwan (grant numbers MOST-108-2638-M-006-002-MY2, MOST-105-2628-M-006-003-MY3 and MOST-107-2112-M-006-025-MY3), and the Higher Education Sprout Project, Ministry of Education to the Headquarters of University Advancement at the National Cheng Kung University (NCKU). C.-H.C. acknowledges support from a Yushan Young Scholar Program, under the Ministry of Education (MOE), Taiwan. C.O. acknowledges support from a VIDI grant (project 680-47-543) financed by the Netherlands Organization for Scientific Research (NWO).
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Limited.
Funding
We thank T.-R. Chang, Y.-C. Chen, C.-J. Chung, S.-Z. Ho, Y.-D. Liou, L. W. Smith and J. I.-J. Wang for helpful discussions and/or technical assistance. This work is supported by the Ministry of Science and Technology in Taiwan (grant numbers MOST-108-2638-M-006-002-MY2, MOST-105-2628-M-006-003-MY3 and MOST-107-2112-M-006-025-MY3), and the Higher Education Sprout Project, Ministry of Education to the Headquarters of University Advancement at the National Cheng Kung University (NCKU). C.-H.C. acknowledges support from a Yushan Young Scholar Program, under the Ministry of Education (MOE), Taiwan. C.O. acknowledges support from a VIDI grant (project 680-47-543) financed by the Netherlands Organization for Scientific Research (NWO).