Pseudomagnetic fields in fully relaxed twisted bilayer and trilayer graphene (2311.15052v1)
Abstract: We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles {\theta} > 1 ${\circ}$, the in-plane atomic displacements lead to pseudomagnetic fields weakly dependent on {\theta}. In symmetrically twisted trilayer graphene, the central layer in-plane relaxation is greatly enhanced. The joint effect of the relaxation-induced pseudoscalar potentials and the associated energy difference between interlayer dimer and non-dimer pairs resulted in a significant electron-hole asymmetry both in twisted bilayer and trilayer graphene.
- F. Guinea and N. R. Walet, Proceedings of the National Academy of Sciences (2018), 10.1073/pnas.1810947115.
- D. Mao and T. Senthil, Phys. Rev. B 103, 115110 (2021).
- N. N. T. Nam and M. Koshino, Phys. Rev. B 96, 075311 (2017).
- F. Guinea and N. R. Walet, Phys. Rev. B 99, 205134 (2019).
- M. Koshino and N. N. T. Nam, Phys. Rev. B 101, 195425 (2020).
- F. Gargiulo and O. V. Yazyev, 2D Materials 5, 015019 (2017).
- H. Ochoa, Phys. Rev. B 100, 155426 (2019).
- B. Xie and J. Liu, arXiv preprint arXiv:2305.16640 (2023a).
- A. Lopez-Bezanilla and J. L. Lado, Phys. Rev. Res. 2, 033357 (2020).
- F. K. Popov and G. Tarnopolsky, arXiv preprint arXiv:2303.15505 (2023).
- Y. N. Gornostyrev and M. I. Katsnelson, Phys. Rev. B 102, 085428 (2020).
- D. K. Efimkin and A. H. MacDonald, Phys. Rev. B 98, 035404 (2018).
- N. R. Walet and F. Guinea, 2D Materials 7, 015023 (2019).
- R. Bistritzer and A. H. MacDonald, Proceedings of the National Academy of Sciences 108, 12233 (2011).
- J. Kang and O. Vafek, Phys. Rev. B 107, 075408 (2023).
- O. Vafek and J. Kang, Phys. Rev. B 107, 075123 (2023).
- S. Fang and E. Kaxiras, Phys. Rev. B 93, 235153 (2016).
- A. N. Kolmogorov and V. H. Crespi, Phys. Rev. B 71, 235415 (2005).
- H. Suzuura and T. Ando, Phys. Rev. B 65, 235412 (2002).
- T. Low and F. Guinea, Nano letters 10, 3551 (2010).
- J. Jung and A. H. MacDonald, Phys. Rev. B 89, 035405 (2014).
- D. Bennett, D. T. Larson, L. Sharma, S. Carr, and E. Kaxiras, “Twisted bilayer graphene revisited: minimal two-band model for low-energy bands,” (2023), arXiv:2310.12308 [cond-mat.mes-hall] .
- B. Xie and J. Liu, arXiv preprint arXiv:2305.16640 (2023b).
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.