Moiré Phonons in Magic-Angle Twisted Bilayer Graphene
Open Access
- 28 September 2022
- journal article
- research article
- Published by American Chemical Society (ACS) in Nano Letters
- Vol. 22 (19) , 7791-7797
Abstract
Magic-angle twisted bilayer graphene (TBG) has attracted significant interest recently due to the discoveries of diverse correlated and topological states. In this work, we study the phonon properties in magic-angle TBG based on many-body classical potential and interatomic forces generated by a deep neural network trained with data from ab initio calculations. We have discovered a number of soft modes which can exhibit dipolar, quadrupolar, and octupolar vibrational patterns in real space, as well as some time-reversal breaking chiral phonon modes. We have further studied the phonon effects on the electronic structures by freezing certain soft phonon modes. We find that if a soft quadrupolar phonon mode is assumed to be frozen, the system would exhibit a charge order which is perfectly consistent with recent experiments. Moreover, once some low-frequency C2z-breaking modes get frozen, the Dirac points at the charge neutrality point would be gapped out, which provides an alternative perspective to the origin of correlated insulator state at charge neutrality point.Keywords
Funding Information
- Ministry of Science and Technology of the People's Republic of China (2020YFA0309601)
- National Natural Science Foundation of China (12174257)
This publication has 95 references indexed in Scilit:
- DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamicsComputer Physics Communications, 2018
- Correlated insulator behaviour at half-filling in magic-angle graphene superlatticesNature, 2018
- Unconventional superconductivity in magic-angle graphene superlatticesNature, 2018
- Lattice relaxation and energy band modulation in twisted bilayer graphenePhysical Review B, 2017
- Structure of twisted and buckled bilayer graphene2D Materials, 2016
- Chiral Phonons at High-Symmetry Points in Monolayer Hexagonal LatticesPhysical Review Letters, 2015
- Atomic corrugation and electron localization due to Moiré patterns in twisted bilayer graphenesPhysical Review B, 2014
- Phonons in twisted bilayer graphenePhysical Review B, 2013
- Moiré bands in twisted double-layer grapheneProceedings of the National Academy of Sciences, 2011
- Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis setPhysical Review B, 1996