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Commensuration and interlayer coherence in twisted bilayer graphene
Open accessAbstract
The low-energy electronic spectra of rotationally faulted graphene bilayers are studied using a long-wavelength theory applicable to general commensurate fault angles. Lattice commensuration requires low-energy electronic coherence across a fault and pre-empts massless Dirac behavior near the neutrality point. Sublattice exchange symmetry distinguishes two families of commensurate faults that have distinct low-energy spectra which can be interpreted as energy-renormalized forms of the spectra for the limiting Bernal and $AA$ stacked structures. Sublattice-symmetric faults are generically fully gapped systems due to a pseudospin-orbit coupling appearing in their effective low-energy Hamiltonians.
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Landau-Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer
McCann, E., & Fal’ko, V. I. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.086805 · Cited by 2,060
Biased Bilayer Graphene: Semiconductor with a Gap Tunable by the Electric Field Effect
Castro, E. V., Novoselov, K. S., Morozov, S. V., Peres, N. M. R., dos Santos, J. M. B. L., Nilsson, J., Guinea, F., Geim, A. K., & Neto, A. H. C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.216802 · Cited by 2,033
Scanning Tunneling Spectroscopy of Graphene on Graphite
Li, G., Luican, A., & Andrei, E. Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.176804 · Cited by 528
Cited by
Moiré bands in twisted double-layer graphene
Bistritzer, R., & MacDonald, A. H. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1108174108 · Cited by 3,072
Raman spectroscopy of graphene-based materials and its applications in related devices
Wu, J.-B., Lin, M.-L., Cong, X., Liu, H.-N., & Tan, P.-H. (2018) · Chemical Society Reviews · doi:10.1039/c6cs00915h · Cited by 2,092
Kim, K., Coh, S., Tan, L. Z., Regan, W., Yuk, J. M., Chatterjee, E., Crommie, M. F., Cohen, M. L., Louie, S. G., & Zettl, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.246103 · Cited by 587
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene
Koshino, M., Yuan, N. F. Q., Koretsune, T., Ochi, M., Kuroki, K., & Fu, L. (2018) · Physical Review X · doi:10.1103/physrevx.8.031087 · Cited by 537
Optical absorption in twisted bilayer graphene
Moon, P., & Koshino, M. (2013) · Physical Review B · doi:10.1103/physrevb.87.205404 · Cited by 493
Metadata
- Authors
- Mele, E. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2010-04-12
- Volume
- 81
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2059119839
- Cited by
- 486
- References
- 5
- FWCI
- 13.90
- Type
- journal article
- Language
- en
- Open access
- green
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