The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle
Open accessAbstract
The ability in experiments to control the relative twist angle between successive layers in two-dimensional (2D) materials offers an approach to manipulating their electronic properties; we refer to this approach as ``twistronics.'' A major challenge to theory is that, for arbitrary twist angles, the resulting structure involves incommensurate (aperiodic) 2D lattices. Here, we present a general method for the calculation of the electronic density of states of aperiodic 2D layered materials, using parameter-free Hamiltonians derived from ab initio density-functional theory. We use graphene, a semimetal, and ${\mathrm{MoS}}_{2}$, a representative of the transition-metal dichalcogenide family of 2D semiconductors, to illustrate the application of our method, which enables fast and efficient simulation of multilayered stacks in the presence of local disorder and external fields. We comment on the interesting features of their density of states as a function of twist angle and local configuration and on how these features can be experimentally observed.
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Cites
Electric Field Effect in Atomically Thin Carbon Films
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004) · Science · doi:10.1126/science.1102896 · Cited by 66,834
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Atomically Thin MoS 2 : A New Direct-Gap Semiconductor
Mak, K. F., Lee, C., Hone, J., Shan, J., & Heinz, T. F. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.136805 · Cited by 15,586
Radisavljevic, B., Radenovic, A., Brivio, J., Giacometti, V., & Kis, A. (2011) · Nature Nanotechnology · doi:10.1038/nnano.2010.279 · Cited by 14,939
Van der Waals heterostructures
Geim, A. K., & Grigorieva, I. V. (2013) · Nature · doi:10.1038/nature12385 · Cited by 10,875
Boron nitride substrates for high-quality graphene electronics
Dean, C. R., Young, A. F., Meric, I., Lee, C., Wang, L., Sorgenfrei, S., Watanabe, K., Taniguchi, T., Kim, P., Shepard, K. L., et al. (2010) · Nature Nanotechnology · doi:10.1038/nnano.2010.172 · Cited by 7,124
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
Observation of Van Hove singularities in twisted graphene layers
Li, G., Luican, A., Lopes dos Santos, J. M. B., Castro Neto, A. H., Reina, A., Kong, J., & Andrei, E. Y. (2010) · Nature Physics · doi:10.1038/nphys1463 · Cited by 1,229
Weiße, A., Wellein, G., Alvermann, A., & Fehske, H. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.275 · Cited by 1,036
Commensurate–incommensurate transition in graphene on hexagonal boron nitride
Woods, C. R., Britnell, L., Eckmann, A., Ma, R. S., Lu, J. C., Guo, H. M., Lin, X., Yu, G. L., Cao, Y., Gorbachev, R. V., et al. (2014) · Nature Physics · doi:10.1038/nphys2954 · Cited by 912
Cited by
Topological polaritons and photonic magic angles in twisted α-MoO3 bilayers
Hu, G., Ou, Q., Si, G., Wu, Y., Wu, J., Dai, Z., Krasnok, A., Mazor, Y., Zhang, Q., Bao, Q., et al. (2020) · Nature · doi:10.1038/s41586-020-2359-9 · Cited by 720
Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene
Cao, Y., Rodan-Legrain, D., Rubies-Bigorda, O., Park, J. M., Watanabe, K., Taniguchi, T., & Jarillo-Herrero, P. (2020) · Nature · doi:10.1038/s41586-020-2260-6 · Cited by 668
Naik, M. H., & Jain, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.266401 · Cited by 473
Electronic-structure methods for twisted moiré layers
Carr, S., Fang, S., & Kaxiras, E. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-0214-0 · Cited by 303
Self-citationHu, G., Krasnok, A., Mazor, Y., Qiu, C.-W., & Alù, A. (2020) · Nano Letters · doi:10.1021/acs.nanolett.9b05319 · Cited by 285
Metadata
- Authors
- Carr, S., Massatt, D., Fang, S., Cazeaux, P., Luskin, M., & Kaxiras, E.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2017-02-17
- Volume
- 95
- Issue
- 7
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2547662584
- Cited by
- 526
- References
- 29
- FWCI
- 11.18
- Type
- journal article
- Language
- en
- Open access
- green
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- Carr, S., Massatt, D., Fang, S., Cazeaux, P., Luskin, M., & Kaxiras, E. (2017). Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle. Physical Review B. https://doi.org/10.1103/physrevb.95.075420
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