The DOI matches its Crossref record; 50 of the 50 references it cites were found in a registry or an index.
Chiral Spin Density Wave and d+id Superconductivity in the Magic-Angle-Twisted Bilayer Graphene
Open accessAbstract
We model the newly synthesized magic-angle-twisted bilayer graphene superconductor with two p_{x,y}-like Wannier orbitals on the superstructure honeycomb lattice, where the hopping integrals are constructed via the Slater-Koster formulism by symmetry analysis. The characteristics exhibited in this simple model are well consistent with both the rigorous calculations and experiment observations. A van Hove singularity and Fermi-surface (FS) nesting are found in the doping levels relevant to the correlated insulator and unconventional superconductivity revealed experimentally, based on which we identify the two phases as weak-coupling FS instabilities. Then, with repulsive Hubbard interactions turned on, we performed random-phase-approximation based calculations to identify the electron instabilities. As a result, we find chiral d+id topological superconductivity bordering the correlated insulating state near half-filling, identified as noncoplanar chiral spin-density wave ordered state, featuring the quantum anomalous Hall effect. The phase diagram obtained in our approach is qualitatively consistent with experiments.
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Cites
Unconventional superconductivity in magic-angle graphene superlattices
Cao, Y., Fatemi, V., Fang, S., Watanabe, K., Taniguchi, T., Kaxiras, E., & Jarillo-Herrero, P. (2018) · Nature · doi:10.1038/nature26160 · Cited by 8,300
Simplified LCAO Method for the Periodic Potential Problem
Slater, J. C., & Koster, G. F. (1954) · Physical Review · doi:10.1103/physrev.94.1498 · Cited by 5,189
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
Cao, Y., Fatemi, V., Demir, A., Fang, S., Tomarken, S. L., Luo, J. Y., Sanchez-Yamagishi, J. D., Watanabe, K., Taniguchi, T., Kaxiras, E., et al. (2018) · Nature · doi:10.1038/nature26154 · Cited by 4,858
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322
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
Kuroki, K., Onari, S., Arita, R., Usui, H., Tanaka, Y., Kontani, H., & Aoki, H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.087004 · Cited by 1,649
Graphene Bilayer with a Twist: Electronic Structure
Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.256802 · Cited by 1,531
Flat bands in slightly twisted bilayer graphene: Tight-binding calculations
Suárez Morell, E., Correa, J. D., Vargas, P., Pacheco, M., & Barticevic, Z. (2010) · Physical Review B · doi:10.1103/physrevb.82.121407 · Cited by 897
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides
Graser, S., Maier, T., Hirschfeld, P. J., & Scalapino, D. J. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/2/025016 · Cited by 811
Localization of Dirac Electrons in Rotated Graphene Bilayers
Trambly de Laissardière, G., Mayou, D., & Magaud, L. (2010) · Nano Letters · doi:10.1021/nl902948m · Cited by 718
Cited by
Tuning superconductivity in twisted bilayer graphene
Yankowitz, M., Chen, S., Polshyn, H., Zhang, Y., Watanabe, K., Taniguchi, T., Graf, D., Young, A. F., & Dean, C. R. (2019) · Science · doi:10.1126/science.aav1910 · Cited by 2,290
Metadata
- Authors
- Liu, C.-C., Zhang, L.-D., Chen, W.-Q., & Yang, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-11-21
- Volume
- 121
- Issue
- 21
- Pages
- 217001-217001
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2798270675
- Cited by
- 292
- References
- 50
- FWCI
- 24.31
- Type
- journal article
- Language
- en
- Open access
- green
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- Liu, C.-C., Zhang, L.-D., Chen, W.-Q., & Yang, F. (2018). Chiral Spin Density Wave and d+id Superconductivity in the Magic-Angle-Twisted Bilayer Graphene. Physical Review Letters. https://doi.org/10.1103/physrevlett.121.217001
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