The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Fractional Chern insulator states in twisted bilayer graphene: An analytical approach
Open accessAbstract
This work shows that the character of the narrow band wave functions in twisted bilayer graphene favor the formation of fractional Quantum Hall states even in the absence of a magnetic field. The authors trace the features of magic angle bands to a holomorphic property of the tractable chiral limit which also allows for mapping to a Dirac particle in an inhomogeneous magnetic field and the explicit construction of Laughlin like ground states.
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Citations
Cites
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
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
Sharpe, A. L., Fox, E. J., Barnard, A. W., Finney, J., Watanabe, K., Taniguchi, T., Kastner, M. A., & Goldhaber-Gordon, D. (2019) · Science · doi:10.1126/science.aaw3780 · Cited by 1,723
Strain-Induced Pseudo–Magnetic Fields Greater Than 300 Tesla in Graphene Nanobubbles
Levy, N., Burke, S. A., Meaker, K. L., Panlasigui, M., Zettl, A., Guinea, F., Neto, A. H. C., & Crommie, M. F. (2010) · Science · doi:10.1126/science.1191700 · Cited by 1,680
Intrinsic quantized anomalous Hall effect in a moiré heterostructure
Serlin, M., Tschirhart, C. L., Polshyn, H., Zhang, Y., Zhu, J., Watanabe, K., Taniguchi, T., Balents, L., & Young, A. F. (2020) · Science · doi:10.1126/science.aay5533 · Cited by 1,461
Maximized electron interactions at the magic angle in twisted bilayer graphene
Kerelsky, A., McGilly, L. J., Kennes, D. M., Xian, L., Yankowitz, M., Chen, S., Watanabe, K., Taniguchi, T., Hone, J., Dean, C., et al. (2019) · Nature · doi:10.1038/s41586-019-1431-9 · Cited by 922
Magneto-roton theory of collective excitations in the fractional quantum Hall effect
Girvin, S. M., MacDonald, A. H., & Platzman, P. M. (1986) · Physical Review B · doi:10.1103/physrevb.33.2481 · Cited by 831
Origin of Magic Angles in Twisted Bilayer Graphene
Tarnopolsky, G., Kruchkov, A. J., & Vishwanath, A. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.106405 · Cited by 791
Self-citationTunable correlated Chern insulator and ferromagnetism in a moiré superlattice
Chen, G., Sharpe, A. L., Fox, E. J., Zhang, Y.-H., Wang, S., Jiang, L., Lyu, B., Li, H., Watanabe, K., Taniguchi, T., et al. (2020) · Nature · doi:10.1038/s41586-020-2049-7 · Cited by 720
Electronic correlations in twisted bilayer graphene near the magic angle
Choi, Y., Kemmer, J., Peng, Y., Thomson, A., Arora, H., Polski, R., Zhang, Y., Ren, H., Alicea, J., Refael, G., et al. (2019) · Nature Physics · doi:10.1038/s41567-019-0606-5 · Cited by 676
Cited by
Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Cai, J., Anderson, E., Wang, C., Zhang, X., Liu, X., Holtzmann, W., Zhang, Y., Fan, F., Taniguchi, T., Watanabe, K., et al. (2023) · Nature · doi:10.1038/s41586-023-06289-w · Cited by 719
Fractional Chern insulators in magic-angle twisted bilayer graphene
Xie, Y., Pierce, A. T., Park, J. M., Parker, D. E., Khalaf, E., Ledwith, P., Cao, Y., Lee, S. H., Chen, S., Forrester, P. R., et al. (2021) · Nature · doi:10.1038/s41586-021-04002-3 · Cited by 523
Self-citationColloquium : Quantum anomalous Hall effect
Chang, C.-Z., Liu, C.-X., & MacDonald, A. H. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.011002 · Cited by 508
Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
Gao, A., Liu, Y.-F., Qiu, J.-X., Ghosh, B., V. Trevisan, T., Onishi, Y., Hu, C., Qian, T., Tien, H.-J., Chen, S.-W., et al. (2023) · Science · doi:10.1126/science.adf1506 · Cited by 331
Magic-Angle Twisted Bilayer Graphene as a Topological Heavy Fermion Problem
Song, Z.-D., & Bernevig, B. A. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.047601 · Cited by 253
Metadata
- Authors
- Ledwith, P. J., Tarnopolsky, G., Khalaf, E., & Vishwanath, A.
- Venue
- Physical Review Research
- Publisher
- American Physical Society (APS)
- Published
- 2020-05-27
- Volume
- 2
- Issue
- 2
- ISSN
- 2643-1564 (ISSN-L)
- OpenAlex
- W2995398773
- Cited by
- 266
- References
- 51
- FWCI
- 11.19
- Type
- journal article
- Language
- en
- Open access
- gold
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- Ledwith, P. J., Tarnopolsky, G., Khalaf, E., & Vishwanath, A. (2020). Fractional Chern insulator states in twisted bilayer graphene: An analytical approach. Physical Review Research. https://doi.org/10.1103/physrevresearch.2.023237
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