FQAH in twisted MoTe2(tMoTe2)
Ferromagnetism in twisted MoTe2 :
Anderson, E., Fan, F. R., Cai, J., Holtzmann, W., Taniguchi, T., Watanabe, K., … & Xu, X. (2023). Programming correlated magnetic states with gate-controlled moiré geometry. Science, 381(6655), 325-330. The paper discovers ferromagnetism and its electrical controlled phase diagram near v = -1 with magnetic circular dichorism measurement.
Signature of FQAHE (Zero-field FCI):
Cai, J., Anderson, E., Wang, C., Zhang, X., Liu, X., Holtzmann, W., … & Xu, X. (2023). Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature, 622(7981), 63-68. The paper discovers signature of FCIs at zero magnetic field for v = -1, -2/3, -3/5 with Chern number C = -1, -2/3, -3/5
Zeng, Y., Xia, Z., Kang, K., Zhu, J., Knüppel, P., Vaswani, C., … & Shan, J. (2023). Thermodynamic evidence of fractional Chern insulator in moiré MoTe2. Nature, 622(7981), 69-73. The paper confirms FCIs at v = -1 and -2/3 with Chern number C = -1, -2/3
Transport measurement of FQAHE:
Park, H., Cai, J., Anderson, E., Zhang, Y., Zhu, J., Liu, X., … & Xu, X. (2023). Observation of fractionally quantized anomalous Hall effect. Nature, 622(7981), 74-79. The paper meausres FQAHE at v = -1, -2/3, -3/5. It also discovers a compressible phase at v = -1/2.
Xu, F., Sun, Z., Jia, T., Liu, C., Xu, C., Li, C., … & Li, T. (2023). Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe 2. Physical Review X, 13(3), 031037. The paper meausres FQAHE at v = -1, -2/3.
MIM measurement of FCIs in tMoTe2
Ji, Z., Park, H., Barber, M. E., Hu, C., Watanabe, K., Taniguchi, T., … & Xu, X., Shen, Z. X. (2024). Local probe of bulk and edge states in a fractional Chern insulator. arXiv preprint arXiv:2404.07157. The paper images FCIs with MIM as a local probe. They also discover new fractions at -4/7.
STM/S of layer pseduspin physics in tMoTe2
Thompson, E., Chu, K. T., Mesple, F., Zhang, X. W., Hu, C., Zhao, Y., … & Yankowitz, M. (2024). Visualizing the microscopic origins of topology in twisted molybdenum ditelluride. arXiv preprint arXiv:2405.19308.
Liu, Y., Gu, Y., Bao, T., Mao, N., Li, C., Jiang, S., … & Wang, S. (2024). Imaging semiconductor-to-metal transition and topological flat bands of twisted bilayer MoTe2. arXiv preprint arXiv:2406.19310.
Scanning SQUID of FCIs in tMoTe2
Redekop, E., Zhang, C., Park, H., Cai, J., Anderson, E., Sheekey, O., … & Young, A. F. (2024). Direct magnetic imaging of fractional Chern insulators in twisted MoTe2 with a superconducting sensor. arXiv preprint arXiv:2405.10269.
Trion sensing of v = -1/2 composite fermi liquid candidate in tMoTe2
Signature of FTI in 2.1 degree tMoTe2
Kang, K., Shen, B., Qiu, Y., Zeng, Y., Xia, Z., Watanabe, K., … & Mak, K. F. (2024). Evidence of the fractional quantum spin Hall effect in moiré MoTe2. Nature, 628(8008), 522-526.
FQAH in rhombohedral graphene
FQAHE in pentalayer graphene
Lu, Z., Han, T., Yao, Y., Reddy, A. P., Yang, J., Seo, J., … & Ju, L. (2024). Fractional quantum anomalous Hall effect in multilayer graphene. Nature, 626(8000), 759-764.
Signature of even denomenator FQAH in tetralayer
Xie, J., Huo, Z., Lu, X., Feng, Z., Zhang, Z., Wang, W., … & Lu, X. (2024). Even-and Odd-denominator Fractional Quantum Anomalous Hall Effect in Graphene Moire Superlattices. arXiv preprint arXiv:2405.16944.
Extended QAH in pentalayer graphene
Lu, Z., Han, T., Yao, Y., Yang, J., Seo, J., Shi, L., … & Ju, L. (2024). Extended Quantum Anomalous Hall States in Graphene/hBN Moir\’e Superlattices. arXiv preprint arXiv:2408.10203.
Chiral superconductivity in tetralayer
Han, T., Lu, Z., Yao, Y., Shi, L., Yang, J., Seo, J., … & Ju, L. (2024). Signatures of chiral superconductivity in rhombohedral graphene. arXiv preprint arXiv:2408.15233.
SC and FCI/QAHE in pentalayer
Choi, Y., Choi, Y., Valentini, M., Patterson, C. L., Holleis, L. F., Sheekey, O. I., … & Young, A. F. (2024). Electric field control of superconductivity and quantized anomalous Hall effects in rhombohedral tetralayer graphene. arXiv preprint arXiv:2408.12584.
Early experiments of FCIs and QAH in twistronics
FCIs in bilayer graphene/hBN superlattice
Spanton, E. M., Zibrov, A. A., Zhou, H., Taniguchi, T., Watanabe, K., Zaletel, M. P., & Young, A. F. (2018). Observation of fractional Chern insulators in a van der Waals heterostructure. Science, 360(6384), 62-66.
FCIs in MATBG
Xie, Y., Pierce, A. T., Park, J. M., Parker, D. E., Khalaf, E., Ledwith, P., … & Yacoby, A. (2021). Fractional Chern insulators in magic-angle twisted bilayer graphene. Nature, 600(7889), 439-443.
QAHE in MoTe2/WSe2
Li, T., Jiang, S., Shen, B., Zhang, Y., Li, L., Tao, Z., … & Mak, K. F. (2021). Quantum anomalous Hall effect from intertwined moiré bands. Nature, 600(7890), 641-646.
Other related experiments
Magnetism and higher Chern bands in tMoTe2:
Park, H., Cai, J., Anderson, E., Zhang, X. W., Liu, X., Holtzmann, W., … & Xu, X. (2024). Ferromagnetism and Topology of the Higher Flat Band in a Fractional Chern Insulator. arXiv preprint arXiv:2406.09591. The paper discovers ferromagnetism and Chern insulator states in the higher bands in tMoTe2 by transport and optical measurement.
Xu, F., … & Zhang, Y., Liu, X., Jiang, S., Li, T. (2024). Interplay between topology and correlations in the second moiré band of twisted
bilayer MoTe2. The paper discovers ferromagnetism and Chern insulator states in the higher bands in tMoTe2 by transport measurement.
Induced superconductivity in tMoTe2 via Pd alloy:
Jia, Y., Song, T., Zheng, Z. J., Cheng, G., Uzan, A. J., Yu, G., … & Wu, S. (2024). Anomalous Superconductivity in Twisted MoTe2 Nanojunctions. arXiv preprint arXiv:2409.04594.
Jia, Y., Yu, G., Song, T., Yuan, F., Uzan, A. J., Tang, Y., … & Wu, S. (2024). Superconductivity from on-chip metallization on 2D topological chalcogenides. Physical Review X, 14(2), 021051.
STM/S of layer pseduspin physics in tWSe22
Zhang, F., Morales-Durán, N., Li, Y., Yao, W., Su, J. J., Lin, Y. C., … & Shih, C. K. (2024). Direct observation of layer skyrmions in twisted WSe2 bilayers. arXiv preprint arXiv:2406.20036.
Superconductivity in tWSe2
Xia, Y., Han, Z., Watanabe, K., Taniguchi, T., Shan, J., & Mak, K. F. (2024). Unconventional superconductivity in twisted bilayer WSe2. arXiv preprint arXiv:2405.14784.
Guo, Y., Pack, J., Swann, J., Holtzman, L., Cothrine, M., Watanabe, K., … & Dean, C. R. (2024). Superconductivity in twisted bilayer WSe2. arXiv preprint arXiv:2406.03418.