Quantum-limit Chern topological magnetism in TbMn6Sn6

Jia-Xin Yin (), Wenlong Ma, Tyler A. Cochran, Xitong Xu, Songtian S. Zhang, Hung-Ju Tien, Nana Shumiya, Guangming Cheng, Kun Jiang, Biao Lian, Zhida Song, Guoqing Chang, Ilya Belopolski, Daniel Multer, Maksim Litskevich, Zi-Jia Cheng, Xian P. Yang, Bianca Swidler, Huibin Zhou, Hsin Lin, Titus Neupert, Ziqiang Wang, Nan Yao, Tay-Rong Chang, Shuang Jia () and M. Zahid Hasan ()
Additional contact information
Jia-Xin Yin: Princeton University
Wenlong Ma: Peking University
Tyler A. Cochran: Princeton University
Xitong Xu: Peking University
Songtian S. Zhang: Princeton University
Hung-Ju Tien: National Cheng Kung University
Nana Shumiya: Princeton University
Guangming Cheng: Princeton University
Kun Jiang: Boston College
Biao Lian: Princeton University
Zhida Song: Princeton University
Guoqing Chang: Princeton University
Ilya Belopolski: Princeton University
Daniel Multer: Princeton University
Maksim Litskevich: Princeton University
Zi-Jia Cheng: Princeton University
Xian P. Yang: Princeton University
Bianca Swidler: Princeton University
Huibin Zhou: Peking University
Hsin Lin: Academia Sinica
Titus Neupert: University of Zurich
Ziqiang Wang: Boston College
Nan Yao: Princeton University
Tay-Rong Chang: National Cheng Kung University
Shuang Jia: Peking University
M. Zahid Hasan: Princeton University

Nature, 2020, vol. 583, issue 7817, 533-536

Abstract: Abstract The quantum-level interplay between geometry, topology and correlation is at the forefront of fundamental physics1–15. Kagome magnets are predicted to support intrinsic Chern quantum phases owing to their unusual lattice geometry and breaking of time-reversal symmetry14,15. However, quantum materials hosting ideal spin–orbit-coupled kagome lattices with strong out-of-plane magnetization are lacking16–21. Here, using scanning tunnelling microscopy, we identify a new topological kagome magnet, TbMn6Sn6, that is close to satisfying these criteria. We visualize its effectively defect-free, purely manganese-based ferromagnetic kagome lattice with atomic resolution. Remarkably, its electronic state shows distinct Landau quantization on application of a magnetic field, and the quantized Landau fan structure features spin-polarized Dirac dispersion with a large Chern gap. We further demonstrate the bulk–boundary correspondence between the Chern gap and the topological edge state, as well as the Berry curvature field correspondence of Chern gapped Dirac fermions. Our results point to the realization of a quantum-limit Chern phase in TbMn6Sn6, and may enable the observation of topological quantum phenomena in the RMn6Sn6 (where R is a rare earth element) family with a variety of magnetic structures. Our visualization of the magnetic bulk–boundary–Berry correspondence covering real space and momentum space demonstrates a proof-of-principle method for revealing topological magnets.

Date: 2020
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DOI: 10.1038/s41586-020-2482-7

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