Chern numbers of topological phonon band crossing determined with inelastic neutron scattering

Zhendong Jin; Biaoyan Hu; Yiran Liu; Yangmu Li; Tiantian Zhang; Kazuki Iida; Kazuya Kamazawa; A. I. Kolesnikov; M. B. Stone; Xiangyu Zhang; Haiyang Chen; Yandong Wang; I. A. Zaliznyak; J. M. Tranquada; Chen Fang; Yuan Li

doi:10.1103/PhysRevB.106.224304

Chern numbers of topological phonon band crossing determined with inelastic neutron scattering

Zhendong Jin, Biaoyan Hu, Yiran Liu, Yangmu Li, Tiantian Zhang, Kazuki Iida, Kazuya Kamazawa, A. I. Kolesnikov, M. B. Stone, Xiangyu Zhang, Haiyang Chen, Yandong Wang, I. A. Zaliznyak, J. M. Tranquada, Chen Fang, Yuan Li

Direct Geometry

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Topological invariants in the band structure, such as Chern numbers, are important for the understanding and classification of the topological properties of matter and dictate the occurrence of exotic behaviors, yet their direct spectroscopic determination has been largely limited to electronic bands. Here, we use inelastic neutron scattering in conjunction with ab initio calculations to identify a variety of topological phonon band crossings in MnSi and CoSi single crystals. We find a distinct relation between the Chern numbers of a band-crossing node and the scattering intensity modulation in momentum space around the node. Given sufficiently high resolution, our method can be used to determine arbitrarily large Chern numbers of topological phonon band-crossing nodes.

Original language	English
Article number	224304
Journal	Physical Review B
Volume	106
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevB.106.224304
State	Published - Dec 1 2022

Funding

The work at Peking University was supported by the National Key R&D Program of China (No. 2018YFA0305602) and the National Natural Science Foundation of China (No. 12061131004 and No. 11888101). The work at Brookhaven National Laboratory was supported by Office of Basic Energy Sciences (BES), Division of Materials Sciences and Engineering, U.S. Department of Energy (DOE), under Contract No. DE-SC0012704. The work at Institute of Physics, Chinese Academy of Sciences was supported by the National Natural Science Foundation of China (No. 12274439). Part of this research was performed at the MLF, J-PARC, Japan, under a user program (Proposals No. 2018A0193, No. 2018B0201, No. 2019A0085). A portion of this research used resources at the Spallation Neutron Source, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory.

Funders	Funder number
U.S. Department of Energy	DE-SC0012704, 12274439
Basic Energy Sciences
Division of Materials Sciences and Engineering
National Natural Science Foundation of China	11888101, 12061131004
National Key Research and Development Program of China	2018YFA0305602

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10.1103/PhysRevB.106.224304

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Jin, Z., Hu, B., Liu, Y., Li, Y., Zhang, T., Iida, K., Kamazawa, K., Kolesnikov, A. I., Stone, M. B., Zhang, X., Chen, H., Wang, Y., Zaliznyak, I. A., Tranquada, J. M., Fang, C., & Li, Y. (2022). Chern numbers of topological phonon band crossing determined with inelastic neutron scattering. Physical Review B, 106(22), Article 224304. https://doi.org/10.1103/PhysRevB.106.224304

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abstract = "Topological invariants in the band structure, such as Chern numbers, are important for the understanding and classification of the topological properties of matter and dictate the occurrence of exotic behaviors, yet their direct spectroscopic determination has been largely limited to electronic bands. Here, we use inelastic neutron scattering in conjunction with ab initio calculations to identify a variety of topological phonon band crossings in MnSi and CoSi single crystals. We find a distinct relation between the Chern numbers of a band-crossing node and the scattering intensity modulation in momentum space around the node. Given sufficiently high resolution, our method can be used to determine arbitrarily large Chern numbers of topological phonon band-crossing nodes.",

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AU - Jin, Zhendong

AU - Hu, Biaoyan

AU - Liu, Yiran

AU - Li, Yangmu

AU - Zhang, Tiantian

AU - Iida, Kazuki

AU - Kamazawa, Kazuya

AU - Kolesnikov, A. I.

AU - Stone, M. B.

AU - Zhang, Xiangyu

AU - Chen, Haiyang

AU - Wang, Yandong

AU - Zaliznyak, I. A.

AU - Tranquada, J. M.

AU - Fang, Chen

AU - Li, Yuan

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AB - Topological invariants in the band structure, such as Chern numbers, are important for the understanding and classification of the topological properties of matter and dictate the occurrence of exotic behaviors, yet their direct spectroscopic determination has been largely limited to electronic bands. Here, we use inelastic neutron scattering in conjunction with ab initio calculations to identify a variety of topological phonon band crossings in MnSi and CoSi single crystals. We find a distinct relation between the Chern numbers of a band-crossing node and the scattering intensity modulation in momentum space around the node. Given sufficiently high resolution, our method can be used to determine arbitrarily large Chern numbers of topological phonon band-crossing nodes.

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Chern numbers of topological phonon band crossing determined with inelastic neutron scattering

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