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To realize novel topological phases and to pursue potential applications in low-energy consumption spintronics, the study of magnetic topological materials is of great interest. Starting from the theory of nonmagnetic topological quantum…

Materials Science · Physics 2022-08-03 Jiacheng Gao , Zhaopeng Guo , Hongming Weng , Zhijun Wang

Topological magnons have garnered significant interest for their potential in both fundamental research and device applications, owing to their exotic, uncharged, yet topologically protected boundary modes. However, their comprehension has…

Materials Science · Physics 2025-08-15 Xiaobing Chen , Yuntian Liu , Pengfei Liu , Yutong Yu , Jun Ren , Jiayu Li , Ao Zhang , Qihang Liu

Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their topological properties would typically reveal from the…

Materials Science · Physics 2019-10-08 Jinyu Zou , Zhuoran He , Gang Xu

Band topology is both constrained and enriched by the presence of symmetry. The importance of anti-unitary symmetries such as time reversal was recognized early on leading to the classification of topological band structures based on the…

Strongly Correlated Electrons · Physics 2022-03-14 A. Corticelli , R. Moessner , P. A. McClarty

Magnetic topological materials, in which the time-reversal symmetry is broken, host various exotic quantum phenomena, including the quantum anomalous Hall effect, axion insulator states, and Majorana fermions. The study of magnetic…

Although the richness of spatial symmetries has led to a rapidly expanding inventory of possible topological crystalline (TC) phases of electrons, physical realizations have been slow to materialize due to the practical difficulty to…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Unconventional magnets that combine antiferromagnetic structures with ferromagnetic-like responses are essential for the development of next-generation spintronics. Their emergent properties are fundamentally dictated by the interplay…

Materials Science · Physics 2026-04-24 Yutong Yu , Xiaobing Chen , Yanzhou Zhu , Yuhui Li , Renzheng Xiong , Jiayu Li , Yuntian Liu , Qihang Liu

We propose a framework for generating magnetic structures, inspired by the concept of oriented spin space groups (SSGs): magnetic structures are first generated as totally symmetric representations of an SSG and are then rotated such that…

Materials Science · Physics 2026-01-23 Takuya Nomoto , Kohei Shinohara , Hikaru Watanabe , Ryotaro Arita

The properties of electrons in magnetically ordered crystals are of interest both from the viewpoint of realizing novel topological phases, such as magnetic Weyl semimetals, and from the applications perspective of creating energy-efficient…

Strongly Correlated Electrons · Physics 2018-08-07 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath

In this work, we exhaust all the spin-space symmetries, which fully characterize collinear, non-collinear, commensurate, and incommensurate spiral magnetism, and investigate enriched features of electronic bands that respect these…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zhenyu Xiao , Jianzhou Zhao , Yanqi Li , Ryuichi Shindou , Zhi-Da Song

We conducted a high-throughput search for topological magnetic materials on 522 new, experimentally reported commensurate magnetic structures from MAGNDATA, doubling the number of available materials on the Topological Magnetic Materials…

The discoveries of intrinsically magnetic topological materials, including semimetals with a large anomalous Hall effect and axion insulators, have directed fundamental research in solid-state materials. Topological quantum chemistry has…

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf

Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystalline phases (TCPs). However, compared with topological…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Topological flat bands in two-dimensional (2D) moir\'e materials have emerged as promising platforms for exploring the interplay between topology and correlation effects. However, realistic calculations of moir\'e band topology using…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Yunzhe Liu , Ethan Angerhofer , Kaijie Yang , Chao-Xing Liu , Jiabin Yu

Magnetic order is a fundamental property of materials, governing collective behavior and enabling a broad range of functionalities. Yet magnetic structure remains difficult to determine: experiments are costly and specialized, while…

Nodal semimetals, materials systems with nodal-point or -line Fermi surfaces, are much sought after for their novel transport and topological properties. Identification of experimental materials candidates, however, has mainly relied on…

Materials Science · Physics 2017-11-06 Ru Chen , Hoi Chun Po , Jeffrey B. Neaton , Ashvin Vishwanath

The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material databases. To date, such a database for topological…

Superconductivity · Physics 2022-07-07 Feng Tang , Seishiro Ono , Xiangang Wan , Haruki Watanabe

From new neutron powder diffraction experiments on the chiral cubic ($P2{_1}3$) magnet manganese germanide MnGe, we analyse all of the possible crystal symmetry-allowed magnetic superstructures that are determined successfully from the…

Strongly Correlated Electrons · Physics 2023-01-18 V. Pomjakushin , I. Plokhikh , J. S. White , Y. Fujishiro , N. Kanazawa , Y. Tokura , E. Pomjakushina

The possibility of selecting magnetic space groups by orienting the magnetization direction or tuning magnetic orders offers a vast playground for engineering symmetry protected topological phases in magnetic materials. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Ilyoun Na , Marc Vila , Sinéad M. Griffin
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