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Topological semimetal states having the minimal number, i.e., only a single pair, of Weyl points are desirable for the study of effects associated with chiral topological charges. So far, the search for such states is focused on magnetic…

Materials Science · Physics 2022-11-30 Xiaotian Wang , Feng Zhou , Zeying Zhang , Weikang Wu , Zhi-Ming Yu , Shengyuan A. Yang

The discovery of Weyl semimetals opens the door for searching topological semimetals in physical science. The Weyl points are generally recognized as conventional, quadratic, spin-1, and those of high topological charges. Here we report the…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Li Luo , Weiyin Deng , Yating Yang , Mou Yan , Jiuyang Lu , Xueqin Huang , Zhengyou Liu

High-order topological charge is of intensive interest in the field of topological matters. In real materials, cubic Dirac point is rare and the chiral charge of one Weyl point (WP) has never be found to exceed |C| = 3 for spin- 1/2…

Materials Science · Physics 2021-10-04 Peng-Jen Chen , Wan-Ju Li , Ting-Kuo Lee

The realization of single-pair chiral fermions in Weyl systems remains challenging in topology physics, especially for the systems with higher chiral charges $C$. In this work, based on the symmetry analysis, low-energy effective model, and…

Materials Science · Physics 2023-12-13 Xiaoliang Xiao , Yuanjun Jin , Da-Shuai Ma , Haoran Wei , Jing Fan , Rui Wang , Xiaozhi Wu

Realizing Weyl semimetals (WSMs) with the minimal number of Weyl points (WPs) fundamentally simplifies extracting intrinsic topological responses. While a minimum of four conventional ($|C|=1$) WPs in nonmagnetic crystals is…

Materials Science · Physics 2026-04-09 Yun-Yun Bai , Ke-Xin Pang , Yan Gao

Unconventional Weyl points (WPs), carrying topological charge 2 or higher, possess interesting properties different from ordinary charge-1 WPs, including multiple Fermi arcs that stretch over a large portion of the Brillouin zone. Thus far,…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Yihao Yang , Zhen Gao , Xiaolong Feng , Yue-Xin Huang , Peiheng Zhou , Shengyuan A. Yang , Yidong Chong , Baile Zhang

Realizing nonmagnetic Weyl semimetals (WSMs) with the minimal number of conventional Weyl points (WPs) and a clean Fermi surface remains a central challenge. Here, combining symmetry analysis with first-principles calculations, we establish…

Materials Science · Physics 2026-02-27 Ze-Xin Xue , Ke-Xin Pang , Yun-Yun Bai , Yanfeng Ge , Yong Liu , Yan Gao

Topological semimetals have recently attracted great attention due to prospective applications governed by their peculiar Fermi surfaces. Weyl semimetals host chiral fermions that manifest as pairs of non-degenerate massless Weyl points in…

In the time-reversal-breaking centrosymmetric systems, the appearance of Weyl points can be guaranteed by an odd number of all the even/odd parity occupied bands at eight inversion-symmetry-invariant momenta. Here, based on symmetry…

Materials Science · Physics 2020-05-06 Yuting Qian , Jiacheng Gao , Zhida Song , Simin Nie , Zhijun Wang , Hongming Weng , Zhong Fang

Weyl points (WPs), as nodal degenerate points in three-dimensional (3D) momentum space, are ideal if they are symmetry-related, well-separated, residing at the same energy and far from the nontopological bands. Although type-II WPs show…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Rujiang Li , Bo Lv , Huibin Tao , Jinhui Shi , Yidong Chong , Baile Zhang , Hongsheng Chen

We present a systematic investigation of the magnetoresponses of the Weyl points (WPs) with a topological charge of n = 2, 3 and 4, and with both linear and quadratic energy tilt. The linear tilt always tends to squeeze the Landau levels…

Strongly Correlated Electrons · Physics 2023-03-08 Pu Liu , Chaoxi Cui , Xiao-Ping Li , Zhi-Ming Yu , Yugui Yao

The Nielsen--Ninomiya theorem requires that the total topological chiral charges in a crystal vanish, a constraint typically satisfied by identical nodes like Weyl--Weyl pairs. Whether a minimal heterogeneous configuration -- comprising a…

Materials Science · Physics 2026-03-19 Hui-Jing Zheng , Ke-Xin Pang , Yun-Yun Bai , Yanfeng Ge , Yan Gao

We present a feasible protocol to mimic topological Weyl semimetal phase in a small one-dimensional circuit-QED lattice. By modulating the photon hopping rates and on-site photon frequencies in parametric spaces, we demonstrate that the…

Quantum Physics · Physics 2016-12-20 Feng Mei , Zheng-Yuan Xue , Dan-Wei Zhang , Lin Tian , Chaohong Lee , Shi-Liang Zhu

The formation of two-band nodal points in gapless topological phases, referred to as conventional Weyl nodes, relies solely on translational symmetry. However, when coupled with other spatial and spatio-temporal symmetries, unconventional…

Materials Science · Physics 2025-05-12 Siyu Chen , Robert-Jan Slager , Bartomeu Monserrat , Adrien Bouhon

Weyl semimetals are gapless three-dimensional (3D) phases whose bandstructures contain Weyl point (WP) degeneracies. WPs carry topological charge and can only be eliminated by mutual annihilation, a process that generates the various…

The hypothetical Weyl particles in high-energy physics have been discovered in three-dimensional crystals as collective quasiparticle excitations near two-fold degenerate Weyl points. Such momentum-space Weyl particles carry quantized…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Qiaolu Chen , Fujia Chen , Qinghui Yan , Li Zhang , Zhen Gao , Shengyuan A. Yang , Zhi-Ming Yu , Hongsheng Chen , Baile Zhang , Yihao Yang

We investigate the topological electronic properties of the $K_4$ crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities ($\chi = \pm 2$ and $\chi = \pm 1$) located…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Shoya Yoshida , Katsuhiro Takahashi , Katsunori Wakabayashi

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Kaifa Luo , Rui Yu , Hongming Weng

Solids with topologically robust electronic states exhibit unusual electronic and optical transport properties that do not exist in other materials. A particularly interesting example is chiral charge pumping, the so-called chiral anomaly,…

Recently, Wang et al. [Phys. Rev. B, 106, 195129 (2022)] challenged a widely held belief in the field of Weyl physics, demonstrating that single-pair-Weyl-points (SP-WPs) can exist in nonmagnetic spinless systems, contrary to previous…

Materials Science · Physics 2023-07-19 Guangqian Ding , Chengwu Xie , Jingbo Bai , Zhenxiang Cheng , Xiaotian Wang , Weikang Wu
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