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Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated…

介观与纳米尺度物理 · 物理学 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić

Weyl points are robust point degeneracies in the band structure of a periodic material, which act as monopoles of Berry curvature. They have been at the forefront of research in three-dimensional topological materials (whether photonic,…

光学 · 物理学 2021-01-04 Sachin Vaidya , Jiho Noh , Alexander Cerjan , Mikael C. Rechtsman

Weyl points emerge as topological monopoles of Berry flux in the three-dimensional (3D) momentum space and have been extensively studied in topological semimetals. As the underlying topological principles apply to any type of waves under…

介观与纳米尺度物理 · 物理学 2018-07-25 Hao Ge , Xu Ni , Yuan Tian , Samit Kumar Gupta , Ming-Hui Lu , Xin Lin , Wei-Dong Huang , C. T. Chan , Yan-Feng Chen

Weyl points are the degenerate points in three-dimensional momentum space with nontrivial topological phase, which are usually realized in classical system with structure and symmetry designs. Here we proposed a one-dimensional…

光学 · 物理学 2021-12-01 Ying Chen , Hai-xiao Wang , Qiaoliang Bao , Jian-Hua Jiang , Huanyang Chen

Weyl points are point degeneracies that occur in momentum space of periodic materials, and are associated with a quantized topological charge. We experimentally observe in a 3D micro-printed photonic crystal that a charge-2 Weyl point can…

Weyl fermions1 do not appear in nature as elementary particles, but they are now found to exist as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have…

光学 · 物理学 2016-10-17 Qiang Wang , Meng Xiao , Hui Liu , Xiangang Wan , Shining Zhu , C. T. Chan

Ideal Weyl points, which are related by symmetry and thus reside at the same frequency, could promote the deep development and utilization of the Weyl physics. Although the ideal type-I Weyl points have been achieved in photonic crystals,…

介观与纳米尺度物理 · 物理学 2020-05-27 Xueqin Huang , Jiuyang Lu , Feng Li , Weiyin Deng , Zhengyou Liu

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…

介观与纳米尺度物理 · 物理学 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

Since the early days of Dirac flux quantization, magnetic monopoles have been sought after as a potential corollary of quantized electric charge. As opposed to magnetic monopoles embedded into the theory of electromagnetism, Weyl crystals…

Weyl fermions are hypothetical two-component massless relativistic particles in three-dimensional (3D) space, proposed by Hermann Weyl in 1929. Their band-crossing points, called 'Weyl points,' carry a topological charge and are therefore…

光学 · 物理学 2018-06-19 Jiho Noh , Sheng Huang , Daniel Leykam , Y. D. Chong , Kevin Chen , Mikael C. Rechtsman

In time-reversal symmetry-broken Weyl semimetals, Weyl points act as monopoles and antimonopoles of the Berry curvature, with a monopole-antimonopole pair producing a net zero Berry flux. The two-dimensional (2D) planes that separate a…

介观与纳米尺度物理 · 物理学 2024-03-29 Alexander C. Tyner , Shouvik Sur

Weyl points are the simplest topologically-protected degeneracy in a three-dimensional dispersion relation. The realization of Weyl semimetals in photonic crystals has allowed these singularities and their consequences to be explored with…

介观与纳米尺度物理 · 物理学 2020-11-23 R. L. Mc Guinness , P. R. Eastham

Topological photonics enables unprecedented photon manipulation by realizing various topological states, such as corner states, edge states, and surface states. However, achieving a topological fiber state has remained elusive. Here, we…

光学 · 物理学 2024-10-03 Hao Lin , Yu Wang , Zitao Ji , Yidong Zheng , Jianfeng Chen , Zhi-Yuan Li

Weyl semimetals are crystals in which electron bands cross at isolated points in momentum space. Associated with each crossing point (or Weyl node) is an integer topological invariant known as the Berry monopole charge. The discovery of new…

In 1929, Hermann Weyl derived the massless solutions from the Dirac equation - the relativistic wave equation for electrons. Neutrinos were thought, for decades, to be Weyl fermions until the discovery of the neutrino mass. Moreover, it has…

材料科学 · 物理学 2016-10-31 Ling Lu , Zhiyu Wang , Dexin Ye , Lixin Ran , Liang Fu , John D. Joannopoulos , Marin Soljačić

We show that Hamiltonians with Weyl points can be realized for ultracold atoms using laser-assisted tunneling in three-dimensional optical lattices. Weyl points are synthetic magnetic monopoles that exhibit a robust, three-dimensional…

量子气体 · 物理学 2016-08-10 Tena Dubček , Colin J. Kennedy , Ling Lu , Wolfgang Ketterle , Marin Soljačić , Hrvoje Buljan

Weyl fermions have not been found in nature as elementary particles, but they emerge as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have fueled the…

光学 · 物理学 2017-08-22 Qiang Wang , Meng Xiao , Hui Liu , Shining Zhu , C. T. Chan

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…

In electronics systems, the Weyl points can be classified into three types based on the geometry of the Fermi surface, and each type exhibits various unique and intriguing phenomena. While the type-I and type-II Weyl points have been…

介观与纳米尺度物理 · 物理学 2022-12-21 Xiao-Ping Li , Feng Li , Di Zhou , Ying Wu , Zhi-Ming Yu , Yugui Yao

Weyl semimetals in three-dimensional crystals provide the paradigm example of topologically protected band nodes. It is usually taken for granted that a pair of colliding Weyl points annihilate whenever they carry opposite chiral charge. In…

介观与纳米尺度物理 · 物理学 2021-03-09 Adrien Bouhon , QuanSheng Wu , Robert-Jan Slager , Hongming Weng , Oleg V. Yazyev , Tomáš Bzdušek
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