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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…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Adrien Bouhon , QuanSheng Wu , Robert-Jan Slager , Hongming Weng , Oleg V. Yazyev , Tomáš Bzdušek

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…

Optics · Physics 2021-12-01 Ying Chen , Hai-xiao Wang , Qiaoliang Bao , Jian-Hua Jiang , Huanyang Chen

The Weyl semimetals represent a distinct category of topological materials wherein the low-energy excitations appear as the long-sought Weyl fermions. Exotic transport and optical properties are expected because of the chiral anomaly and…

Chiral crystals are materials whose lattice structure has a well-defined handedness due to the lack of inversion, mirror, or other roto-inversion symmetries. These crystals represent a broad, important class of quantum materials; their…

We study the generic band structures of the five-dimensional (5D) Weyl semimetal, in which the band degeneracies are 2D Weyl surfaces in the momentum space, and may have non-trivial linkings with each other if they carry nonzero second…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Jing-Yuan Chen , Biao Lian , Shou-Cheng Zhang

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 performed an extensive first-principles study of nanowires in various pentagonal structures by using pseudopotential plane wave method within the density functional theory. Our results show that nanowires of different types of elements,…

Materials Science · Physics 2009-11-07 Prasenjit Sen , O. Gulseren , T. Yildirim , Inder P. Batra , S. Ciraci

Strong correlation, in concert with symmetry and topology, engenders novel gapless phases of matter, though only a tip of the iceberg has been seen. An exemplary framework is provided by Weyl-Kondo semimetals, in which Weyl fermions develop…

Following the realization of Weyl semimetals in quantum electronic materials, classical wave analogues of Weyl materials have also been theorized and experimentally demonstrated in photonics and acoustics. Weyl points in elastic systems,…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Sai Sanjit Ganti , Ting-Wei Liu , Fabio Semperlotti

By utilizing symmetry analysis and electronic structure calculations, we investigated the low-temperature orthorhombic phase of Ag$_{2}$Se in ${\cal SG}$~17. In addition to the discovery of a nodal plane at $k_{z}=\pi$ protected by the…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Wujun Shi , Gang Li

We discover two distinct topological pathways through which the pentagonal Cairo tiling (P5), a structural model for single-layer $AB_2$ pyrite materials, respectively transforms into a crystalline rhombus-hexagon (C46) tiling and random…

Soft Condensed Matter · Physics 2021-06-16 Yu Zheng , Duyu Chen , Lei liu , Houlong Zhuang , Yang Jiao

In this work we explore the effects of nonlinearity on three-dimensional topological phases. Of particular interest are the so-called Weyl semimetals, known for their Weyl nodes, i.e., point-like topological charges which always exist in…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

Weyl semimetals in three dimensions can exist independently of any symmetry apart from translations. In contrast, in two dimensions, Weyl semimetals require additional symmetries, including crystalline symmetries, to exist. Previous…

Mesoscale and Nanoscale Physics · Physics 2024-11-04 Faruk Abdulla

Single-layer PtN$_2$ exhibits an intriguing structure consisting of a tessellation pattern called the Cairo tessellation of type 2 pentagons, which belong to one of the existing 15 types of convex pentagons discovered so far that can…

Materials Science · Physics 2019-08-05 Lei Liu , Duo Wang , Sreeharsha Lakamsani , Wenjiang Huang , Chance Price , Houlong L. Zhuang

Symmetry-protected topological semimetals are at the focus of solid-state research due to their unconventional properties, for example, regarding transport. By investigating local two-band Bloch Hamiltonians in the spin-1/2 basis for the…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Andy Knoll , Carsten Timm

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

Higher-order topology yields intriguing multidimensional topological phenomena, while Weyl semimetals have unconventional properties such as chiral anomaly. However, so far, Weyl physics remain disconnected with higher-order topology. Here,…

Materials Science · Physics 2020-10-07 Hai-Xiao Wang , Zhi-Kang Lin , Bin Jiang , Guang-Yu Guo , Jian-Hua Jiang

Classical topological phases derived from point degeneracies in photonic bandstructures show intriguing and unique behaviour. Previously identified exceptional points are based on accidental degeneracies and subject to engineering on a…

Optics · Physics 2017-12-06 Matthias Saba , Joachim M. Hamm , Jeremy J. Baumberg , Ortwin Hess

Conventional Weyl nodes are twofold band crossings that carry a unit monopole charge, which can exist in condensed matter systems with the protection of translation symmetry. Unconventional Weyl nodes are twofold/multifold band crossings…

Materials Science · Physics 2020-09-29 Tiantian Zhang , Ryo Takahashi , Chen Fang , Shuichi Murakami

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…