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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…

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

Even if Weyl semimetals are characterized by quasiparticles with well-defined chirality, exploiting this experimentally is severely hampered by Weyl lattice-fermions coming in pairs with opposite chirality, typically causing the net…

介观与纳米尺度物理 · 物理学 2023-03-28 Rajyavardhan Ray , Banasree Sadhukhan , Manuel Richter , Jorge I. Facio , Jeroen van den Brink

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,…

材料科学 · 物理学 2020-10-07 Hai-Xiao Wang , Zhi-Kang Lin , Bin Jiang , Guang-Yu Guo , Jian-Hua Jiang

We classify the band degeneracies in 3D crystals with screw symmetry $n_m$ and broken $\mathcal P*\mathcal T$ symmetry, where $\mathcal P$ stands for spatial inversion and $\mathcal T$ for time reversal. The generic degeneracies along…

材料科学 · 物理学 2017-07-27 Stepan S. Tsirkin , Ivo Souza , David Vanderbilt

Due to their topological charge, or chirality, the Weyl cones present in topological semimetals are considered robust against arbitrary perturbations. One well-understood exception to this robustness is the pairwise creation or annihilation…

介观与纳米尺度物理 · 物理学 2021-11-19 Viktor Könye , Adrien Bouhon , Ion Cosma Fulga , Robert-Jan Slager , Jeroen van den Brink , Jorge I. Facio

Based on $ab$ $initio$ calculations and low-energy effective $k{\cdot}p$ model, we propose a type of Weyl nodal point-line fermion, composed of 0D Weyl points and 1D Weyl nodal line, in ferromagnetic material Eu$_5$Bi$_3$. In the absence of…

材料科学 · 物理学 2019-09-13 Hongbo Wu , Da-Shuai Ma , Botao Fu , Wei Guo , Yugui Yao

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…

Topological semimetals in three dimensions display band-touchings at points (Weyl or Dirac semimetals) or nodal lines in the Brillouin zone. Weyl semimetals can occur with internal symmetries only (time-reversal ${\cal T}$, charge…

介观与纳米尺度物理 · 物理学 2023-12-01 Faruk Abdulla , Ganpathy Murthy , Ankur Das

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

材料科学 · 物理学 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

The ferromagnetic Weyl semimetals, such as Co3Sn2S2, feature pairs of Weyl points characterized by the opposite chiralities.We model this type of semimetals by the inversion symmetry protected and the time reversal symmetry broken Bloch…

介观与纳米尺度物理 · 物理学 2023-09-20 Udai Prakash Tyagi , Partha Goswami

Weyl semimetal is a new topological state of matter, characterized by the presence of nondegenerate band-touching nodes, separated in momentum space, in its bandstructure. Here we discuss a particular realization of a Weyl semimetal: a…

介观与纳米尺度物理 · 物理学 2013-05-30 A. A. Zyuzin , Si Wu , A. A. Burkov

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…

介观与纳米尺度物理 · 物理学 2024-11-04 Faruk Abdulla

The interplay between magnetic ordering and band topology has emerged as a fertile ground for discovering novel quantum states with profound implications for fundamental physics and next-generation electronics. Here, we theoretically…

材料科学 · 物理学 2025-05-09 Qingqing Li , Li Chen , Run-Wu Zhang , Botao Fu

We report on exotic response properties in 3D time-reversal invariant Weyl semimetals with mirror symmetry. Despite having a vanishing anomalous Hall coefficient, we find that the momentum-space quadrupole moment formed by four Weyl nodes…

介观与纳米尺度物理 · 物理学 2021-02-19 Oleg Dubinkin , F. J. Burnell , Taylor L. Hughes

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…

Nodal-line metals and semimetals, as interesting topological states of matter, have been mostly studied in nonmagnetic materials. Here, based on first-principles calculations and symmetry analysis, we predict that fully spin-polarized Weyl…

材料科学 · 物理学 2019-03-13 Cong Chen , Zhi-Ming Yu , Si Li , Ziyu Chen , Xian-Lei Sheng , Shengyuan A. Yang

We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with $n$-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of…

介观与纳米尺度物理 · 物理学 2012-11-15 Chen Fang , Matthew J. Gilbert , Xi Dai , B. Andrei Bernevig

Systems with strong spin-orbit coupling, which competes with other interactions and energy scales, offer a fertile playground to explore new correlated phases of matter. Weyl semimetals are an example where the phenomenon leads to a low…

强关联电子 · 物理学 2013-05-13 Huazhou Wei , Sung-Po Chao , Vivek Aji

Weyl semimetals are a three dimensional gapless topological phase in which bands intersect at arbitrary points -- the Weyl nodes -- in the Brillouin zone. These points carry a topological quantum number known as the \emph{chirality} and…

强关联电子 · 物理学 2015-03-05 Pavan Hosur , Xiao-Liang Qi

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

介观与纳米尺度物理 · 物理学 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents
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