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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…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 A. A. Zyuzin , Si Wu , A. A. Burkov

Weyl points, serving as monopoles in the momentum space and laying the foundation of topological gapless phases, have recently been experimentally demonstrated in various physical systems. However, none of the observed Weyl degeneracies are…

Hourglass dispersion is generally believed to be solely protected by nonsymmorphic symmetries, because these symmetries can introduce high-dimensional projective representations. Here, based on symmetry arguments, we propose that the…

Materials Science · Physics 2021-08-11 Baobing Zheng , Fangyang Zhan , Xiaozhi Wu , Rui Wang , Jing Fan

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…

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

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…

Optics · Physics 2017-08-22 Qiang Wang , Meng Xiao , Hui Liu , Shining Zhu , C. T. Chan

The Weyl semimetal is characterized by three-dimensional linear band touching points called Weyl nodes. These nodes come in pairs with opposite chiralities. We show that the coupling of circularly polarized photons with these chiral…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Ching-Kit Chan , Patrick A. Lee , Kenneth S. Burch , Jung Hoon Han , Ying Ran

We point out that a face-centered cubic (FCC) optical lattice, which can be realised by a simple scheme using three lasers, provides one a highly controllable platform for creating Weyl points and topological nodal superfluids in ultracold…

Quantum Gases · Physics 2017-07-26 Li-Jun Lang , Shao-Liang Zhang , K. T. Law , Qi Zhou

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…

Strongly Correlated Electrons · Physics 2015-03-05 Pavan Hosur , Xiao-Liang Qi

We study the presence of an external magnetic field, in combination with torsional strain, over the electron-phonon interactions in a type I Weyl semimetal. This particular superposition of field and strain, modeled in the continuum…

Strongly Correlated Electrons · Physics 2026-02-03 Fabian Jofre Parra , Daniel A. Bonilla , Enrique Muñoz

Landau's Fermi-liquid theory is the standard model for metals, characterized by the existence of electron quasiparticles near a Fermi surface as long as Landau's interaction parameters lie below critical values for instabilities. Recently,…

Mesoscale and Nanoscale Physics · Physics 2014-11-27 Ki-Seok Kim , Heon-Jung Kim , M. Sasaki , J. -F. Wang , L. Li

The coexistence of topological states with different dimensionalities in a single crystalline system offers a unique platform to study the interplay of distinct fermionic excitations. Here, integrating first-principles calculations with…

Materials Science · Physics 2026-04-16 Xiao-Jing Gao , Yanfeng Ge , Yan Gao

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…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

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

Nonsymmoprhic symmetries, such as screw rotations or glide reflections, can enforce band crossings within high-symmetry lines or planes of the Brillouin zone. When these band degeneracies are close to the Fermi energy, they can give rise to…

Quantum topological materials, exemplified by topological insulators, three-dimensional Dirac semimetals and Weyl semimetals, have attracted much attention recently because of their unique electronic structure and physical properties. Very…

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

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…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Oleg Dubinkin , F. J. Burnell , Taylor L. Hughes

Condensed matter systems have now become a fertile ground to discover emerging topological quasi-particles with symmetry protected modes. While many studies have focused on Fermionic excitations, the same conceptual framework can also be…

Materials Science · Physics 2018-07-20 H. Miao , T. T. Zhang , L. Wang , D. Meyers , A. H. Said , Y. L. Wang , Y. G. Shi , H. M. Weng , Z. Fang , M. P. M. Dean

Double-Weyl fermions, as novel topological states of matter, have been mostly discussed in nonmagnetic materials. Here, based on density-functional theory and symmetry analysis, we propose the realization of fully spin-polarized double-Weyl…

Materials Science · Physics 2020-11-30 Lei Jin , Xiaoming Zhang , Ying Liu , Xuefang Dai , Liying Wang , Guodong Liu

Weyl points are degenerate points on the spectral bands at which energy bands intersect conically. They are the origins of many novel physical phenomena and have attracted much attention recently. In this paper, we investigate the existence…

Mathematical Physics · Physics 2021-02-18 Haimo Guo , Meirong Zhang , Yi Zhu
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