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We introduce a prototypical nonlinear Weyl equation, motivated by recent developments in massless Dirac fermions, topological semimetals and photonics. We study the dynamics of its pulse solutions and find that a localized one-hump initial…

Pattern Formation and Solitons · Physics 2019-08-21 J. Cuevas-Maraver , P. G. Kevrekidis , F. G. Mertens , A. Saxena

Weyl semimetals are characterized by their bulk Weyl points -- conical band touching points that carry a topological monopole charge -- and Fermi arc states that span between the Weyl points on the surface of the material. Recently,…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Guangze Chen , Wei Chen , Oded Zilberberg

We investigate a three-dimensional (3D) topological phase resembling a Weyl semimetal, modulated by a periodic potential and engineered through Floquet dynamics. This system is constructed by stacking two-dimensional Chern insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Fang Qin , Rui Chen

In this letter, we report the presence of novel type of plasmon Weyl points in a naturally existing material - magnetized plasma. In such a medium, conventional, purely longitudinal bulk plasma oscillations exists only along the direction…

Unconventional Weyl point with nonlinear dispersion features higher topological charge $|{\cal{C}}|>1$ and multiple topologically protected Fermi arc states at its boundary. As a novel topological state, it has been attracting widespread…

Materials Science · Physics 2022-12-28 Xiaotian Wang , Feng Zhou , Zeying Zhang , Zhi-Ming Yu , Yugui Yao

We explore the topological properties of double-Weyl semimetals with cold atoms in optical lattices. We first propose to realize a tight-binding model of simulating the double-Weyl semimetal with a pair of double-Weyl points by engineering…

Quantum Gases · Physics 2017-06-23 Xue-Ying Mai , Dan-Wei Zhang , Zhi Li , Shi-Liang Zhu

We propose to realize Weyl semimetals in a cubic optical lattice. We find that there exist three distinct Weyl semimetal phases in the cubic optical lattice for different parameter ranges. One of them has two pairs of Weyl points and the…

Strongly Correlated Electrons · Physics 2017-07-18 Jing-Min Hou , Wei Chen

A new type of Weyl semimetal state, in which the energy values of Weyl nodes are not the local extrema, has been theoretically proposed recently, namely type II Weyl semimetal. Distinguished from type I semimetal (e.g. TaAs), the Fermi…

Materials where the electronic bands have unusual topologies allow for the realization of novel physics and have a wide range of potential applications. When two electronic bands with linear dispersions intersect at a point, the excitations…

Strongly Correlated Electrons · Physics 2017-07-27 C. Y. Guo , C. Cao , M. Smidman , F. Wu , Y. J. Zhang , F. Steglich , F. C. Zhang , H. Q. Yuan

The current-voltage characteristics of a new range of devices built around Weyl semimetals has been predicted using the Landauer formalism. The potential step and barrier have been reconsidered for a three-dimensional Weyl semimetals, with…

Materials Science · Physics 2017-06-13 R. D. Y. Hills , A. Kusmartseva , F. V. Kusmartsev

Three-dimensional (3D) Weyl semimetal Mn$_3$Sn has attracted tremendous attention due to its great application potential. However, the complex magnetic structures at different temperature intervals make it extremely difficult to unravel the…

Strongly Correlated Electrons · Physics 2023-12-06 L. Y. Cao , Z. A. Xu , B. X. Gao , L. Wang , X. T. Zhang , X. Y. Zhang , Y. F. Guo , R. Y. Chen

Multi-band touchings such as 3-band, 6-band and 8-band touchings together with the emergence of high pseudospin fermions were predicted recently at high-symmetry points in three-dimensional space. In this paper, we propose a simple cubic…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Motohiko Ezawa

Depending on the geometry of their Fermi surfaces, Weyl semimetals and their analogues in classical systems have been classified into two types. In type I Weyl semimetals (WSMs), the cone-like spectrum at the Weyl point (WP) is not tilted,…

Applied Physics · Physics 2020-08-05 Farzad Zangeneh-Nejad , Romain Fleury

Weyl fermions play a major role in quantum field theory but have been quite elusive as fundamental particles. Materials based on quasi two-dimensional bismuth layers were recently designed and provide an arena for the study of the interplay…

Strongly Correlated Electrons · Physics 2016-12-07 M. Chinotti , A. Pal , W. J. Ren , C. Petrovic , L. Degiorgi

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

A Weyl semimetal is a new state of matter that host Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk band degeneracy, Weyl nodes, which are separated in momentum space and are…

Weyl semimetal (WSM), a novel state of quantum matter, hosts Weyl fermions as emergent quasiparticles resulting from the breaking of either inversion or time-reversal symmetry. Magnetic WSMs that arise from broken time-reversal symmetry…

A variety of quantum systems exhibits Weyl points in their spectra where two bands cross in a point of three-dimensional parameters space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Janis Erdmanis , Árpád Lukács , Yuli V. Nazarov

We present systematic theoretical studies of both bulk and surface electromagnetic eigenmodes, or polaritons, in Weyl semimetals. We derive the tensors of bulk and surface conductivity taking into account all possible combinations of the…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Qianfan Chen , A. Ryan Kutayiah , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

The discovery of Weyl semimetals represents a significant advance in topological band theory. They paradigmatically enlarged the classification of topological materials to gapless systems while simultaneously providing experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 P. Rüßmann , A. P. Weber , F. Glott , N. Xu , M. Fanciulli , S. Muff , A. Magrez , P. Bugnon , H. Berger , M. Bode , J. H. Dil , S. Blügel , P. Mavropoulos , P. Sessi
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