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Weyl points, synthetic magnetic monopoles in the 3D momentum space, are the key features of topological Weyl semimetals. The observation of Weyl points in ultracold atomic gases usually relies on the realization of high-dimensional…

Quantum Gases · Physics 2020-12-07 Xi-Wang Luo , Chuanwei Zhang

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng 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

Weyl semi-metals are three dimensional generalizations of graphene with point-like Fermi surfaces. Their linear electronic dispersion leads to a window in the particle-hole excitation spectrum which allows for undamped propagation of…

Strongly Correlated Electrons · Physics 2020-07-16 N. S. Srivatsa , R. Ganesh

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…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 R. L. Mc Guinness , P. R. Eastham

There is an immense effort in search for various types of Weyl semimetals, of which the most fundamental phase consists of the minimal number of i.e. two Weyl points, but is hard to engineer in solids. Here we demonstrate how such…

Quantum Gases · Physics 2020-11-11 Yue-Hui Lu , Bao-Zong Wang , Xiong-Jun Liu

Recently, the tunable Weyl-semimetal bands and the associate topological phase transition have been successfully simulated in superconducting quantum circuits [X. Tan, \textit{et al.} Phys. Rev. Lett. {\bf 122}, 010501 (2019)]. Since the…

Quantum Physics · Physics 2022-10-28 Mingzhu Weng , Weijun Cheng , Zhihai Wang , Haodi Liu

Very recently, novel quasiparticles beyond those mimicking the elementary high-energy particles such as Dirac and Weyl fermions have attracted great interest in condensed matter physics and materials science1-9. Here we report the first…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Hailong He , Chunyin Qiu , Xiangxi Cai , Meng Xiao , Manzhu Ke , Fan Zhang , Zhengyou Liu

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…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić

Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone -- Weyl points. Low energy excitations near these points exhibit a linear dispersion and act as relativistic…

Disordered Systems and Neural Networks · Physics 2024-01-24 M. E. Ismagambetov , P. M. Ostrovsky

Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerate at a single momentum point, labeled as Weyl point. These points have remarkable properties such as being robust topological monopoles of…

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

As an analogy to the Weyl point in k-space, we search for energy levels which close at a single point as a function of a three dimensional parameter space. Such points are topologically protected in the sense that any perturbation which…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 John P. T. Stenger , David Pekker

Weyl semimetal is a three-dimensional material with a conical spectrum near an even number of point nodes, where two bands touch each other. Here we study spectral properties of surface electron states in such a system. We show that the…

Mesoscale and Nanoscale Physics · Physics 2014-06-09 Alexander P. Protogenov , Valery A. Verbus , Evgueni V. Chulkov

Parameter-dependent quantum systems often exhibit energy degeneracy points, whose comprehensive description naturally lead to the application of methods from singularity theory. A prime example is an electronic band structure where two…

Mathematical Physics · Physics 2025-07-24 György Frank , András Pályi , Gergő Pintér , Dániel Varjas

Recent years have brought an explosion of activities in the research of topological aspects of condensed-matter systems. Topologically non-trivial phases of matter are typically accompanied by protected surface states or exotic degenerate…

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

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

The Weyl semimetals [1-6] are three-dimensional (3D) gapless topological phases with Weyl cones in the bulk band, and host massless quasiparticles known as Weyl fermions which were theorized by Hermann Weyl in the last twenties [7]. The…

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Alex Westström , Teemu Ojanen
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