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The subtle interplay of band topology and symmetry broken phase, induced by electron correlations, has immense contemporary relevance and potentially offers novel physical insights. Here, we demonstrate charge density wave (CDW) in bulk…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Abhishek Juyal , Vinod Kumar Dwivedi , Sonu Verma , Shibabrata Nandi , Amit Agarwal , Soumik Mukhopadhyay

A Weyl semimetal wire with an axial magnetization has metallic surface states (Fermi arcs) winding along its perimeter, connecting bulk Weyl cones of opposite topological charge (Berry curvature). We investigate what happens to this "Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 P. Baireuther , J. Tworzydło , M. Breitkreiz , I. Adagideli , C. W. J. Beenakker

Weyl semimetals are characterized by unconventional electromagnetic response. We present analytical expressions for all components of the frequency- and wave-vector-dependent charge-spin linear-response tensor of Weyl fermions. The…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Sayandip Ghosh , Carsten Timm

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 interplay of electronic band structures and electron-electron interactions is known to brew new phases in condensed matter. In this paper, we investigate thermodynamic phases and corresponding electronic structures of the Weyl semimetal…

Strongly Correlated Electrons · Physics 2016-09-22 Liang-Jun Zhai , Po-Hao Chou , Chung-Yu Mou

Recent experimental observations of Weyl fermions in materials opens a new frontier of condensed matter physics. Based on first-principles calculations, we here discover Weyl fermions in a two-dimensional layered electride material Y$_2$C.…

Materials Science · Physics 2019-06-12 Liangliang Liu , Chongze Wang , Seho Yi , Dou Kyun Kim , Chul Hong Park , Jun-Hyung Cho

A Weyl semimetal (WSM)\ is a three-dimensional topological phase of matter where pairs of nondegenerate bands cross at isolated points in the Brillouin zone called Weyl nodes. Near these points, the electronic dispersion is gapless and…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Samuel Vadnais , Rene Cote

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

Dirac semimetal (DSM) hosts four-fold degenerate isolated band-crossing points with linear dispersion, around which the quasiparticles resemble the relativistic Dirac Fermions. It can be described by a 4 * 4 massless Dirac Hamiltonian which…

Materials Science · Physics 2017-12-06 Cong Chen , Zefeng Su , Xiaoming Zhang , Ziyu Chen , Xian-Lei Sheng

Gapless Weyl semimetals (WSMs) are a novel class of topological materials that host massless Weyl fermions as their low-energy excitations. When the Weyl cone is tilted, the Lorentz invariance is broken and the Lifshitz transition drives…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Yi-Xiang Wang , Fuxiang Li

Weyl semimetals are a class of topological semimetals defined by a Chern number as their topological invariant. These materials exhibit unique properties, such as transverse topological currents and anomalous magnetoelectric responses,…

Materials Science · Physics 2025-02-28 Gengyue Dong

The electrodynamics of Weyl semimetals (WSMs) is an extension of Maxwell's theory where in addition to field strength tensor $F_{\mu\nu}$, an axion field enters the theory which is parameterized by a four-vector $b^\mu=(b_0,\bf b)$. In the…

Strongly Correlated Electrons · Physics 2019-11-20 Zahra Jalali-Mola , S. A. Jafari

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

In the rapidly expanding field of topological materials there is growing interest in systems whose topological electronic band features can be induced or controlled by magnetism. Magnetic Weyl semimetals, which contain linear band crossings…

The Weyl semimetal surface is modeled by applying the Bogolyubov boundary conditions, in which the quasiparticles have an infinite Dirac mass outside the semimetal. For a Weyl semimetal shaped as a slab of finite thickness, we derive an…

Strongly Correlated Electrons · Physics 2014-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

The Weyl semimetal (WSM) is a newly proposed quantum state of matter. It has Weyl nodes in bulk excitations and Fermi arcs surface states. We study the effects of disorder and localization in WSMs and find three exotic phase transitions.…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Chui-Zhen Chen , Juntao Song , Hua Jiang , Qing-feng Sun , Ziqiang Wang , X. C. Xie

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

We have found a ferromagnetic Weyl semimetal (WSM) in half metallic Co$_3$Sn$_2$Se$_2$. The three pairs of Weyl points near Fermi level (E$_F$) are derived from nodal lines gapped by spin-orbit coupling (SOC). Though the Weyl points are…

Materials Science · Physics 2018-03-29 Qiunan Xu , Enke Liu , Wujun Shi , Lukas Muechler , Claudia Felser , Yan Sun

Weyl semimetal defines a material with three dimensional Dirac cones which appear in pair due to the breaking of spatial inversion or time reversal symmetry. Superconductivity is the state of quantum condensation of paired electrons.…

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively,…

Materials Science · Physics 2016-11-29 Xiao Li , Bitan Roy , S. Das Sarma