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A Weyl semimetal (WSM) features Weyl fermions in its bulk and topological surface states on surfaces, and is novel material hosting Weyl fermions, a kind of fundamental particles. The WSM was regarded as a three-dimensional version of…

Materials Science · Physics 2017-04-26 Shumeng Chi , Zhilin Li , Haohai Yu , Gang Wang , Shuxian Wang , Huaijin Zhang , Jiyang Wang

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…

Materials Science · Physics 2019-03-13 Cong Chen , Zhi-Ming Yu , Si Li , Ziyu Chen , Xian-Lei Sheng , Shengyuan A. Yang

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

Multi-Weyl semimetals(m-WSMS) are characterized by anisotropic non-linear energy dispersion along 2-D plane and a linear dispersion in orthogonal direction. They have topological charge J and are realized when two or multiple Weyl nodes…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Amit Gupta

We study the effects of strong $1/r$ long-range Coulomb interactions in a Weyl semimetal. We consider a three-dimensional (3D) Dirac fermion system on a lattice with a time-reversal symmetry breaking term, and take into account $1/r$…

Strongly Correlated Electrons · Physics 2014-08-14 Akihiko Sekine , Kentaro Nomura

Weyl semimetals with magnetic ordering provide a promising platform for the investigation of rare topological effects such as the anomalous Hall effect, resulting from the interplay of nontrivial bands with various spin configurations. The…

Materials Science · Physics 2024-05-13 J. Kunze , M. Köpf , Weizheng Cao , Yanpeng Qi , C. A. Kuntscher

Dirac semimetals (DSM) and Weyl semimetal (WSM) fall under the generic class of three-dimensional solids, which follow relativistic energy-momentum relation $\epsilon_\mathbf{k}= \hbar v_F |\mathbf{k}|$ at low energies. Such a linear…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Sumanta Tewari

In a slab geometry with large surface-to-bulk ratio, topological surface states such as Fermi arcs for Weyl or Dirac semimetals may dominate their low-energy properties. We investigate the collective charge oscillations in such systems,…

Mesoscale and Nanoscale Physics · Physics 2023-08-10 Debasmita Giri , Dibya Kanti Mukherjee , Sonu Verma , H. A. Fertig , Arijit Kundu

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

We discuss the modified quantum electrodynamics from a time-reversal-breaking Weyl semimetal coupled with a $U(1)$ gauge (electromagnetic) field. A key role is played by the soft dispersion of the photons in a particular direction, say…

Strongly Correlated Electrons · Physics 2023-02-01 Xuzhe Ying , A. A. Burkov , Chong Wang

Condensed matter systems provide a rich setting to realize Dirac and Majorana fermionic excitations and the possibility to manipulate them in materials for potential applications. Recently, it has been proposed that Weyl fermions, which are…

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

Dirac semimetal is a phase of matter, whose elementary excitation is described by the relativistic Dirac equation. In the limit of zero mass, its parity-time symmetry enforces the Dirac fermion in the momentum space, which is composed of…

Materials Science · Physics 2022-11-04 Pengfei Liu , Ao Zhang , Jingzhi Han , Qihang Liu

Recent advances in the study of nodal Weyl fermions (WFs), quasi-relativistic massless particles, constitute a novel realm of quantum many-body phenomena. The Coulomb interaction in such systems, having a zero density of states at the Fermi…

Intuitively, the dispersion characteristics of Weyl nodes with opposite charges in single-pair charge-2 Weyl semimetals are the same, quadratic or linear. We theoretically predicted that single-pair hybrid charge-2 Weyl semimetals (the…

Materials Science · Physics 2023-01-20 P. Zhou , Y. Z. Hu , B. R. Pan , F. F. Huang , W. Q. Li , Z. S. Ma , L. Z. Sun

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

We reconsider the problem of the anomalous Hall effect in ferromagnetic SrRuO$_3$, incorporating insights from the recently developed theory of Weyl semimetals. We demonstrate that SrRuO$_3$ possesses a large number of Weyl nodes, separated…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , D. L. Bergman , A. A. Burkov

We derive the electromagnetic response of a particular fermionic sector in the minimal QED contribution to the Standard Model Extension (SME), which can be physically realized in terms of a model describing a tilted and anisotropic Weyl…

High Energy Physics - Theory · Physics 2024-03-14 Andrés Gómez , R. Martínez von Dossow , A. Martín-Ruiz , Luis F. Urrutia

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

High-harmonic generation (HHG) offers an all-optical approach to discern structural symmetries through its selection rules and probe topological phases with its spectral signatures. Here we develop a universal theoretical framework -- the…

Materials Science · Physics 2024-05-28 Xiao Zhang , Jeroen van den Brink , Jinbin Li
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