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Three-dimensional Weyl fermions are found to emerge from simple cubic lattices with staggered fluxes. The mechanism is to gap the quadratic band touching by time-reversal-symmetry-breaking hoppings. The system exhibits rich phase diagrams…

Quantum Gases · Physics 2012-04-03 Jian-Hua Jiang

Topological semimetals in three-dimensions (e.g. Weyl semimetal) can be built by stacking two dimensional topological phases. The interesting aspect of such a construction is that even though the topological building blocks in the low…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Sriram Ganeshan , S. Das Sarma

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

Topological band theory has revolutionized our understanding of electronic structure of materials, in particular, a novel state - Weyl semimetal - has been predicted for systems with strong spin-orbit coupling (SOC). Here, a new class of…

Materials Science · Physics 2015-10-20 Yuanping Chen , Yuee Xie , Shengyuan A. Yang , Hui Pan , Fan Zhang , Marvin L. Cohen , Shengbai Zhang

The electronic structure of a cubic $\mathcal{T}$-symmetric Weyl semimetal is analysed in the presence of atomic-sized vacancy defects. Isolated vacancies are shown to generate nodal bound states with $r^{{\scriptscriptstyle -2}}$…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , S. M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

Topological mechanical structures exhibit robust properties protected by topological invariants. In this letter, we study a family of deformed square lattices that display topologically protected zero-energy bulk modes analogous to the…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 D. Zeb Rocklin , Bryan Gin-ge Chen , Martin Falk , Vincenzo Vitelli , T. C. Lubensky

Graphene as a two-dimensional (2D) topological Dirac semimetal has attracted much attention for its outstanding properties and potential applications. However, three-dimensional (3D) topological semimetals for carbon materials are still…

We report the discovery of a time-reversal symmetric Weyl semimetal obtained by modifying a model Hamiltonian describing the electronic properties of conventional alkali metals. The artificially generated Weyl semimetal features four…

Materials Science · Physics 2020-06-11 Joseba Goikoetxea , Jorge Bravo-Abad , Jaime Merino

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

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

Weyl semimetals typically appear in systems in which either time-reversal (T) or inversion (P}) symmetry are broken. Here we show that in the presence of gauge potentials these topological states of matter can also arise in fermionic…

Quantum Gases · Physics 2016-08-08 L. Lepori , I. C. Fulga , A. Trombettoni , M. Burrello

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 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

Weyl semimetals are topological materials with protected Weyl nodes in the band structure. In these materials the surface states form open curves at the Fermi surface, Fermi arcs in Weyl semimetals and drumhead states of nodal-line…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Enrique Benito-Matías , Rafael A. Molina

Recognized as elementary particles in the standard model,Weyl fermions in condensed matter have received growing attention. However, most of the previously reportedWeyl semimetals exhibit rather complicated electronic structures that, in…

Materials Science · Physics 2017-10-12 Simin Nie , Gang Xu , Fritz B. Prinz , Shou-Cheng Zhang

Soft materials can self-assemble into highly structured phases which replicate at the mesoscopic scale the symmetry of atomic crystals. As such, they offer an unparalleled platform to design mesostructured materials for light and sound.…

Soft Condensed Matter · Physics 2018-05-01 Michel Fruchart , Seung-Yeol Jeon , Kahyun Hur , Vadim Cheianov , Ulrich Wiesner , Vincenzo Vitelli

We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological insulator film coupled with a d-wave altermagnet. Our results show that the trilayer topological insulator exhibits…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Lizhou Liu , Qing-Feng Sun , Ying-Tao Zhang

We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Gábor B. Halász , Leon Balents

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

The realization of Dirac and Weyl physics in solids has made topological materials one of the main focuses of condensed matter physics. Recently, the topic of topological nodal line semimetals, materials in which Dirac or Weyl-like…

Materials Science · Physics 2018-02-13 Shuo-Ying Yang , Hao Yang , Elena Derunova , Stuart S. P. Parkin , Binghai Yan , Mazhar N. Ali