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We study the topological properties of 3D Floquet bandstructures, which are defined using unitary evolution matrices rather than Hamiltonians. Previously, 2D bandstructures of this sort have been shown to exhibit anomalous topological…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Hailong Wang , Longwen Zhou , Yidong Chong

Weyl points are point degeneracies that occur in momentum space of periodic materials, and are associated with a quantized topological charge. We experimentally observe in a 3D micro-printed photonic crystal that a charge-2 Weyl point can…

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

Topological materials have been a main focus of studies in the past decade due to their protected properties that can be exploited for the fabrication of new devices. Among them, Weyl semimetals are a class of topological semimetals with…

Materials Science · Physics 2024-02-05 Davide Grassano , Luca Binci , Nicola Marzari

Recent breakthrough in search for the analogs of fundamental particles in condensed matter systems lead to experimental realizations of 3D Dirac and Weyl semimetals. Weyl state can be hosted either by non-centrosymmetric or magnetic…

We introduce a general mechanism for obtaining Weyl points in a stack of 2D quasicrystals, which can be extended to any stack of aperiodic layers. We do so by driving a topological phase transition with the vertical crystal-momentum as the…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 André Grossi e Fonseca , Thomas Christensen , John D. Joannopoulos , Marin Soljačić

Weyl fermions are hypothetical two-component massless relativistic particles in three-dimensional (3D) space, proposed by Hermann Weyl in 1929. Their band-crossing points, called 'Weyl points,' carry a topological charge and are therefore…

A pair of Weyl points (WPs) with opposite Chern numbers ${\cal{C}}$ can exhibit an additional higher-order $Z_2$ topological charge, giving rise to the formation of a $Z_2$ Weyl dipole. Owing to the nontrivial topological charge, $Z_2$ Weyl…

Materials Science · Physics 2025-02-25 Jianhua Wang , Yang Wang , Feng Zhou , Wenhong Wang , Zhenxiang Cheng , Shifeng Qian , Xiaotian Wang , Zhi-Ming Yu

As one of Weyl semimetals discovered recently, NbP exhibits two groups of Weyl points with one group lying inside the $k_z=0$ plane and the other group staying away from this plane. All Weyl points have been assumed to be type-I, for which…

Materials Science · Physics 2017-10-18 Shu-Chun Wu , Yan Sun , Claudia Felser , Binghai Yan

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

We propose an analytical model describing Fermi arc surface states observed in the recent investigations of Weyl semimetals. The effective two-valley Hamiltonian is supplemented by the boundary conditions taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Zh. A. Devizorova , V. A. Volkov

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 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

We perform ultrahigh resolution angle-resolved photoemission experiments at a temperature T=0.8 K on the type-II Weyl semimetal candidate WTe$_{2}$. We find a surface Fermi arc connecting the bulk electron and hole pockets on the (001)…

Materials Science · Physics 2016-10-12 J. Sánchez-Barriga , M. G. Vergniory , D. Evtushinsky , I. Aguilera , A. Varykhalov , S. Blügel , O. Rader

The hypothetical Weyl particles in high-energy physics have been discovered in three-dimensional crystals as collective quasiparticle excitations near two-fold degenerate Weyl points. Such momentum-space Weyl particles carry quantized…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Qiaolu Chen , Fujia Chen , Qinghui Yan , Li Zhang , Zhen Gao , Shengyuan A. Yang , Zhi-Ming Yu , Hongsheng Chen , Baile Zhang , Yihao Yang

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…

Two-dimensional topological edge states, immunizing against defects and disorders, have greatly revolutionized our scientific cognition on propagation and scattering of acoustic waves. Recently, the similar states have been predicted in…

Materials Science · Physics 2018-03-13 Tingting Liu , Shengjie Zheng , Hongqing Dai , Dejie Yu , Baizhan Xia

We study the electronic properties of strongly spin-orbit coupled electrons on the elastic pyrochlore lattice. Akin to the Peierls transition in one-dimensional systems, the coupling of the lattice to the electronic degrees of freedom can…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Tomáš Bzdušek , Andreas Rüegg , Manfred Sigrist

Type-II Weyl semimetals are a novel gapless topological phase of matter discovered recently in 2015. Similar to normal (type-I) Weyl semimetals, type-II Weyl semimetals consist of isolated band touching points. However, unlike type-I Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Raditya Weda Bomantara , Jiangbin Gong

We consider finite-sized interfaces of a Weyl semi-metal and show that the corresponding confinement potential is similar to the application of a magnetic field. Among the numerous states, which can be labeled by indices n like in Landau…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 Serguei Tchoumakov , Marcello Civelli , Mark O. Goerbig