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Higher-order Weyl semimetals are a family of recently predicted topological phases simultaneously showcasing unconventional properties derived from Weyl points, such as chiral anomaly, and multidimensional topological phenomena originating…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Yuang Pan , Chaoxi Cui , Qiaolu Chen , Fujia Chen , Li Zhang , Yudong Ren , Ning Han , Wenhao Li , Xinrui Li , Zhi-Ming Yu , Hongsheng Chen , Yihao Yang

Weyl points are robust point degeneracies in the band structure of a periodic material, which act as monopoles of Berry curvature. They have been at the forefront of research in three-dimensional topological materials (whether photonic,…

Optics · Physics 2021-01-04 Sachin Vaidya , Jiho Noh , Alexander Cerjan , Mikael C. Rechtsman

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Weyl semimetals are 3D condensed matter systems characterized by a degenerate Fermi surface, consisting of a pair of `Weyl nodes'. Correspondingly, in the infrared limit, these systems behave effectively as Weyl fermions in $3+1$…

Strongly Correlated Electrons · Physics 2020-11-10 A. Giuliani , V. Mastropietro , M. Porta

Weyl semimetals are a new paradigmatic topological phase of matter featuring a gapless spectrum. One of its most distinctive features is the presence of Fermi arc surface states. Here, we report on atomistic simulations of the dc…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Jose Chesta Lopez , Luis E. F. Foa Torres , Alvaro S. Nunez

Chiral crystals are materials whose lattice structure has a well-defined handedness due to the lack of inversion, mirror, or other roto-inversion symmetries. These crystals represent a broad, important class of quantum materials; their…

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

Spin-1 Weyl point is formed by three bands touching at a single point in the three dimensional (3D) momentum space, with two of which show cone-like dispersion while the third band is flat. Such a triply degenerate point carries higher…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Xiaotian Shi , Jinkyu Yang

The recent discoveries of Dirac fermions in graphene and on the surface of topological insulators have ignited worldwide interest in physics and materials science. A Weyl semimetal is an unusual crystal where electrons also behave as…

Weyl fermions are shown to exist inside a parabolic band, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring shaped Fermi…

Superconductivity · Physics 2017-10-11 Mauro M. Doria , Andrea Perali

Weyl points are isolated degeneracies in reciprocal space that are monopoles of the Berry curvature. This topological charge makes them inherently robust to Hermitian perturbations of the system. However, non-Hermitian effects, usually…

Inspired by the newly emergent valleytronics, great interest has been attracted to the topological valley transport in classical metacrystals. The presence of nontrivial domain-wall states is interpreted with a concept of valley Chern…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Xiying Fan , Tianzhi Xia , Huahui Qiu , Qicheng Zhang , Chunyin Qiu

Materials combining topologically non-trivial behavior and superconductivity offer a potential route for quantum computation. However, the set of available materials intrinsically realizing these properties are scarce. Recently, surface…

We generalize the concept of Berry connection of the single-electron band structure to the two-particle Cooper pair states between two Fermi surfaces with opposite Chern numbers. Because of underlying Fermi surface topology, the pairing…

Strongly Correlated Electrons · Physics 2018-02-14 Yi Li , F. D. M. Haldane

Weyl fermions are hypothetical chiral particles that can also manifest as excitations near three-dimensional band crossing points in lattice systems. These quasiparticles are subject to the Nielsen-Ninomiya "no-go" theorem when placed on a…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 André Grossi Fonseca , Sachin Vaidya , Thomas Christensen , Mikael C. Rechtsman , Taylor L. Hughes , Marin Soljačić

The chiral surface states of Weyl semimetals have an open Fermi surface called Fermi arc. At the interface between two Weyl semimetals, these Fermi arcs are predicted to hybridize and alter their connectivity. In this letter, we numerically…

Mesoscale and Nanoscale Physics · Physics 2023-08-07 D. -H. -Minh Nguyen , Chiara Devescovi , Dung Xuan Nguyen , Hai Son Nguyen , Dario Bercioux

Degeneracy points of parameter-dependent Hermitian matrices play a fundamental role in quantum physics, as illustrated by the concept of Berry phase in quantum dynamics, the Weyl semimetals in condensed-matter physics, and the robust…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Zoltán Guba , György Frank , Gergő Pintér , András Pályi

The study of Weyl points in electronic systems has inspired many recent researches in classical systems such as photonic and acoustic lattices. Here we show how the Weyl physics can also inspire the design of novel elastic structures. We…

Applied Physics · Physics 2020-10-27 Xiaotian Shi , Rajesh Chaunsali , Feng Li , Jinkyu Yang

We present a semiclassical explanation for the morphology of the surface Fermi arcs of Weyl semimetals. Viewing the surface states as a two-dimensional Fermi gas subject to band bending and Berry curvatures, we show that it is the…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

Quantum topological materials, exemplified by topological insulators, three-dimensional Dirac semimetals and Weyl semimetals, have attracted much attention recently because of their unique electronic structure and physical properties. Very…

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