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Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

We develop an effective bulk model with a topological boundary condition to study the surface states of topological insulators. We find that the Dirac point energy, the band curvature and the spin texture of surface states are crystal…

Mesoscale and Nanoscale Physics · Physics 2013-05-01 Fan Zhang , C. L. Kane , E. J. Mele

We propose that the noncentrosymmetric LiGaGe-type hexagonal $ABC$ crystal SrHgPb realizes a new type of topological semimetal that hosts both Dirac and Weyl points in momentum space. The symmetry-protected Dirac points arise due to a band…

Materials Science · Physics 2018-09-12 Heng Gao , Youngkuk Kim , Jörn W. F. Venderbos , C. L. Kane , E. J. Mele , Andrew M. Rappe , Wei Ren

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

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

Recent attempts at topological materials have revealed a large class of materials that show gapless surface states protected by time-reversal symmetry and crystal symmetries. Among them, topological insulating states protected by crystal…

Materials Science · Physics 2023-03-20 J. Howard , A. Rodriguez , N. Haldolaarachchige , K. Hettiarachchilage

Previously known three-dimensional Dirac semimetals (DSs) occur in two types -- topological DSs and nonsymmorphic DSs. Here we present a novel three-dimensional DS that exhibits both features of the topological and nonsymmorphic DSs. We…

Mesoscale and Nanoscale Physics · Physics 2019-06-24 Yun-Tak Oh , Hong-Guk Min , Youngkuk Kim

We propose to realize Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model on a square lattice. We show that a pair of Dirac points protected by space-time inversion symmetry appear in the semimetal phase. The locations of…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Chang-An Li , Sang-Jun Choi , Song-Bo Zhang , Björn Trauzettel

Three-dimensional (3D) topological nodal points, such as Weyl and Dirac nodes have attracted wide-spread interest across multiple disciplines and diverse material systems. Unlike nodal points that contain little structural variations, nodal…

Materials Science · Physics 2018-05-04 Qinghui Yan , Rongjuan Liu , Zhongbo Yan , Boyuan Liu , Hongsheng Chen , Zhong Wang , Ling Lu

Quite recently a novel variety of unconventional fourfold linear band degeneracy points has been discovered in certain condensed-matter systems. Contrary to the standard 3-D Dirac monopoles, these quadruple points referred to as the…

Optics · Physics 2019-12-17 Mengying Hu , Kun Ding , Tong Qiao , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

The three-dimensional (3D) Dirac point, where two Weyl points overlap in momentum space, is usually unstable and hard to realize. Here we show, based on the first-principles calculations and effective model analysis, that crystalline…

Materials Science · Physics 2012-05-25 Zhijun Wang , Yan Sun , Xingqiu Chen , Cesare Franchini , Gang Xu , Hongming Weng , Xi Dai , Zhong Fang

Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

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

Helical spin textures with the marked spin polarizations of topological surface states have been firstly unveiled by the state-of-the-art spin- and angle-resolved photoemission spectroscopy for two promising topological insulators…

Topological semimetal, hosting spin-1 Weyl point beyond Dirac and Weyl points, has attracted a great deal of attention. However, the spin-1 Weyl semimetal, which possesses exclusively the spin-1 Weyl points in a clean frequency window,…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Weiyin Deng , Xueqin Huang , Jiuyang Lu , Feng Li , Jiahong Ma , Shuqi Chen , Zhengyou Liu

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

We design and implement a three dimensional acoustic Weyl metamaterial hosting robust modes bound to a one-dimensional topological lattice defect. The modes are related to topological features of the bulk bands, and carry nonzero orbital…

Mesoscale and Nanoscale Physics · Physics 2021-06-24 Qiang Wang , Yong Ge , Hong-xiang Sun , Haoran Xue , Ding Jia , Yi-jun Guan , Shou-qi Yuan , Baile Zhang , Yidong Chong

We propose a simple two-dimensional acoustic crystal to realize topologically protected edge states for acoustic waves. The acoustic crystal is composed of a triangular array of core-shell cylinders embedded in a water host. By utilizing…

Materials Science · Physics 2016-11-10 Jun Mei , Ze-Guo Chen , Ying Wu

A three-dimensional (3D) Dirac semimetal is the 3D analog of graphene whose bulk band shows a linear dispersion relation in the 3D momentum space. Since each Dirac point with four-fold degeneracy carries a zero Chern number, a Dirac…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bohm-Jung Yang , Naoto Nagaosa

Surface Dirac cones in three-dimensional topological insulators have generated tremendous and enduring interest for almost two decades owing to hosting a multitude of exotic properties. In this work, we unveil the existence of two types of…

Materials Science · Physics 2024-02-20 Dongling Liu , Xiao-Jiao Wang , Yijie Mo , Zhongbo Yan