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Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

介观与纳米尺度物理 · 物理学 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

Graphene, topological insulators, and Weyl semimetals are three widely studied materials classes which possess Dirac or Weyl cones arising from either sublattice symmetry or spin-orbit coupling. In this work, we present a theory of a new…

介观与纳米尺度物理 · 物理学 2015-04-21 Kapildeb Dolui , Tanmoy Das

Recently, the gapless Dirac/Weyl nodal semimetals with linear dispersion and topologically protected modes degeneracy are rapidly growing frontiers of topological physics. Especially, type-I, type-II, and critical type-III nodal semimetals…

光学 · 物理学 2022-05-17 Shengyu Hu , Zhiwei Guo , Haitao Jiang , Hong Chen

Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion relations to preserve the Poincar\'{e} symmetry, the most fundamental symmetry in high energy physics. In solids, the counterparts of the Poincar\'{e}…

材料科学 · 物理学 2020-08-12 Weikang Wu , Zhi-Ming Yu , Xiaoting Zhou , Y. X. Zhao , Shengyuan A. Yang

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…

材料科学 · 物理学 2018-02-13 Shuo-Ying Yang , Hao Yang , Elena Derunova , Stuart S. P. Parkin , Binghai Yan , Mazhar N. Ali

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…

Three-dimensional Dirac and Weyl semimetals have attracted widespread interest in condensed matter physics and material science. Here, based on first-principles calculations and symmetry analysis, we report that Ag$_2$S with…

材料科学 · 物理学 2019-11-20 Zhenwei Wang , Kaifa Luo , Jianzhou Zhao , Rui Yu

Three dimensional (3D) Dirac semimetal is a novel state of quantum matter, characterized by the gapless bulk four-fold degeneracy near Fermi energy. Soon after its discovery, the classification of stable 3D Dirac semimetals with inversion…

介观与纳米尺度物理 · 物理学 2016-05-18 Zihao Gao , Meng Hua , Haijun Zhang , Xiao Zhang

Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

介观与纳米尺度物理 · 物理学 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

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…

材料科学 · 物理学 2018-09-12 Heng Gao , Youngkuk Kim , Jörn W. F. Venderbos , C. L. Kane , E. J. Mele , Andrew M. Rappe , Wei Ren

We study the stability of gap-closing (Weyl or Dirac) points in the three-dimensional Brillouin zone of semimetals using Clifford algebras and their representation theory. We show that a pair of Weyl points with $\mathbb{Z}_2$ topological…

介观与纳米尺度物理 · 物理学 2014-06-26 Takahiro Morimoto , Akira Furusaki

Dirac semimetal (DSM) hosts four-fold degenerate isolated band-crossing points with linear dispersion, around which the quasiparticles resemble the relativistic Dirac Fermions. It can be described by a 4 * 4 massless Dirac Hamiltonian which…

材料科学 · 物理学 2017-12-06 Cong Chen , Zefeng Su , Xiaoming Zhang , Ziyu Chen , Xian-Lei Sheng

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…

介观与纳米尺度物理 · 物理学 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. We show that even though disorder is perturbatively irrelevant at 3D Dirac points, nonperturbative effects from rare regions give rise to a nonzero…

强关联电子 · 物理学 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

We point out that a face-centered cubic (FCC) optical lattice, which can be realised by a simple scheme using three lasers, provides one a highly controllable platform for creating Weyl points and topological nodal superfluids in ultracold…

量子气体 · 物理学 2017-07-26 Li-Jun Lang , Shao-Liang Zhang , K. T. Law , Qi Zhou

The Weyl particle is the massless fermionic cousin of the photon. While no fundamental Weyl particles have been identified, they arise in condensed matter and meta-material systems, where their spinor nature imposes topological constraints…

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the…

介观与纳米尺度物理 · 物理学 2015-12-25 Bitan Roy , Jay D. Sau

Topological insulators and topological semimetals are both new classes of quantum materials, which are characterized by surface states induced by the topology of the bulk band structure. Topological Dirac or Weyl semimetals show linear…

材料科学 · 物理学 2017-06-21 Binghai Yan , Claudia Felser