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We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible…

Mesoscale and Nanoscale Physics · Physics 2022-02-28 Patrick M. Lenggenhager , Xiaoxiong Liu , Stepan S. Tsirkin , Titus Neupert , Tomáš Bzdušek

We study the topological properties of magnon excitations in three-dimensional antiferromagnets, where the ground state configuration is invariant under time-reversal followed by space-inversion ($PT$-symmetry). We prove that Dirac points…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Kangkang Li , Chenyuan Li , Jiangping Hu , Yuan Li , Chen Fang

Topological semimetals exhibit band crossings near the Fermi energy, which are protected by the nontrivial topological character of the wave functions. In many cases, these topological band degeneracies give rise to exotic surface states…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Jonathan Zhang , Y. -H. Chan , Ching-Kai Chiu , Maia G. Vergniory , Leslie M. Schoop , Andreas P. Schnyder

Nonsymmorphic space group symmetries can generate exotic band-crossings in topological metals and semimetals. Here, based on symmetry analysis and first-principles calculations, we reveal rich band-crossing features in the existing layered…

Materials Science · Physics 2018-01-19 Si Li , Ying Liu , Shan-Shan Wang , Zhi-Ming Yu , Shan Guan , Xian-Lei Sheng , Yugui Yao , Shengyuan A. Yang

In a Dirac nodal line semimetal, the bulk conduction and valence bands touch at extended lines in the Brillouin zone. To date, most of the theoretically predicted and experimentally discovered nodal lines derive from the bulk bands of two-…

In topological semimetals the Dirac points can form zero-dimensional and one-dimensional manifolds, as predicted for Dirac/Weyl semimetals and topological nodal line semimetals, respectively. Here, based on first-principles calculations, we…

In periodic systems, nodal lines are loops in the three-dimensional momentum space where two bands are degenerate with each other. Nodal lines exhibit rich topological features as they can take various configurations such as rings, links,…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Dongyang Wang , Biao Yang , Ruo-Yang Zhang , Wen-Jie Chen , Z. Q. Zhang , Shuang Zhang , C. T. Chan

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

Using evolutionary algorithm and first-principles calculations, we predict a family group of two-dimensional node-line semimetals MX (M=Pd, Pt; X=S, Se, Te), which has zig-zag type mono-layer structure in Pmm2 layer group. Band structure…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Yuanjun Jin , Rui Wang , Jinzhu Zhao , Candi Zheng , Li-Yong. Gan , Junfeng Liu , Hu Xu , S. Y. Tong

In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link…

Strongly Correlated Electrons · Physics 2017-11-28 Zhongbo Yan , Ren Bi , Huitao Shen , Ling Lu , Shou-Cheng Zhang , Zhong Wang

Two-dimensional (2D) band crossing semimetals (BCSMs) could be used to build a range of novel nanoscale devices such as superlenses and transistors. We find that symmorphic symmetry can protect a new type of robust 2D BCSMs, unlike the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Wei Luo , Junyi Ji , Jinlian Lu , Xiuwen Zhang , Hongjun Xiang

Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically non-trivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular, semimetals with nodal line Fermi surface (FS)…

Strongly Correlated Electrons · Physics 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

Time-reversal invariant superconductors in three dimensions may contain nodal lines in the Brillouin zone, which behave exactly as Wilson loops of 3d momentum-space Chern-Simons theory of the Berry connection. Here we study the conditions…

Superconductivity · Physics 2017-10-05 Xiao-Qi Sun , Biao Lian , Shou-Cheng Zhang

We study a new class of non-Hermitian topological phases in three dimension in the absence of any symmetry, where the topological robust band degeneracies are Hopf-link exceptional lines. As a concrete example, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Zhesen Yang , Jiangping Hu

The band complex formed by multiple topological states has attracted extensive attention for the emergent properties produced by the interplay among the constituent states. Here, based on group theory analysis, we present a scheme for…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Le Du , Zeling Li , Jiabing Chen , Dongliang Mao , Lei Wang , Xiao-Ping Li

We show that Multiple Weyl and double Weyl points arise in a chiral elastic system through stacking many two-dimensional honeycomb mechanical structures. On the distinct kz plane, the band structures calculated from tight-binding model…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Yao-Ting Wang

Topological materials, such as topological insulators or semimetals, usually not only reveal the nontrivial properties of their electronic wavefunctions through the appearance of stable boundary modes, but also through very specific…

We investigate two-dimensional trilayered quantum systems with multi-orbital conduction bands by focusing on the role played by the layer degree of freedom in setting the character of nodal line semimetals. The layer index can label the…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 F. Forte , D. Guerra , C. Noce , W. Brzezicki , M. Cuoco

1H-phase monolayer transition-metal dichalcogenides have spin-split electronic band structures near the K(K') point due to strong spin-orbit coupling and intrinsic inversion symmetry breaking. In case of the monolayer MoX2 (X=S, Se, Te),…

Materials Science · Physics 2018-12-31 Kyung-Han Kim , Bohm Jung Yang , Hyun-Woo Lee

Three-dimensional topological semimetals can support band crossings along one-dimensional curves in the momentum space (nodal lines or Dirac lines) protected by structural symmetries and topology. We consider rhombohedrally (ABC) stacked…

Mesoscale and Nanoscale Physics · Physics 2018-01-15 T. Hyart , R. Ojajärvi , T. T. Heikkilä