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Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature…

Materials Science · Physics 2015-09-23 Steve M. Young , Charles L. Kane

We present an exactly solvable spin-3/2 model defined on a pentacoordinated three-dimensional graphite lattice, which realizes a novel quantum spin liquid with second-order topology. The exact solutions are described by Majorana fermions…

Strongly Correlated Electrons · Physics 2020-06-01 Y. X. Zhao , Y. Lu , Shengyuan A. Yang

Characterized by bulk Dirac or Weyl cones and surface Fermi-arc states, topological semimetals have sparked enormous research interest in recent years. The nanostructures, with large surface-to-volume ratio and easy field-effect gating,…

Mesoscale and Nanoscale Physics · Physics 2020-05-01 An-Qi Wang , Xing-Guo Ye , Da-Peng Yu , Zhi-Min Liao

Epitaxial bismuthene on SiC(0001) hosts symmetry-protected metallic edge states within a large bulk band gap, establishing it as a promising two-dimensional topological insulator for hightemperature quantum spin Hall (QSH) transport. Here…

It is generally believed that there is a correspondence between the topological charge of nodal points or lines and the presence of Fermi arcs. Using a $\mathcal{P}\mathcal{T}$-invariant system as an example, we demonstrate that this…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Xue-Min Yang , Jiang-Shan Chen , Ying Chen , Yu-Hang Qin , Hong Wu

Graphene, a two-dimensional crystal made of carbon atoms, provides a new and unexpected bridge between low and high-energy physics. The field has evolved very fast and very good reviews are already available in the literature. Graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alberto Cortijo , Francisco Guinea , Maria A. H. Vozmediano

We propose that CaP3 family of materials, which include CaP3, CaAs3, SrP3, SrAs3 and BaAs3 can host a three-dimensional topological nodal line semimetal states. Based on first-principle calculations and kp model analysis, we show that a…

Materials Science · Physics 2017-01-31 Qiunan Xu , Rui Yu , Zhong Fang , Xi Dai , Hongming Weng

Topological nodal line semimetals are characterized by the crossing of the conduction and valence bands along one or more closed loops in the Brillouin zone. Usually, these loops are either isolated or touch each other at some highly…

Strongly Correlated Electrons · Physics 2017-07-12 Wei Chen , Hai-Zhou Lu , Jing-Min Hou

Nodal-line semimetals (NLSMs) contains Dirac/Weyl type band-crossing nodes extending into shapes of line, loop and chain in the reciprocal space, leading to novel band topology and transport responses. Robust NLSMs against spin-orbit…

Having been extensively studied during last decades in the fields of thermoelectics and ionic conductors, the $\alpha $ phase of Cu$_{2}$Se with antfluoride crystal structure has recently emerged as a topological zero-gap semimetal with a…

Materials Science · Physics 2026-05-05 Thomas Steele , Becker Sharif , David Lederman , Xiangang Wan , Sergey Y. Savrasov

A two-dimensional (2D) Weyl semimetal featuring a spin-polarized linear band dispersion and a nodal Fermi surface is a new topological phase of matter. It is a solid-state realization of Weyl fermions in an intrinsic 2D system. The…

In band theory of solids, degeneracies manifest themselves as point, line, and surface objects. The topological nature of band degeneracies has recently been appreciated since the recognition of gapless topological quantum phases of matter.…

Materials Science · Physics 2018-08-21 Hyungjun Lee , Oleg V. Yazyev

Doped graphene sheets are pseudochiral two-dimensional Fermi liquids with abnormal electron-electron interaction physics. We address graphene's Fermi liquid properties quantitatively using a microscopic random-phase-approximation theory and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Marco Polini , Reza Asgari , Yafis Barlas , T. Pereg-Barnea , A. H. MacDonald

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

Other Condensed Matter · Physics 2026-04-30 Yu. B. Kudasov

Topological semimetals are a frontier of quantum materials. In multi-band electronic systems, topological band-crossings can form closed curves, known as nodal lines. In the presence of spin-orbit coupling and/or symmetry-breaking…

Materials Science · Physics 2022-07-22 Tiantian Zhang , T. Yilmaz , E. Vescovo , H. X. Li , R. G. Moore , H. N. Lee , H. Miao , S. Murakami , M. A. McGuire

We analyze the symmetry and topological features of a family of materials closely related to penta-graphene, derived from it by adsorption or substitution of different atoms. Our description is based on a novel approach, called topological…

Materials Science · Physics 2020-12-25 Sergio Bravo , J. D. Correa , Leonor Chico , M. Pacheco

Graphene is a famous truly two-dimensional (2D) material, possessing a cone-like energy structure near the Fermi level and treated as a gapless semiconductor. Its unique properties trigger researchers to find applications of it. The gapless…

Materials Science · Physics 2024-02-22 Wei-Bang Li , Kuang-I Lin , Yu-Ming Wang , Hsien-Ching Chung , Ming-Fa Lin

Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

We introduce a new type of topological magnon matter: the magnonic pendant to electronic nodal-line semimetals. Magnon spectra of anisotropic pyrochlore ferromagnets feature twofold degeneracies of magnon bands along a closed loop in…

Computational Physics · Physics 2017-01-25 Alexander Mook , Jürgen Henk , Ingrid Mertig

Real topological phases featuring real Chern numbers and second-order boundary modes have been a focus of current research, but finding their material realization remains a challenge. Here, based on first-principles calculations and…

Materials Science · Physics 2022-02-14 Cong Chen , Xu-Tao Zeng , Ziyu Chen , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang