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Nodal semimetals, materials systems with nodal-point or -line Fermi surfaces, are much sought after for their novel transport and topological properties. Identification of experimental materials candidates, however, has mainly relied on…

Materials Science · Physics 2017-11-06 Ru Chen , Hoi Chun Po , Jeffrey B. Neaton , Ashvin Vishwanath

Filling-enforced Dirac semimetals, or those required at specific fillings by the combination of crystalline and time-reversal symmetries, have been proposed and discovered in numerous materials. However, Dirac points in these materials are…

Mesoscale and Nanoscale Physics · Physics 2017-05-26 Steve M Young , Benjamin J. Wieder

Nonsymmorphic symmetries like screws and glides produce electron band touchings, obstructing the formation of a band insulator and leading, instead, to metals or nodal semimetals even when the number of electrons in the unit cell is an even…

Strongly Correlated Electrons · Physics 2016-08-26 Haruki Watanabe , Hoi Chun Po , Michael P. Zaletel , Ashvin Vishwanath

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an…

Materials Science · Physics 2016-05-11 Benjamin J. Wieder , Youngkuk Kim , A. M. Rappe , C. L. Kane

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

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

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

Non-symmorphic symmetries protect Dirac line nodes in square net materials. This phenomenon has been most prominently observed in ZrSiS. Here, we systematically study the symmetry-protected nodal fermions that result from different ways of…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Sebastian Klemenz , Leslie Schoop , Jennifer Cano

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

Weyl and Dirac (semi)metals in three dimensions have robust gapless electronic band structures. Their massless single-body energy spectra are protected by symmetries such as lattice translation, (screw) rotation and time reversal. In this…

Strongly Correlated Electrons · Physics 2019-03-06 Syed Raza , Alexander Sirota , Jeffrey C. Y. Teo

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

It is proposed that the new generation of spintronics should be ideally massless and dissipationless for the realization of ultra-fast and ultra-low-power spintronic devices. We demonstrate that the spin-gapless materials with linear energy…

Mesoscale and Nanoscale Physics · Physics 2017-02-14 Xiao-lin Wang

Young and Kane have given a great insight for 2D Dirac semimetals with nontrivial topology in the presence of nonsymmorphic crystalline symmetry. Based on one of 2D nonsymmorphic square lattice structures they proposed, we further construct…

Materials Science · Physics 2019-05-22 Pok-Man Chiu , Cheng-Yi Huang , Wan-Ju Li , Ting-Kuo Lee

We study interaction-induced broken symmetry phases that can arise in metallic or semimetallic band structures with two nested Weyl or Dirac loops. The odered phases can be of the charge or (pseudo)spin density wave type, or…

Strongly Correlated Electrons · Physics 2018-10-10 Miguel A. N. Araújo , Linhu Li

Using an evolutionary algorithm in combination with first-principles density functional theory calculations, we identify two-dimensional (2D) CaP$_3$ monolayer as a new Dirac semimetal due to inversion and nonsymmorphic spatial symmetries…

Materials Science · Physics 2023-03-06 Seoung-Hun Kang , Wei Luo , Sinchul Yeom , Yaling Zheng , Mina Yoon

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

Strongly Correlated Electrons · Physics 2017-04-12 Wojciech Brzezicki , Mario Cuoco

The topological properties of fermions arise from their low-energy Dirac-like band dispersion and associated chiralities. Initially confined to points, extensions of the Dirac dispersion to lines and even loops have now been uncovered and…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 S. Pezzini , M. R. van Delft , L. Schoop , B. Lotsch , A. Carrington , M. I. Katsnelson , N. E. Hussey , S. Wiedmann

The interplay between symmetry and topology led to the concept of symmetry-protected topological states, including all non-interacting and weakly interacting topological quantum states. Among them, recently proposed nodal line semimetal…

Materials Science · Physics 2025-03-05 Yongpan Li , Shifeng Qian , Cheng-Cheng Liu

The experimental discovery of the topological Dirac semimetal establishes a platform to search for various exotic quantum phases in real materials. ZrSiS-type materials have recently emerged as topological nodal-line semimetals where gapped…

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