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Topological band theory predicts a $\mathbb{Z}$ classification of three-dimensional (3D) Dirac semimetals (DSMs) at the single-particle level. Namely, an arbitrary number of identical bulk Dirac nodes will always remain locally stable and…

Strongly Correlated Electrons · Physics 2022-11-09 Sheng-Jie Huang , Jiabin Yu , Rui-Xing Zhang

Bosonic Dirac materials are testbeds for dissipationless spin-based electronics. In the quasi two-dimensional honeycomb lattice of CrX$_{3}$ (X=Cl, Br, I), Dirac magnons have been predicted at the crossing of acoustical and optical spin…

Materials Science · Physics 2024-05-14 John A. Schneeloch , Yu Tao , Yongqiang Cheng , Luke Daemen , Guangyong Xu , Qiang Zhang , Despina Louca

In many of three-dimensional metals with the inversion symmetry and a weak spin-orbit interaction, Dirac points of the electron energy spectrum form band-contact lines in the Brillouin zones of these crystals, and electron topological…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 G. P. Mikitik , Yu. V. Sharlai

We propose that Dirac cones can be engineered in phosphorene with fourfold-coordinated phosphorus atom. The key is to separate in energy the in-plane ($s$, $p_x$ and $p_y$) and out-of-plane ($p_z$) oribtals through the $sp^2$ configuration,…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 Yuanchang Li , Xiaobin Chen

Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

The presence of an exchange field in topological insulators reveals novel spin related phenomena derived from the combination of topology and magnetism. In the present work we show the controlled occurrence of either metallic or gapped…

Materials Science · Physics 2017-04-12 Hugo Aramberri , M. Carmen Muñoz

Dirac carriers in graphene are commonly characterized by a pseudospin degree of freedom, arising from the degeneracy of the two inequivalent sublattices. The inherent chirality of the quasiparticles leads to a topologically non-trivial band…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Marta Prada

We study the effect of the Rashba spin-orbit coupling on the Fermi arcs of topological Dirac semimetals. The Rashba coupling is induced by breaking the inversion symmetry at the surface. Remarkably, this coupling could be enhanced by the…

Mesoscale and Nanoscale Physics · Physics 2021-02-12 Yuriko Baba , Francisco Domínguez-Adame , Gloria Platero , Rafael A. Molina

We formulate and study a spin-orbital model for a family of cubic double perovskites with $d^1$ ions occupying a frustrated fcc sublattice. A variational approach and a complimentary analytical analysis reveal a rich variety of phases…

Strongly Correlated Electrons · Physics 2017-05-31 Judit Romhányi , Leon Balents , George Jackeli

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

High-order topological charge is of intensive interest in the field of topological matters. In real materials, cubic Dirac point is rare and the chiral charge of one Weyl point (WP) has never be found to exceed |C| = 3 for spin- 1/2…

Materials Science · Physics 2021-10-04 Peng-Jen Chen , Wan-Ju Li , Ting-Kuo Lee

Topological semimetals recently stimulate intense research activities. Combining first-principles calculations and effective model analysis, we predict that CaTe is topological node-line semimetal when spin-orbit coupling (SOC) is ignored.…

Materials Science · Physics 2017-02-08 Yongping Du , Feng Tang , Di Wang , Li Sheng , Er-jun Kan , Chun-Gang Duan , Sergey Y. Savrasov , Xiangang Wan

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals…

Strongly Correlated Electrons · Physics 2018-05-16 László Oroszlány , Balázs Dóra , József Cserti , Alberto Cortijo

Based on first-principles calculations, we find that LiZnBi, a metallic hexagonal $ABC$ compound, can be driven into a Dirac semimetal with a pair of Dirac points by strain. The nontrivial topological nature of the strained LiZnBi is…

Materials Science · Physics 2017-09-20 Wendong Cao , Peizhe Tang , Yong Xu , Jian Wu , Bing-Lin Gu , Wenhui Duan

We reveal a class of three-dimensional $d$-orbital topological materials in the antifluorite Cu$_2$S family. Derived from the unique properties of low-energy $t_{2g}$ states, their phases are solely determined by the sign of spin-orbit…

Materials Science · Physics 2017-07-24 Xian-Lei Sheng , Zhi-Ming Yu , Rui Yu , Hongming Weng , Shengyuan A. Yang

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

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

We predict the magnetic and electronic properties of a novel metal-organic framework. By combining density functional theory and density matrix renormalization group approaches, we find the diatomic Kagome crystal structure of the…

Strongly Correlated Electrons · Physics 2025-05-19 Christopher Lane , Yixuan Huang , Lin Hou , Jian-Xin Zhu

Spin-orbit coupling plays an important role in determining the properties of solids, and is crucial for spintronics device applications. Conventional spin-orbit coupling arises microscopically from relativistic effects described by the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Shou-Cheng Zhang

The remarkable properties of graphene stem from its two-dimensional (2D) structure, with a linear dispersion of the electronic states at the corners of the Brillouin zone (BZ) forming a Dirac cone. Since then, other 2D materials have been…

Materials Science · Physics 2018-11-06 S. Sadeddine , H. Enriquez , A. Bendounan , P. Das , I. Vobornik , A. Kara , A. Mayne , F. Sirotti , G. Dujardin , H. Oughaddou
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