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The gapless surface Dirac cone of time reversal invariant topological insulators is protected by time reversal symmetry due to the Kramers' theorem. Spin degree of freedom is usually required since Kramers' theorem only guarantees double…

Strongly Correlated Electrons · Physics 2013-04-25 Chao-Xing Liu

Based on their formation mechanisms, Dirac points in three-dimensional systems can be classified as accidental or essential. The former can be further distinguished into type-I and type-II, depending on whether the Dirac cone spectrum is…

Materials Science · Physics 2017-09-12 Cong Chen , Shan-Shan Wang , Lei Liu , Zhi-Ming Yu , Xian-Lei Sheng , Ziyu Chen , Shengyuan A. Yang

We study the semi-metal/insulator quantum phase transition in three-dimensional Dirac semi-metals by solving a set of Schwinger-Dyson equations. We study the effect of an anisotropic fermion velocity on the critical coupling of the…

Strongly Correlated Electrons · Physics 2023-10-24 Margaret E. Carrington , Wade N. Cowie , Brett A. Meggison

We construct and solve a two-dimensional, chirally symmetric model of Dirac cones subjected to a quasiperiodic modulation. In real space, this is realized with a quasiperiodic hopping term. This hopping model, as we show, at the Dirac node…

Strongly Correlated Electrons · Physics 2020-06-08 Yang-Zhi Chou , Yixing Fu , Justin H. Wilson , E. J. König , J. H. Pixley

Very recently, in spite of various efforts in searching for two dimensional topological Dirac semimetals (2D TDSMs) in phosphorene, there remains a lack of experimentally efficient way to activate such phase transition and the underlying…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Peng-Lai Gong , Bei Deng , Liang-Feng Huang , Liang Hu , Wei-Chao Wang , Da-Yong Liu , Xing-Qiang Shi , Zhi Zeng , Liang-Jian Zou

We report a theoretical description of novel spin-orbit torque components emerging in two-dimensional Dirac materials with broken inversion symmetry. In contrast to usual metallic interfaces where field-like and damping-like torque…

Mesoscale and Nanoscale Physics · Physics 2023-10-11 Joaquín Medina Dueñas , José H. García , Stephan Roche

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

Strongly Correlated Electrons · Physics 2026-05-21 Yuxuan Guo , Yuto Ashida

Non-symmorphic materials have recently been predicted to exhibit many different exotic features in their electronic structures. These originate from forced band degeneracies caused by the non-symmorphic symmetry, which not only creates the…

Time-reversal invariance and inversion symmetry are responsible for the topological band structure in Dirac semimetals. These symmetries can be broken by applying an external magnetic or electric field, resulting in fundamental changes to…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Run Xiao , Saurav Islam , Wilson Yanez , Yongxi Ou , Nitin Samarth , Haiwen Liu , X. C. Xie , Juan Chamorro , Tyrel M. McQueen

We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe$_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Lukas Muechler , Aris Alexandradinata , Titus Neupert , Roberto Car

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

Topological Dirac semimetals (TDSs) represent a new state of quantum matter recently discovered that offers a platform for realizing many exotic physical phenomena. A TDS is characterized by the linear touching of bulk (conduction and…

We analyze emergent quantum multi-criticality for strongly interacting, massless Dirac fermions in two spatial dimensions ($d=2$) within the framework of Gross-Neveu-Yukawa models, by considering the competing order parameters that give…

Strongly Correlated Electrons · Physics 2018-05-24 Bitan Roy , Pallab Goswami , Vladimir Juricic

Dirac semimetals are renowned for the host of singular symmetry-protected band degeneracies which can give rise to other exotic phases. In this work, we consider a two-dimensional Dirac semimetal stabilized by PT symmetry and nonsymmorphic…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Yijie Mo , Xiao-Jiao Wang , Zheng-Yang Zhuang , Zhongbo Yan

Two-dimensional semi-Dirac fermions are quasiparticles that disperse linearly in one direction and quadratically in the other. We investigate instabilities of semi-Dirac fermions towards charge, spin-density wave and superconducting orders,…

Strongly Correlated Electrons · Physics 2019-10-09 Mikolaj D. Uryszek , Elliot Christou , Akbar Jaefari , Frank Krüger , Bruno Uchoa

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

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

In the presence of spin-orbit coupling (SOC), achieving both spin and valley polarized Dirac state is significant to promote the fantastic integration of Dirac physics, spintronics and valleytronics. Based on ab initio calculations, here we…

Computational Physics · Physics 2018-12-04 Zhifeng Liu , Wangxiang Feng , Hongli Xin , Yinlu Gao , Pengfei Liu , Yugui Yao , Hongming Weng , Jijun Zhao

In a Dirac semimetal, the massless Dirac fermion has zero chirality, leading to surface states connected adiabatically to a topologically trivial surface state as well as vanishing anomalous Hall effect (AHE). Recently, it is predicted that…

Using first-principles density functional theory calculations, combined with a topological analysis, we have investigated the electronic properties of $Cd_3As_2$ and $Na_3Bi$ Dirac topological semimetals doped with non-magnetic and magnetic…

Strongly Correlated Electrons · Physics 2020-11-18 A. Rancati , N. Pournaghavi , M. F. Islam , A. Debernardi , C. M. Canali