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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

We have studied helicity dependent photocurrent (HDP) in Bi-based Dirac semimetal thin films. HDP increases with film thickness before it saturates, changes its sign when the majority carrier type is changed from electrons to holes and…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Masashi Kawaguchi , Hana Hirose , Zhendong Chi , Yong-Chang Lau , Frank Freimuth , Masamitsu Hayashi

Transient electron-hole pairs generated in semiconductors can exhibit unconventional excitonic condensation. Anisotropy in the carrier mass is considered as the key to elongate the life time of the pairs, and hence to stabilize the…

Having previously been the subject of decades of semiconductor research, cadmium arsenide has now reemerged as a topological material, realizing ideal three-dimensional Dirac points at the Fermi level. These topological Dirac points lead to…

Strongly Correlated Electrons · Physics 2024-06-03 Vsevolod Ivanov , Lotte Borkowski , Xiangang Wan , Sergey Y. Savrasov

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

The Dirac equation for relativistic electron waves is the parent model for Weyl and Majorana fermions as well as topological insulators. Simulation of Dirac physics in three-dimensional photonic crystals, though fundamentally important for…

Optics · Physics 2017-11-27 Hai-Xiao Wang , Yige Chen , Zhi Hong Hang , Hae-Young Kee , Jian-Hua Jiang

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

Three dimensional (3D) Dirac semimetals are 3D analogue of graphene, which display Dirac points with linear dispersion in k-space, stabilized by crystal symmetry. Cd3As2 and Na3Bi were predicted to be 3D Dirac semimetals and were…

Materials Science · Physics 2015-08-28 Zhi-Gang Chen , Cheng Zhang , Yichao Zou , Enze Zhang , Lei Yang , Faxian Xiu , Jin Zou

We study the relation between boundary conditions and categorical symmetries of two-dimensional fermionic conformal field theories. We determine all anomaly-free invertible global symmetries of two free complex Weyl fermions, which take the…

High Energy Physics - Theory · Physics 2026-05-15 Guillermo Arias-Tamargo , Philip Boyle Smith , Rishi Mouland , Maxwell L. Velásquez Cotini Hutt

We construct a bosonic analog of a two-dimensional topological Dirac Semi-Metal (DSM). The low-energy description of the most basic 2D DSM model consists of two Dirac cones at positions $\pm\mathbf{k}_0$ in momentum space. The local…

Strongly Correlated Electrons · Physics 2016-12-14 Matthew F. Lapa , Gil Young Cho , Taylor L. Hughes

We calculate the frequency-dependent longitudinal and Hall conductivities and the Faraday and Kerr rotation angles for a single sheet of anisotropic Dirac semimetal protected by nonsymmorphic symmetry in the presence of a Zeeman term…

Mesoscale and Nanoscale Physics · Physics 2023-06-26 Amarnath Chakraborty , Guang Bian , Giovanni Vignale

Dirac nodal line semimetals with topologically protected drumhead surface states have attracted intense theoretical and experimental attention over a decade. However, the study of type-II Dirac nodal line semimetals is rare, especially the…

Materials Science · Physics 2024-12-06 Xiao-Yao Hou , Ze-Feng Gao , Peng-Jie Guo , Jian-Feng Zhang , Zhong-Yi Lu

We study the dynamics of the half-filled zeroth Landau level of Dirac fermions using mirror symmetry, a supersymmetric duality between certain pairs of $2+1$-dimensional theories. We show that the half-filled zeroth Landau level of a pair…

Strongly Correlated Electrons · Physics 2015-12-09 Shamit Kachru , Michael Mulligan , Gonzalo Torroba , Huajia Wang

We theoretically study a tunneling effect in a two-dimensional Dirac semimetal with two Dirac points protected by non-symmorphic symmetries. The tunnel barrier can be arranged by a magnetic exchange potential which opens a gap at the Dirac…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Tetsuro Habe

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

Dirac fermions, characterized by their linear dispersion and relativistic nature, have emerged as a prominent class of quasiparticles in condensed matter physics. While the Dirac equation, initially developed in the context of high-energy…

Three-dimensional topological insulators are characterized by insulating bulk state and metallic surface state involving Dirac fermions that behave as massless relativistic particles. These Dirac fermions are responsible for achieving a…

We have used the de Hass-van Alphen (dHvA) effect to investigate the Fermi surface of high-quality crystalline TiSb2, which unveiled a nontrivial topologic nature by analyzing the dHvA quantum oscillations. Moreover, our analysis on the…

Strongly Correlated Electrons · Physics 2020-04-22 Wei Xia , Xianbiao Shi , Yushu Wang , Wenna Ge , Hao Su , Qin Wang , Xia Wang , Na Yu , Zhiqiang Zou , Yufeng Hao , Weiwei Zhao , Yanfeng Guo

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are…

Materials Science · Physics 2018-01-31 Xing Feng , Changming Yue , Zhida Song , QuanSheng Wu , Bin Wen