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Analogues of the elementary particles, Dirac fermions in condensed matter have received extensive attention for both scientific interest and device applications. In this work, we generalize the concept of Dirac semimetal (DSM) to the…

Materials Science · Physics 2018-12-12 Guiyuan Hua , Simin Nie , Zhida Song , Rui Yu , Gang Xu , Kailun Yao

In the recently discovered Weyl semimetals, the Fermi surface may feature disjoint, open segments -- the so-called Fermi arcs -- associated with topological states bound to exposed crystal surfaces. Here we show that the collective dynamics…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Justin C. W. Song , Mark S. Rudner

We study the stability of Dirac semimetals with $N$ nodes in three spatial dimensions against strong $1/r$ Coulomb interactions. We particularly study the cases of $N=4$ and $N=16$, where the $N=4$ Dirac semimetal is described by the…

Strongly Correlated Electrons · Physics 2014-08-25 Akihiko Sekine , Kentaro Nomura

We study Bi2Se3 by polarization-dependent angle-resolved photoemission spectroscopy (ARPES) and density-functional theory slab calculations. We find that the surface state Dirac fermions are characterized by a layer-dependent entangled…

Three-dimensional topological semimetals come in different variants, either containing Weyl points or Dirac lines. Here we describe a more complicated momentum-space topological defect where several separate Dirac lines connect with each…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 T. Hyart , T. T. Heikkila

The recent experimental discovery of a Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature and demonstrates a novel type of anomalous surface state band structure, consisting of Fermi arcs. So far, work has…

Dirac materials, unlike the Weyl materials, have not been found in experiments to support intrinsic topological surface states, as the surface arcs in existing systems are unstable against symmetry-preserving perturbations. Utilizing the…

Materials Science · Physics 2020-03-12 Hengbin Cheng , Yixin Sha , Rongjuan Liu , Chen Fang , Ling Lu

We propose magnonic analogs of topological crystalline insulators which possess Dirac surface states protected by the combined symmetry of time-reversal and half translation. Constructing models of the topological magnon systems, we…

Mesoscale and Nanoscale Physics · Physics 2021-10-26 Hiroki Kondo , Yutaka Akagi

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

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

We study the properties of the surface states in three-dimensional topological insulators in the presence of a ferromagnetic exchange field. We demonstrate that for layered materials like Bi$_2$Se$_3$ the surface states on the top surface…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Tomi Paananen , Henning Gerber , Matthias Götte , Thomas Dahm

We develop a Dirac fermion theory for topological phases in magnetic topological insulator films. The theory is based on exact solutions of the energies and the wave functions for an effective model of the three-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Kai-Zhi Bai , Bo Fu , Shun-Qing Shen

Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

Strongly Correlated Electrons · Physics 2012-11-08 Pavan Hosur

One of the main features of Weyl semimetals is the existence of Fermi arc surface states at their surface, which cannot be realized in pure two-dimensional systems in the absence of many-body interactions. Due to the gapless bulk of the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

We review recent numerical studies of two-dimensional (2D) Dirac fermion theories that exhibit an unusual mechanism of topological protection against Anderson localization. These describe surface-state quasiparticles of time-reversal…

Disordered Systems and Neural Networks · Physics 2021-12-13 Jonas F. Karcher , Matthew S. Foster

Topological semimetals materialize a new state of quantum matter where massless fermions protected by a specific crystal symmetry host exotic quantum phenomena. Distinct from well-known Dirac and Weyl fermions, structurally-chiral…

We have performed angle-resolved photoemission spectroscopy (ARPES) on layered ternary compounds ZrGeXc (Xc = S, Se, and Te) with square Ge lattices. ARPES measurements with bulk-sensitive soft-x-ray photons revealed a quasi-two-dimensional…

Topological insulators (TI) are a phase of matter that host unusual metallic states on their surfaces. Unlike the states that exist on the surface of conventional materials, these so-called topological surfaces states (TSS) are protected…

The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk. However, it has recently been realized that a class of…

Strongly Correlated Electrons · Physics 2017-12-29 Andrew C. Potter , Chong Wang , Max A. Metlitski , Ashvin Vishwanath

The newly-discovered three-dimensional strong topological insulators (STIs) exhibit topologically-protected Dirac surface states. While the STI surface state has been studied spectroscopically by e.g. photoemission and scanned probes,…

Mesoscale and Nanoscale Physics · Physics 2012-06-05 Dohun Kim , Sungjae Cho , Nicholas P. Butch , Paul Syers , Kevin Kirshenbaum , Shaffique Adam , Johnpierre Paglione , Michael S. Fuhrer
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