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A Dirac fermion in a topological Dirac semimetal is a quadruple-degenerate quasi-particle state with a relativistic linear dispersion. Breaking either time-reversal or inversion symmetry turns this system into a Weyl semimetal that hosts…

Materials Science · Physics 2017-07-07 Han-Jin Noh , Jinwon Jeong , En-Jin Cho , Kyoo Kim , B. I. Min , Byeong-Gyu Park

The type-II Dirac fermions that are characterized by a tilted Dirac cone and anisotropic magneto-transport properties have been recently proposed theoretically and confirmed experimentally. Here, we predict the emergence of two-dimensional…

Materials Science · Physics 2018-09-12 L. L. Tao , Evgeny Y. Tsymbal

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Mark O. Goerbig , Gilles Montambaux

Topological semimetals have attracted extensive research interests for realizing condensed matter physics counterparts of three-dimensional Dirac and Weyl fermions, which were originally introduced in high energy physics. Recently it has…

Materials Science · Physics 2017-09-06 Kenan Zhang , Mingzhe Yan , Haoxiong Zhang , Huaqing Huang , Masashi Arita , Zhe Sun , Wenhui Duan , Yang Wu , Shuyun Zhou

Topological nodal line semimetals, a novel quantum state of materials, possess topologically nontrivial valence and conduction bands that touch at a line near the Fermi level. The exotic band structure can lead to various novel properties,…

Type-II Dirac/Weyl semimetals are characterized by strongly tilted Dirac cones such that the Dirac/Weyl node emerges at the boundary of electron and hole pockets as a new state of quantum matter, distinct from the standard Dirac/Weyl points…

Strongly Correlated Electrons · Physics 2018-08-24 Chunqiang Xu , Bin Li , Wenhe Jiao , Wei Zhou , Bin Qian , Raman Sankar , Nikolai D. Zhigadlo , Yanpeng Qi , Dong Qian , Fang-Cheng Chou , Xiaofeng Xu

We report quasi-two-dimensional Dirac fermions and quantum magnetoresistance in LaAgBi$_2$. The band structure shows several narrow bands with nearly linear energy dispersion and Dirac-cone-like points at the Fermi level. The quantum…

Mesoscale and Nanoscale Physics · Physics 2016-04-14 Kefeng Wang , D. Graf , C. Petrovic

Double Dirac fermions have recently been identified as possible quasiparticles hosted by three-dimensional crystals with particular non-symmorphic point group symmetries. Applying a combined approach of ab-initio methods and dynamical mean…

Strongly Correlated Electrons · Physics 2017-09-20 Domenico Di Sante , Andreas Hausoel , Paolo Barone , Jan M. Tomczak , Giorgio Sangiovanni , Ronny Thomale

We report infrared studies of AFe$_{2}$As$_{2}$ (A = Ba, Sr), two representative parent compounds of iron-arsenide superconductors, at magnetic fields (B) up to 17.5 T. Optical transitions between Landau levels (LLs) were observed in the…

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

Quantum Gases · Physics 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

Topological semimetals have recently attracted extensive research interests as host materials to condensed matter physics counterparts of Dirac and Weyl fermions originally proposed in high energy physics. These fermions with linear…

Specific properties, such as surface Fermi arcs, features of quantum oscillations and of various responses to a magnetic field, distinguish Dirac semimetals from ordinary materials. These properties are determined by Dirac points at which a…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Grigorii P. Mikitik

Discovering Dirac fermions with novel properties has become an important front in condensed matter and materials sciences. Here, we report the observation of unusual Dirac fermion states in a strongly-correlated electron setting, which are…

The semi-metals having electrons near the Fermi level follow the relativistic equation of motion, and show Dirac or Weyl-type behavior. Their orbital resolved electronic bands analysis indicates the non-trivial topological states. Through…

Materials Science · Physics 2023-02-07 NK Karn , VPS Awana

Using spin- and angle- resolved photoemission spectroscopy (spin-ARPES) together with ${\it ab~initio}$ calculations, we demonstrate the existence of a type-II Dirac semimetal state in NiTe$_2$. We show that, unlike PtTe$_2$, PtSe$_2$, and…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Barun Ghosh , Debashis Mondal , Chia-Nung Kuo , Chin Shan Lue , Jayita Nayak , Jun Fujii , Ivana Vobornik , Antonio Politano , Amit Agarwal

Two-dimensional states in confined thin films of the three-dimensional Dirac semimetal Cd3As2 are probed by transport and capacitance measurements under applied magnetic and electric fields. The results establish the two-dimensional Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Luca Galletti , Timo Schumann , Omor F. Shoron , Manik Goyal , David A. Kealhofer , Honggyu Kim , Susanne Stemmer

Condensed matter systems provide a rich setting to realize Dirac and Majorana fermionic excitations and the possibility to manipulate them in materials for potential applications. Recently, it has been proposed that Weyl fermions, which are…

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

Materials Science · Physics 2025-11-13 Alaska Subedi , Kamran Behnia

At the low energy regime, the decay rate of two-dimensional massless Dirac fermions due to interactions can be written as $\mathrm{Im}\Sigma(\omega) \propto |\omega|^{x}$ at zero temperature. We find that the fermion system has: I) no sharp…

Strongly Correlated Electrons · Physics 2010-04-13 Jing-Rong Wang , Guo-Zhu Liu

Since the discovery of graphene, layered materials have attracted extensive interests owing to their unique electronic and optical characteristics. Among them, Dirac semimetal, one of the most appealing categories, has been a long-sought…

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