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We present evidence that two dimensional Dirac fermions in the presence of random Abelian gauge potential exhibit a phase transition when the disorder strength exceeds a certain critical value. We argue that this phase transition has novel…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Gurarie

Quantum coherent transport of Dirac fermions in a mesoscopic nanowire of the 3D topological insulator Bi2Se3 is studied in the weak-disorder limit. At very low temperatures, many harmonics are evidenced in the Fourier transform of…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 J. Dufouleur , L. Veyrat , A. Teichgraeber , S. Neuhaus , C. Nowka , S. Hampel , J. Cayssol , J. Schumann , B. Eichler , O. Schmidt , B. Buechner , R. Giraud

We perform mean-field study of possible magnetic instabilities in Dirac semimetals. We find that Dirac electrons naturally host antiferromagnetic or spin density wave ground states, though their specific configurations may vary depending on…

Strongly Correlated Electrons · Physics 2020-09-23 Grigory Bednik

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

We investigate electrical transport in a three-dimensional massless Dirac fermion model that describes a Dirac semimetal state realized in topological materials. We derive a set of interdependent diffusion equations with eight local degrees…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 Nobuyuki Okuma , Masao Ogata

Influence of weak nonmagnetic impurities on the single-particle density of states $\rho(\omega)$ of two-dimensional electron systems with a conical spectrum is studied. We use a nonperturbative approach, based on replica trick with…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. M. Tsvelik , F. Wenger

Originating from relativistic quantum field theory, Dirac fermions have been recently applied to study various peculiar phenomena in condensed matter physics, including the novel quantum Hall effect in graphene, magnetic field driven…

Strongly Correlated Electrons · Physics 2008-04-10 S. Y. Zhou , G. -H. Gweon , J. Graf , A. V. Fedorov , C. D. Spataru , R. D. Diehl , Y. Kopelevich , D. -H. Lee , Steven G. Louie , A. Lanzara

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…

Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

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

We report anomalous quantum transport features in bilayer graphene in presence of a random distribution of structural vacancies. By using an efficient real-space Kubo-Greenwood transport methodology, the impact of a varying density of dimer…

Mesoscale and Nanoscale Physics · Physics 2016-03-11 Dinh Van Tuan , Stephan Roche

Exotic properties in single or few layers of van der Waals materials carry great promise for applications in nanoscaled electronics, optoelectronics and flexible devices. The established, distinct examples include extremely high mobility…

Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the influence of disorder on chiral states is not fully clarified so…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Yositake Takane

Topological Dirac semimetals are a class of semimetals that host symmetry-protected Dirac points near the Fermi level, which arise due to a band inversion of the conduction and valence bands. In this work, we study the less explored class…

Materials Science · Physics 2021-06-02 Heng Gao , Jeremy Strockoz , Mario Frakulla , Jörn W. F. Venderbos , Hongming Weng

Lately, the three-dimensional (3D) Dirac semimetal, which possesses 3D linear dispersion in electronic structure as a bulk analogue of graphene, has generated widespread interests in both material science and condensed matter physics. Very…

Superconductivity · Physics 2015-12-31 He Wang , Huichao Wang , Haiwen Liu , Hong Lu , Wuhao Yang , Shuang Jia , Xiong-Jun Liu , X. C. Xie , Jian Wei , Jian Wang

Using an exact mapping to disordered Coulomb gases, we introduce a novel method to study two dimensional Dirac fermions with quenched disorder in two dimensions which allows to treat non perturbative freezing phenomena. For purely random…

Condensed Matter · Physics 2009-11-07 Baruch Horovitz , Pierre Le Doussal

A topological Dirac semimetal is a novel state of quantum matter which has recently attracted much attention as an apparent 3D version of graphene. In this paper, we report critically important results on the electronic structure of the 3D…

We theoretically study intrinsic superconductivity in doped Dirac semimetals. Dirac semimetals host bulk Dirac points, which are formed by doubly degenerate bands, so the Hamiltonian is described by a $4 \times 4$ matrix and six types of…

Superconductivity · Physics 2016-07-19 Tatsuki Hashimoto , Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

Dirac semimetals have attracted a great deal of current interest due to their potential applications in topological quantum computing, low-energy electronic applications, and single photon detection in the microwave frequency range. Herein…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 W. Yu , D. X. Rademacher , N. R. Valdez , M. A. Rodriguez , T. M. Nenoff , W. Pan

Magic-angle twisted bilayer graphene (TBG) exhibits a captivating phase diagram as a function of doping, featuring superconductivity and a variety of insulating and magnetic states. The bands host Dirac fermions with a reduced Fermi…

Strongly Correlated Electrons · Physics 2023-08-03 Julian Ingham , Tommy Li , Mathias S. Scheurer , Harley D. Scammell