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Related papers: Delocalization of surface Dirac electrons in disor…

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We numerically investigate critically delocalized wavefunctions in models of 2D Dirac fermions, subject to vector potential disorder. These describe the surface states of 3D topological superconductors, and can also be realized through…

Disordered Systems and Neural Networks · Physics 2014-05-02 Yang-Zhi Chou , Matthew S. Foster

The surface conductivity for conduction electrons with a fixed chirality in a topological insulator with impurities scattering is considered. The surface excitations are described by the Weyl Hamiltonian. For a finite chemical potential one…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 D. Schmeltzer

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Takashi Arita , Yositake Takane

We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a line-like energy dispersion along certain directions of the surface Brillouin zone. These…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Alexander Lau , Carmine Ortix , Jeroen van den Brink

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

A weak topological insulator (WTI) bears, generally, an even number of Dirac cones on its surface; they are susceptible of doubling, while on the surface of a certain orientation it shows no Dirac cone. On this "dark" surface of a WTI, we…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Yukinori Yoshimura , Akihiko Matsumoto , Yositake Takane , Ken-Ichiro Imura

The Seebeck coefficient is examined for two-dimensional Dirac electrons in the three-quarter filled organic conductor alpha-(BEDT-TTF)_2I_3 under hydrostatic pressure, where the Seebeck coefficient is proportional to the ratio of the…

Mesoscale and Nanoscale Physics · Physics 2024-04-10 Yoshikazu Suzumura , Takao Tsumuraya , Masao Ogata

We investigate the effects of quenched disorder on a non-interacting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type-I) or Fermi lines (type-II).…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yu-Li Lee , Yu-Wen Lee

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

We report magnetotransport studies on a gated strained HgTe device. This material is a threedimensional topological insulator and exclusively shows surface state transport. Remarkably, the Landau level dispersion and the accuracy of the…

Three-dimensional doped Dirac insulators foster simply connected (in both topological and trivial regimes) and annular (deep inside the topological regime) Fermi surfaces (FSs) in the normal state, and allow on-site repulsions among…

Mesoscale and Nanoscale Physics · Physics 2024-11-06 Andras L. Szabo , Bitan Roy

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 study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. In the clean system, the density of states vanishes quadratically at the Dirac point. Disorder is known to be perturbatively irrelevant, and…

Statistical Mechanics · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

We study the effect of disorder on massless, spinful Dirac fermions in two spatial dimensions with attractive interactions, and show that the combination of disorder and attractive interactions is deadly to the Dirac semimetal phase. First,…

Strongly Correlated Electrons · Physics 2013-05-15 Rahul Nandkishore , Joseph Maciejko , David A. Huse , S. L. Sondhi

The massless Dirac electrons found at topological insulator surfaces are thought to be influenced very little by weak, non-magnetic disorder. However, a resonance effect of strongly perturbing non-magnetic impurities has been theoretically…

Possible superconductivity of electrons with the Dirac spectrum is analyzed using the BCS model. We calculate the critical temperature, the superconducting energy gap, and supercurrent as functions of the doping level and of the pairing…

Superconductivity · Physics 2019-10-04 N. B. Kopnin , E. B. Sonin

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Quantum transport in three-dimensional massless Dirac electron system with long-range Gaussian impurities is studied theoretically using a self-consistent Born approximation (SCBA). We find that the conductivity significantly changes the…

Disordered Systems and Neural Networks · Physics 2014-02-25 Yuya Ominato , Mikito Koshino

Based on a self-consistent $t$-matrix approximation, we explore the influence of magnetic and nonmagnetic doping on the surface electronic states and conductivity of topological insulators. We show that warping parameter has a crucial…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Masomeh Arabikhah , Alireza Saffarzadeh

We study transport across a time-dependent magnetic barrier present on the surface of a three-dimensional topological insulator. We show that such a barrier can be implemented for Dirac electrons on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Adithi Udupa , K. Sengupta , Diptiman Sen