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We study the spin transport phenomena in two-dimensional graphene-like materials with arbitrary tilted Dirac cones. The tilt arises due to next-nearest hopping when the bottom of the conduction band and top of the valence band does not…

Strongly Correlated Electrons · Physics 2019-05-01 Debabrata Sinha

We propose a unified description of transport in graphene with adsorbates that fully takes into account localization effects and loss of electronic coherence due to inelastic processes. We focus in particular on the role of the scattering…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Guy Trambly De Laissardière , Didier Mayou

The conductance and the Fano factor in a graphene sheet in the ballistic regime are calculated. The electrostatic potential in the sheet is modeled by a trapezoid barrier, which allows to use the exact solution of the Dirac equation in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. B. Sonin

We investigate the photoconductivity of graphene within the relaxation time approximation. In presence of the inter-band transitions induced by the linearly polarized light the photoconductivity turns out to be highly anisotropic due to the…

Materials Science · Physics 2011-10-18 Maxim Trushin , John Schliemann

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

We investigate the conductivity of graphene sheet deformed over a gate. The effect of the deformation on the conductivity is twofold: The lattice distortion can be represented as pseudovector potential in the Dirac equation formalism,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. V. Medvedyeva , Ya. M. Blanter

It is known that fluctuations in the electrostatic potential allow for metallic conduction (nonzero conductivity in the limit of an infinite system) if the carriers form a single species of massless two-dimensional Dirac fermions. A nonzero…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 J. H. Bardarson , M. V. Medvedyeva , J. Tworzydlo , A. R. Akhmerov , C. W. J. Beenakker

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (due to, for example, neutral impurities) is mostly irrelevant for electronic quality of graphene,…

Mesoscale and Nanoscale Physics · Physics 2007-12-06 M. I. Katsnelson , A. K. Geim

We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

We study the coupling between mechanical motion and Dirac electrons in a dynamical sheet of graphene. We show that this coupling can be understood in terms of an effective gauge field acting on the electrons, which has two contributions:…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Mircea Trif , Pramey Upadhyaya , Yaroslav Tserkovnyak

In this review we focus on the effect of the Dirac nature of graphene quasiparticles on two separate aspects. The first of these involves transport across superconducting graphene junctions with barriers of thickness $d_0$ and arbitrary…

Strongly Correlated Electrons · Physics 2012-09-11 M. Maiti , K. Saha , K. Sengupta

We have utilized the finite-difference approach to explore electron-tunneling properties in gapped graphene through various electrostatic-potential barriers changing from Gaussian to a triangular envelope function in comparison with a…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

The Dirac equation in curved space is used to study the optical transmittance of deformed graphene along a given direction. Our theoretical analysis of the available experimental data for the light transmittance suggests that the periodic…

Mesoscale and Nanoscale Physics · Physics 2017-02-10 O. Oliveira , A. J. Chaves , W. de Paula , T. Frederico

We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

We transform the two-dimensional Dirac-Weyl equation, which governs the charge carriers in graphene, into a non-linear first-order differential equation for scattering phase shift, using the so-called variable phase method. This allows us…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 C. A. Downing , A. R. Pearce , R. J. Churchill , M. E. Portnoi

It has been shown in a recent study [Nguyen et al., Nanotechnol. \textbf{25}, 165201 (2014)] that unstrained/strained graphene junctions are promising candidates to improve the performance of graphene transistors that is usually hindered by…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Mai Chung Nguyen , Viet Hung Nguyen , Huy-Viet Nguyen , Philippe Dollfus

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

Electron scattering problem in the monolayer graphene with short-range impurities is considered. The main novel element in the suggested model is the band asymmetry of the defect potential in the 2+1-dimensional Dirac equation. This…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Natalie E. Firsova

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

The effect of charge-carrier screening on the transport properties of a neutral graphene sheet is studied by directly probing its electronic structure. We find that the Fermi velocity, Dirac point velocity, and overall distortion of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 David A. Siegel , William Regan , Alexei V. Fedorov , A. Zettl , Alessandra Lanzara