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The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response…

介观与纳米尺度物理 · 物理学 2014-07-28 Juan Sebastian Ardenghi , Pablo Bechthold , Paula Jasen , Estela Gonzalez , Alfredo Juan

We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero energy, where both sublattices decouple because of chiral…

介观与纳米尺度物理 · 物理学 2014-12-16 J. M. Luck , Y. Avishai

We develop an analytical mode-matching technique for the tight-binding model to describe electron transport across graphene P-N junctions. This method shares the simplicity of the conventional mode-matching technique for the low-energy…

介观与纳米尺度物理 · 物理学 2018-01-29 Shu-Hui Zhang , Wen Yang

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly…

介观与纳米尺度物理 · 物理学 2018-12-27 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal

The electron-hole plasma in charge-neutral graphene is predicted to realize a quantum critical system whose transport features a universal hydrodynamic description, even at room temperature. This quantum critical "Dirac fluid" is expected…

We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, $t$, and Planck's constant, $\hbar$, and allows a…

混沌动力学 · 物理学 2007-05-23 Daniel K. Wojcik , J. Robert Dorfman

For electron transport in parallel-plane semiconducting structures, a model is developed that unifies ballistic and diffusive transport and thus generalizes the Drude model. The unified model is valid for arbitrary magnitude of the mean…

材料科学 · 物理学 2009-11-07 R. Lipperheide , T. Weis , U. Wille

We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the…

介观与纳米尺度物理 · 物理学 2021-11-23 Alonso Contreras-Astorga , Vit Jakubsky , Alfredo Raya

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that…

混沌动力学 · 物理学 2015-06-18 Ch. G. Antonopoulos , T. Bountis , Ch. Skokos , L. Drossos

We have investigated electron dynamics in top gated graphene by measuring the gate admittance of a diffusive graphene capacitor in a broad frequency range as a function of carrier density. The density of states, conductivity and diffusion…

介观与纳米尺度物理 · 物理学 2011-03-24 E. Pallecchi , A. C. Betz , J. Chaste , G. Fève , B. Huard , T. Kontos , J. -M. Berroir , B. Plaçais

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

介观与纳米尺度物理 · 物理学 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby

At low values of external doping graphene displays a wealth of unconventional transport properties. Perhaps most strikingly, it supports a robust 'metallic' regime, with universal conductance of the order of the conductance quantum. We here…

介观与纳米尺度物理 · 物理学 2009-11-11 Alexander Altland

We study the transport properties of particles draining from a silo using imaging and direct particle tracking. The particle displacements show a universal transition from super-diffusion to normal diffusion, as a function of the distance…

软凝聚态物质 · 物理学 2007-05-23 Jaehyuk Choi , A. Kudrolli , R. R. Rosales , Martin Z. Bazant

We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accomodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment…

介观与纳米尺度物理 · 物理学 2014-05-13 A. De Martino , D. Kloepfer , D. Matrasulov , R. Egger

We have studied numerically the statistics for electronic states (level-spacings and participation ratios) from disordered graphene of finite size, described by the aspect ratio $W/L$ and various geometries, including finite or torroidal,…

无序系统与神经网络 · 物理学 2015-05-13 I. Amanatidis , S. N. Evangelou

We present calculations of electronic quantum transport in graphene nanoribbons with adsorbed H, F, OH and O, based on a tight binding model derived from extended Huckel theory. The relaxed atomic geometries of the adsorbates and graphene…

介观与纳米尺度物理 · 物理学 2011-06-29 S. Ihnatsenka , G. Kirczenow

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

介观与纳米尺度物理 · 物理学 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

We study the conductivity of graphene with a smooth but particle-hole-asymmetric disorder potential. Using perturbation theory for the weak-disorder regime and numerical calculations we investigate how the particle-hole asymmetry shifts the…

介观与纳米尺度物理 · 物理学 2016-01-12 Max Hering , Martin Schneider , Piet W. Brouwer

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

介观与纳米尺度物理 · 物理学 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

We present transport measurements on quantum dots of sizes 45, 60 and 80 nm etched with an Ar/O2-plasma into a single graphene sheet, allowing a size comparison avoiding effects from different graphene flakes. The transport gaps and…

介观与纳米尺度物理 · 物理学 2013-08-01 D. Kölbl , D. M. Zumbühl