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The dynamical approach is applied to ballistic transport in mesoscopic graphene samples of length L and contact potential U. At times shorter than both relevant time scales, the flight time and \hslash/U, the major effect of the electric…

介观与纳米尺度物理 · 物理学 2015-05-28 M. Lewkowicz , B. Rosenstein , D. Nghiem

The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

介观与纳米尺度物理 · 物理学 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

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…

介观与纳米尺度物理 · 物理学 2013-11-28 Guy Trambly De Laissardière , Didier Mayou

The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual behavior as functions of frequency, chemical…

介观与纳米尺度物理 · 物理学 2008-11-26 V. P. Gusynin , S. G. Sharapov

We investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electron-hole coherence effects which stem from the chiral nature of low energy excitations. Relying on an analytical solution of the…

介观与纳米尺度物理 · 物理学 2011-11-10 Maxim Trushin , John Schliemann

Different scattering mechanisms in graphene are explored and conductivity is calculated within the Boltzmann transport theory. We provide results for short-range scattering using the Random Phase Approximation for electron screening, as…

介观与纳米尺度物理 · 物理学 2008-03-15 Shaffique Adam , E. H. Hwang , S. Das Sarma

We study the electric and thermal transport of the Dirac carriers in monolayer graphene using the Boltzmann-equation approach. Motivated by recent thermopower measurements [F. Ghahari, H.-Y.~Xie, T. Taniguchi, K. Watanabe, M.~S.~Foster, and…

介观与纳米尺度物理 · 物理学 2016-05-03 Hong-Yi Xie , Matthew S. Foster

The semiclassical Boltzmann equation is widely used to study transport effects. However, being semiclassical and borrowing heavily from classical mechanics, the formalism calls for verification from the perspective of quantum mechanics.…

介观与纳米尺度物理 · 物理学 2025-08-05 Da Ma , Zhi-Fan Zhang , Hua Jiang , X. C. Xie

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

强关联电子 · 物理学 2018-01-10 Andrew Lucas , Sean A. Hartnoll

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

介观与纳米尺度物理 · 物理学 2015-04-15 R. R. Brandão , L. Moriconi

We introduce a quasi-relativistic theory of quantum transport in graphene monolayer. It is based on the Dirac -- Hartry -- Fock self-consistent field approximation, assumption on lattice anti-ferromagnetic ordering and an approach…

介观与纳米尺度物理 · 物理学 2014-01-28 Halina V. Grushevskaya , George Krylov

Based on the numerical solution of the quantum lattice Boltzmann method in curved space, we predict the onset of a quantized alternating current on curved graphene sheets. Such numerical prediction is verified analytically via a set of…

介观与纳米尺度物理 · 物理学 2019-04-17 Kyriakos Flouris , Sauro Succi , Hans J. Herrmann

We consider the corrections to the Boltzmann theory of electrical transport arising from the Coulomb interaction in disordered conductors. In this article the theory is formulated in terms of quasiclassical Green's functions. We demonstrate…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Schwab , R. Raimondi

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

介观与纳米尺度物理 · 物理学 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

介观与纳米尺度物理 · 物理学 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

We study the conductivity of two-dimensional graphene-type materials with tilted cones as well as their three-dimensional Weyl counterparts and show that a covariant quantum Boltzmann equation is capable of providing an accurate description…

介观与纳米尺度物理 · 物理学 2019-09-04 Saber Rostamzadeh , İnanç Adagideli , M. O. Goerbig

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

介观与纳米尺度物理 · 物理学 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

We study the thermal and electric transport of a fluid of interacting Dirac fermions as they arise in single-layer graphene. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to…

介观与纳米尺度物理 · 物理学 2009-05-31 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for…

介观与纳米尺度物理 · 物理学 2011-11-09 M. I. Katsnelson

We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the…

量子物理 · 物理学 2020-07-01 J. R. Yusupov , K. K. Sabirov , Q. U. Asadov , M. Ehrhardt , D. U. Matrasulov