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We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the…

介观与纳米尺度物理 · 物理学 2007-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity.…

介观与纳米尺度物理 · 物理学 2015-03-19 Guy Trambly de Laissardiere , Didier Mayou

We develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a Lorentz-invariant quantum critical point. Our framework is…

强关联电子 · 物理学 2016-02-24 Andrew Lucas , Jesse Crossno , Kin Chung Fong , Philip Kim , Subir Sachdev

The computation of the optical conductivity of strained and deformed graphene is discussed within the framework of quantum field theory in curved spaces. The analytical solutions of the Dirac equation in an arbitrary static background…

材料科学 · 物理学 2015-12-01 W. de Paula , a. Chaves , O. Oliveira , T. Frederico

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

介观与纳米尺度物理 · 物理学 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

Transport properties through wide and short ballistic graphene junctions are studied in the presence of arbitrary dopings and magnetic fields. No dependence on the magnetic field is observed at the Dirac point for any current cumulant, just…

介观与纳米尺度物理 · 物理学 2007-05-23 Elsa Prada , Pablo San-Jose , Bernhard Wunsch , Francisco Guinea

We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can move in all the plane $\RR^2$, the model takes the form of a…

偏微分方程分析 · 数学 2013-10-28 Raymond El Hajj , Florian Méhats

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 report on absolute magneto-transmission experiments on highly-doped quasi-free-standing epitaxial graphene targeting the classical-to-quantum crossover of the cyclotron resonance. This study allows us to directly extract the carrier…

介观与纳米尺度物理 · 物理学 2012-09-11 M. Orlita , I. Crassee , C. Faugeras , A. B. Kuzmenko , F. Fromm , M. Ostler , Th. Seyller , G. Martinez , M. Polini , M. Potemski

Two-dimensional Dirac fermions are used to discuss quasiparticles in graphene in the presence of impurity scattering. Transport properties are completely dominated by diffusion. This may explain why recent experiments did not find weak…

介观与纳米尺度物理 · 物理学 2007-05-23 Klaus Ziegler

A system of generalized kinetic equations for the distribution functions of two-dimensional Dirac fermions scattered by impurities is derived in the Born approximation with respect to short-range impurity potential. It is proven that the…

介观与纳米尺度物理 · 物理学 2011-01-14 M. Auslender , M. I. Katsnelson

We analyze the concept of causality for the conductivity of graphene described by the Dirac model. It is recalled that the condition of causality leads to the analyticity of conductivity in the upper half-plane of complex frequencies and to…

介观与纳米尺度物理 · 物理学 2018-04-11 G. L. Klimchitskaya , V. M. Mostepanenko

The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two…

介观与纳米尺度物理 · 物理学 2013-05-13 Alessandro Cresti , Frank Ortmann , Thibaud Louvet , Dinh Van Tuan , Stephan Roche

We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and…

材料科学 · 物理学 2016-07-13 G. L. Klimchitskaya , V. M. Mostepanenko

In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited to understand the effects of missing information linked to…

计算物理 · 物理学 2025-01-14 Andrea Medaglia , Giovanni Nastasi , Vittorio Romano , Mattia Zanella

Recently, Rodriguez-Lopez, Wang, and Antezza [Phys. Rev. B v.111, 115428 (2025)] compared the theoretical descriptions of electric conductivity of graphene given by the Kubo model and quantum field theory in terms of the polarization…

介观与纳米尺度物理 · 物理学 2026-05-21 M. Bordag , N. Khusnutdinov , G. L. Klimchitskaya , V. M. Mostepanenko

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

光学 · 物理学 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

介观与纳米尺度物理 · 物理学 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

The dynamic conductivity \sigma(\omega) of graphene in the presence of diagonal white noise disorder and quantizing magnetic field B is calculated. We obtain analytic expressions for \sigma(\omega) in various parametric regimes ranging from…

介观与纳米尺度物理 · 物理学 2013-06-04 U. Briskot , I. A. Dmitriev , A. D. Mirlin

Quantum point contacts (QPCs) are cornerstones of mesoscopic physics and central building blocks for quantum electronics. Although the Fermi wave-length in high-quality bulk graphene can be tuned up to hundreds of nanometers, the…