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An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the…

介观与纳米尺度物理 · 物理学 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We study the thermal and electric transport of a fluid of interacting Dirac fermions using a Boltzmann approach. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to describe both…

强关联电子 · 物理学 2009-11-13 Markus Mueller , Lars Fritz , Subir Sachdev

Using the semi-classical Boltzmann theory, we calculate the conductivity as function of the carrier density. As usually, we include the scattering from charged impurities, but conclude that the estimated impurity density is too low in order…

介观与纳米尺度物理 · 物理学 2009-11-13 T. Stauber , N. M. R. Peres , F. Guinea

We investigate quantum transport in a normal/superconductor graphene heterostructure, including the possibility of an anisotropic pairing potential in the superconducting region. We find that under certain circumstances, the conductance…

超导电性 · 物理学 2009-11-13 J. Linder , A. Sudbø

We find that the empirical relation between the longitudinal and Hall resistivities (i.e. Rxx and Rxy) and its counterpart between the Seebeck and Nernst coefficients (i.e. Sxx and Sxy), both originally discovered in two-dimensional…

介观与纳米尺度物理 · 物理学 2015-06-03 Xinfei Liu , Zhongshui Ma , Jing Shi

We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assuming the electric potential to have steep variations within a…

数学物理 · 物理学 2020-06-02 Luigi Barletti , Claudia Negulescu

We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. A salient feature of our review is a…

介观与纳米尺度物理 · 物理学 2015-03-13 S. Das Sarma , Shaffique Adam , E. H. Hwang , Enrico Rossi

Charge carriers in graphene are chiral quasiparticles ("massless Dirac fermions"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one…

介观与纳米尺度物理 · 物理学 2011-05-12 M. I. Katsnelson

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

介观与纳米尺度物理 · 物理学 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty

The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical…

介观与纳米尺度物理 · 物理学 2009-11-13 E. Cappelluti , L. Benfatto

Graphene has proven to host outstanding mesoscopic effects involving massless Dirac quasiparticles travelling ballistically resulting in the current flow exhibiting light-like behaviour. A new branch of 2D electronics inspired by the…

介观与纳米尺度物理 · 物理学 2018-08-22 Gaetano Calogero , Nick R. Papior , Peter Bøggild , Mads Brandbyge

We develop a theory for the compressibility and quantum capacitance of disordered monolayer and bilayer graphene including the full hyperbolic band structure and band gap in the latter case. We include the effects of disorder in our theory,…

介观与纳米尺度物理 · 物理学 2011-03-09 D. S. L. Abergel , E. H. Hwang , S. Das Sarma

The carrier mobility of a graphene double-layer system is evaluated on the basis of the Boltzmann transport theory. In this system, two graphene layers are separated by a dielectric barrier layer. We focus on the cases in which there is…

介观与纳米尺度物理 · 物理学 2014-12-08 Kazuhiro Hosono , Katsunori Wakabayashi

The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal-insulator…

高能物理 - 理论 · 物理学 2020-03-18 Marek Rogatko , Karol I. Wysokinski

In this paper we carry out a theoretical and experimental study of the nature of graphene/semiconductor Schottky contact. We present a simple and parameter-free carrier transport model of graphene/semiconductor Schottky contact derived from…

介观与纳米尺度物理 · 物理学 2017-01-24 Shi-Jun Liang , Lay Kee Ang

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

介观与纳米尺度物理 · 物理学 2010-09-03 M. A. Laakso , T. T. Heikkilä

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

高能物理 - 理论 · 物理学 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

The phase space for graphene's minimum conductivity $\sigma_\mathrm{min}$ is mapped out using Landauer theory modified for scattering using Fermi's Golden Rule, as well as the Non-Equilibrium Green's Function (NEGF) simulation with a Monte…

介观与纳米尺度物理 · 物理学 2015-11-11 Redwan N. Sajjad , Frank Tseng , K. M. Masum Habib , Avik W. Ghosh

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A quantum region (an asymptotically thin strip around the…

数学物理 · 物理学 2017-01-19 Luigi Barletti , Claudia Negulescu