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Ideal Sharvin contact in a multimode regime shows the conductance $G\approx{}G_{\rm Sharvin}=g_0k_F{}W/\pi$ (with $g_0$ the conductance quantum, $k_F$ the Fermi momentum, and $W$ the contact width) accompanied by strongly suppressed…

Mesoscale and Nanoscale Physics · Physics 2021-10-15 Adam Rycerz , Piotr Witkowski

We calculate the heat flux and electron-phonon thermal conductance in a disordered graphene sheet, going beyond a Fermi's Golden rule approach to fully account for the modification of the electron-phonon interaction by disorder. Using the…

Mesoscale and Nanoscale Physics · Physics 2013-02-05 Wei Chen , Aashish A. Clerk

We model disorder in graphene by random impurities treated in a coherent-potential approximation. Using the analytically solvable Lloyd model for the disorder distribution, we show that the temperature dependence of the minimum conductivity…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

We theoretically consider, comparing with the existing experimental literature, the electrical conductivity of gated monolayer graphene as a function of carrier density, temperature, and disorder in order to assess the prospects of…

Mesoscale and Nanoscale Physics · Physics 2013-01-28 S. Das Sarma , E. H. Hwang

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland

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…

High Energy Physics - Theory · Physics 2020-03-18 Marek Rogatko , Karol I. Wysokinski

We present exact results for the electronic transport properties of graphene sheets connected to two metallic electrodes. Our results, obtained by transfer-matrix methods, are valid for all sheet widths and lengths. In the limit of large…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Shijie Hu , Wei Du , Guiping Zhang , Miao Gao , Zhong-Yi Lu , Xiaoqun Wang

Ballistic graphene samples in a multimode regime show the sub-Sharvin charge transport, characterized by the conductance reduced by a factor of $\pi/4$ comparing to standard Sharvin contacts in two-dimensional electron gas, and the…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 Adam Rycerz , Piotr Witkowski

Based on a tight-binding model and a recursive Green's function technique, spin-depentent ballistic transport through tinny graphene sheets (flakes) is studied. The main interest is focussed on: electrical conductivity, giant…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Krompiewski

We calculate the shot noise generated by evanescent modes in graphene for several experimental setups. For two impurity-free graphene strips kept at the Dirac point by gate potentials, separated by a long highly doped region, we find that…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 A. D. Wiener , M. Kindermann

The problem of electrostatic screening of a charged line by undoped or weakly doped graphene is treated beyond the linear-response theory. The induced electron density is found to be approximately doping independent, n(x)~(log x)^2/x^2, at…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bor-Yuan Jiang , Michael M. Fogler

A tight-binding model with randomly fluctuating atomic positions is studied to discuss the effect of strong disorder in graphene. We employ a strong-disorder expansion for the transport quantities and find a diffusive behavior, where the…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 K. Ziegler

We employ the exact eigenstate basis formalism to study electrical conductivity in graphene, in the presence of short-range diagonal disorder and inter-valley scattering. We find that for disorder strength, $W \ge$ 5, the density of states…

Strongly Correlated Electrons · Physics 2015-05-28 Rajyavardhan Ray , Avinash Singh

We study time-dependent electron transport and quantum noise in a ballistic graphene field effect transistor driven by an ac gate potential. The non-linear response to the ac signal is computed through Floquet theory for scattering states…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Yevgeniy Korniyenko , Oleksii Shevtsov , Tomas Lofwander

We calculate the contribution of unscreened and screened scalar and vector potential electron acoustic phonon coupling to resistivity in disordered graphene through Keldysh Greens function method within the diffusive limit. We obtain…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 M Obaidurrahman , S S Z Ashraf

We present a detailed numerical study of the electronic transport properties of bilayer and trilayer graphene within a framework of single-electron tight-binding model. Various types of disorder are considered, such as resonant (hydrogen)…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

We study the transport properties of a neutral graphene sheet with curved regions induced or stabilized by topological defects. The proposed model gives rise to Dirac fermions in a random magnetic field and in the random space dependent…

Disordered Systems and Neural Networks · Physics 2013-05-29 Alberto Cortijo , Marí A. H. Vozmediano

We study transport properties of graphene nanostructures consisted of alternating slabs of gapless and gapped graphene in the presence of piecewise constant external potential equal to zero in the gapless regions. The transmission through…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 E. S. Azarova , G. M. Maksimova

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…

Mesoscale and Nanoscale Physics · Physics 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. M. R. Peres , J. M. B. Lopes dos Santos , T. Stauber