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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

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…

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

Electron transport through the Corbino disk in graphene is studied in the presence of uniform magnetic fields. At the Dirac point, we observe conductance oscillations with the flux piercing the disk area $\Phi_d$, characterized by the…

介观与纳米尺度物理 · 物理学 2010-03-03 Adam Rycerz

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in…

介观与纳米尺度物理 · 物理学 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

Quantum transport through an impurity-free Corbino disk in bilayer graphene is investigated analytically, by the mode-matching method for effective Dirac equation, in the presence of uniform magnetic fields. Similarly as in the monolayer…

介观与纳米尺度物理 · 物理学 2014-11-07 Grzegorz Rut , Adam Rycerz

We provide a theoretical study of the conductance response of systems based on graphene nanoribbon to the potential of a scanning probe. The study is based on the Landauer approach for the tight-binding Hamiltonian with an implementation of…

介观与纳米尺度物理 · 物理学 2015-07-02 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran

In transport experiments the quantum nature of matter becomes directly evident when changes in conductance occur only in discrete steps, with a size determined solely by Planck's constant h. The observations of quantized steps in the…

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

Recently, an exotic quantum Hall ferromagnet with spin-filtered helical edge modes was observed in monolayer graphene on a high-dielectric constant substrate at moderate magnetic fields, withstanding temperatures of up to 110 Kelvin [L.…

无序系统与神经网络 · 物理学 2023-09-13 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

We study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

介观与纳米尺度物理 · 物理学 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

We study analytically and numerically the magnetotransport of strained graphene in a Corbino geometry gating in the presence of an external perpendicular magnetic field. The conductance of the Corbino disc of deformed graphene with a…

介观与纳米尺度物理 · 物理学 2015-06-17 Zahra Khatibi , Habib Rostami , Reza Asgari

We report the experimental observation of conductance quantization in graphene nanoribbons, where 1D transport subbands are formed due to the lateral quantum confinement. We show that this quantization in graphene nanoribbons can be…

介观与纳米尺度物理 · 物理学 2008-12-18 Yu-Ming Lin , Vasili Perebeinos , Zhihong Chen , Phaedon Avouris

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

介观与纳米尺度物理 · 物理学 2025-05-01 Adam Rycerz

We present the results of million atom electronic quantum transport calculations for graphene nanoconstrictions with edges that are smooth apart from atomic scale steps. We find conductances quantized in integer multiples of 2e2/h and a…

介观与纳米尺度物理 · 物理学 2015-06-04 S. Ihnatsenka , G. Kirczenow

We study the effects of the long-range disorder potential and warping on the conductivity and mobility of graphene ribbons using the Landauer formalism and the tight-binding p-orbital Hamiltonian. We demonstrate that as the length of the…

介观与纳米尺度物理 · 物理学 2015-05-14 J. W. Klos , A. A. Shylau , I. V. Zozoulenko , Hengyi Xu , T. Heinzel

Highly-doped graphene samples show the conductance reduced and the shot-noise power enhanced compared to standard ballistic systems in two-dimensional electron gas. These features can be understood within a model assuming incoherent…

介观与纳米尺度物理 · 物理学 2024-06-25 Adam Rycerz , Katarzyna Rycerz , Piotr Witkowski

Using the transfer matrix in the angular-momentum space we investigate the impact of trigonal warping on magnetotransport and scaling properties of a ballistic bilayer graphene in the Corbino geometry. Although the conductivity at the…

介观与纳米尺度物理 · 物理学 2016-02-15 Grzegorz Rut , Adam Rycerz

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

In graphene, the extremely fast charge carriers can be controlled by electron-optical elements, such as waveguides, in which the transmissivity is tuned by the wavelength. In this work, charge carriers are guided in a suspended ballistic…

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