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Related papers: Conformal mapping and shot noise in graphene

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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…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Grzegorz Rut , Adam Rycerz

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…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Adam Rycerz , Katarzyna Rycerz , Piotr Witkowski

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

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

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…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 Grzegorz Rut , Adam Rycerz

We calculate the mode-dependent transmission probability of massless Dirac fermions through an ideal strip of graphene (length L, width W, no impurities or defects), to obtain the conductance and shot noise as a function of Fermi energy. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tworzydlo , B. Trauzettel , M. Titov , A. Rycerz , C. W. J. Beenakker

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

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…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz

We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Crook , C. G. Smith , A. C. Graham , I. Farrer , H. E. Beere , D. A. Ritchie

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…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 Redwan N. Sajjad , Frank Tseng , K. M. Masum Habib , Avik W. Ghosh

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…

Mesoscale and Nanoscale Physics · Physics 2010-03-03 Adam Rycerz

Polygonal billiards are an example of pseudo-chaotic dynamics, a combination of integrable evolution and sudden jumps due to conical singular points that arise from the corners of the polygons. Such pseudo-chaotic behaviour, often…

Statistical Mechanics · Physics 2021-08-11 Jordan Orchard , Lamberto Rondoni , Carlos Mejia-Monasterio , Federico Frascoli

We have investigated electrical transport and shot noise in graphene field effect devices. In large width over length ratio $W/L$ graphene strips, we have measured shot noise at low frequency ($f$ = 600--850 MHz) in the temperature range of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Danneau , F. Wu , M. F. Craciun , S. Russo , M. Y. Tomi , J. Salmilehto , A. F. Morpurgo , P. J. Hakonen

In generic Hamiltonian systems with a mixed phase space chaotic transport may be directed and ballistic rather than diffusive. We investigate one particular model showing this behaviour, namely a spatially periodic billiard chain in which…

Chaotic Dynamics · Physics 2009-11-11 Holger Schanz , Manamohan Prusty

We investigate the wedge disclination effect on quantum tunneling of a Corbino disk in gapped-graphene of inner $R_1$ and outer $R_2$ radii in the presence of magnetic flux $\Phi_i$. We solve Dirac equation for different regions and obtain…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Ahmed Bouhlal , Ahmed Jellal , Mohamed Mansouri

A ballistic strip of graphene (width W>> length L) connecting two normal metal contacts is known to have a minimum conductivity of 4e^{2}/pi h at the Dirac point of charge neutrality. We calculate what happens if one of the two contacts…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 A. R. Akhmerov , C. W. J. Beenakker

We investigate the transport of electrons in disordered and pristine graphene devices. Fano shot noise, a standard metric to assess the mechanism for electronic transport in mesoscopic devices, has been shown to produce almost the same…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Mario F. Borunda , H. Hennig , Eric J. Heller

Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

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

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The conductance and the Fano factor in a graphene sheet in the ballistic regime are calculated. The electrostatic potential in the sheet is modeled by a trapezoid barrier, which allows to use the exact solution of the Dirac equation in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. B. Sonin
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