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The quanta of electrical conductance is derived for a one-dimensional electron gas both by making use of the quasi-classical motion of a quantum fluid and by using arguments related to the uncertainty principle. The result is extended to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Apostol

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

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. I. Katsnelson , K. S. Novoselov

One-dimensional quantized conductance is derived from the electrons in a homogeneous electric field by calculating the traveling time of the accelerated motion and the number of electrons in the one-dimensional region. As a result, the…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Daiju Terasawa

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

We studied theoretically ballistic electronic transport in a proposed mesoscopic structure - Quantum Cable. Our results demonstrated that Qauntum Cable is a unique structure for the study of mesoscopic transport. As a function of Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , Y. Xiang , L. D. Zhang

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…

Usually the conductivity is quantized as the inverse of the resistivity, \rho=hc/ie^2, \sigma=ie^2/hc and the velocity versus the electric field is linear, v=\mu E where \mu is the mobility of the electrons.However,when the applied electric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower…

Mesoscale and Nanoscale Physics · Physics 2008-08-14 Lars Fritz , Joerg Schmalian , Markus Mueller , Subir Sachdev

We consider the role of the third dimension in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Levanda , V. Fleurov

We investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electron-hole coherence effects which stem from the chiral nature of low energy excitations. Relying on an analytical solution of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Maxim Trushin , John Schliemann

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…

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

We use linear-response theory to evaluate the frequency-dependent conductivity of a system subject to a continuous quantum measurement of the current. Application of this formalism to graphene yields a consistent framework for discussing…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. Z. Bernad , M. Jaaskelainen , U. Zuelicke

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…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

We report on measurements of the quantum capacitance in graphene as a function of charge carrier density. A resonant LC-circuit giving high sensitivity to small capacitance changes is employed. The density of states, which is directly…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 S. Dröscher , P. Roulleau , F. Molitor , P. Studerus , C. Stampfer , T. Ihn , K. Ensslin

When electrons are confined to move in a plane, strange things happen. For example, under normal circumstances, they are not expected to conduct electricity at low temperatures. However, recent experiments on a dilute electron gas confined…

Strongly Correlated Electrons · Physics 2009-10-31 Philip Phillips , Subir Sachdev , Sergey Kravchenko , Ali Yazdani

Magnetic barriers in graphene are not easily tunable. However, introducing both electric and magnetic fields, provides tunable and far more controllable electronic states in graphene. Here we study such systems. A one-dimensional channel…

Mesoscale and Nanoscale Physics · Physics 2010-02-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

The observation of quantum conductance oscillations in mesoscopic systems has traditionally required the confinement of the carriers to a phase space of reduced dimensionality. While electron optics such as lensing and focusing have been…

Mesoscale and Nanoscale Physics · Physics 2009-03-20 Andrea F. Young , Philip Kim
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