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We present a current and charge conserving theory for the low frequency admittance of a two-dimensional electron gas connected to ideal metallic contacts and subject to a quantizing magnetic field. In the framework of the edge-channel…

Condensed Matter · Physics 2009-10-28 T. Christen , M. Buttiker

Realizing graphene's promise as an atomically thin and tunable platform for fundamental studies and future applications in quantum transport requires the ability to electrostatically define the geometry of the structure and control the…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Rebeca Ribeiro-Palau , Shaowen Chen , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

Graphene is an attractive electrode material to contact nanostructures down to the molecular scale since it can be gated electrostatically. Gating can be used to control the doping and the energy level alignment in the nanojunction, thereby…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Nick R. Papior , Tue Gunst , Daniele Stradi , Mads Brandbyge

We discuss the fact that quantum capacitance of graphene-based devices leads to variation of it's charge density under changes of external magnetic field.The charge is conserved, but redistributes to substrate or other graphene sheet. We…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 Sergey Slizovskiy

A double quantum dot is formed in a graphene nanoribbon device using three top gates. These gates independently change the number of electrons on each dot and tune the inter-dot coupling. Transport through excited states is observed in the…

Mesoscale and Nanoscale Physics · Physics 2010-05-13 Xing Lan Liu , Dorothee Hug , Lieven M. K. Vandersypen

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

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

The potential of graphene-based materials consisting of one or a few layers of graphite for integrated electronics originates from the large room-temperature carrier mobility in these systems (approx. 10,000 cm2/Vs). However, the…

Mesoscale and Nanoscale Physics · Physics 2007-12-04 Jeroen B. Oostinga , Hubert B. Heersche , Xinglan Liu , Alberto F. Morpurgo , Lieven M. K. Vandersypen

The field-effect mobility of graphene devices is discussed. We argue that the graphene ballistic mean free path can only be extracted by taking into account both, the electrical characteristics and the channel length dependent mobility. In…

Mesoscale and Nanoscale Physics · Physics 2016-11-17 Zhihong Chen , Joerg Appenzeller

Various mesoscopic devices exploit electrostatic side gates for their operation. In this paper, we investigate how voltage-biasing of graphene side gates modulates the electrical transport characteristics of graphene channel. We explore…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Ching-Tzu Chen , Tony Low , Hsin-Ying Chiu , Wenjuan Zhu

We measure the frequency dependent capacitance of a gate covering the edge and part of a two-dimensional electron gas in the quantum Hall regime. In applying a positive gate bias, we create a metallic puddle under the gate surrounded by an…

Condensed Matter · Physics 2010-03-12 N. B. Zhitenev , M. Brodsky , R. C. Ashoori , M. R. Melloch

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…

We develop a hydrodynamic theory of charge and heat currents induced by traveling waves, such as surface acoustic waves, in graphene devices near charge neutrality. The currents depend on the intrinsic conductivity and viscosity of the…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 E. Kirkinis , A. Levchenko , A. V. Andreev

The unique capabilities of capacitance measurements in bilayer graphene enable probing of layer-specific properties that are normally out of reach in transport measurements. Furthermore, capacitance measurements in the top-gate and…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Andrea F. Young , Leonid S. Levitov

The superior intrinsic properties of graphene have been a key research focus for the past few years. However, external components, such as metallic contacts, serve not only as essential probing elements, but also give rise to an effective…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Yanqing Wu , Vasili Perebeinos , Yu-ming Lin , Tony Low , Fengnian Xia , Phaedon Avouris

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

We study the effects of electrostatic gating on the lateral distribution of charge carriers in two dimensional devices, in a non-linear dielectric environment. We compute the charge distribution using the Thomas-Fermi approximation to model…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 Eylon Persky , Hyeok Yoon , Yanwu Xie , Harold Y. Hwang , Jonathan Ruhman , Beena Kalisky

This letter investigates low frequency 1/ f noise in hBN encapsulated graphene device in a dual gated geometry. The noise study is performed as a function of top gate carrier density (nT G) at different back gate densities (nBG). The noise…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Aaryan Mehra , Roshan Jesus Mathew , Chandan Kumar

We study the conductivity of a graphene strip taking into account electrostatically-induced charge accumulation on its edges. Using a local dependency of the conductivity on the carrier concentration we find that the electrostatic size…

Mesoscale and Nanoscale Physics · Physics 2010-12-09 F. T. Vasko , I. V. Zozoulenko

We report the first experimental study of the quantum interference correction to the conductivity of bilayer graphene. Low-field, positive magnetoconductivity due to the weak localisation effect is investigated at different carrier…

Mesoscale and Nanoscale Physics · Physics 2007-08-14 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko