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This article aims at providing a self-contained introduction to theoretical modeling of gate-induced carrier density in graphene sheets. For this, relevant theories are introduced, namely, classical capacitance model (CCM), self-consistent…

介观与纳米尺度物理 · 物理学 2013-06-18 Ming-Hao Liu

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…

介观与纳米尺度物理 · 物理学 2010-07-28 S. Dröscher , P. Roulleau , F. Molitor , P. Studerus , C. Stampfer , T. Ihn , K. Ensslin

The quantum capacitance of the monolayer graphene for arbitrary carrier density, magnetic field and temperature is found. The density dependence of the quantum capacitance is analyzed for magnetic field(temperature) is fixed(varied) and…

介观与纳米尺度物理 · 物理学 2023-11-21 M. V. Cheremisin

We study the ground-state properties of a double layer graphene system with the Coulomb interlayer electron-electron interaction modeled within the random phase approximation. We first obtain an expression of the quantum capacitance of a…

材料科学 · 物理学 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

We present extensive numerical results for the thermodynamic density of states (i.e. quantum capacitance) of a two-dimensional massless Dirac fermion fluid in a doped graphene sheet. In particular, by employing the random phase…

介观与纳米尺度物理 · 物理学 2014-10-23 Reza Asgari , Mikhail I. Katsnelson , Marco Polini

We develop a theory for the compressibility and quantum capacitance of disordered monolayer and bilayer graphene including the full hyperbolic band structure and band gap in the latter case. We include the effects of disorder in our theory,…

介观与纳米尺度物理 · 物理学 2011-03-09 D. S. L. Abergel , E. H. Hwang , S. Das Sarma

We discuss the residual carrier density (n*) near the Dirac point (DP) in graphene estimated by quantum capacitance (CQ) and conductivity measurements. The CQ at the DP has a finite value and is independent of the temperature. A similar…

材料科学 · 物理学 2013-07-04 K. Nagashio , T. Nishimura , A. Toriumi

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…

介观与纳米尺度物理 · 物理学 2014-03-28 Sergey Slizovskiy

Graphene nanostructures exhibit an intrinsic advantage in relation to the gate delay in three-terminal devices and provide additional benefits when operate in the quantum capacitance limit. In this paper, we developed a simple model that…

介观与纳米尺度物理 · 物理学 2011-08-02 George S. Kliros

We experimentally investigate the charge induction mechanism across gated, narrow, ballistic graphene devices with different degrees of edge disorder. By using magnetoconductance measurements as the probing technique, we demonstrate that…

We have investigated the quantum capacitance ($C_Q$) in functionalized graphene, modified with ad-atoms from different groups in the periodic table. Changes in the electronic band structure of graphene upon functionalization and…

材料科学 · 物理学 2019-06-17 Sruthi T , Kartick Tarafder

We investigate doping of a single-layer graphene in the presence of electrolytic top gating. The interfacial phenomena is modeled using a modified Poisson-Boltzmann equation for an aqueous solution of simple salt. We demonstrate both the…

介观与纳米尺度物理 · 物理学 2010-06-10 Z. L. Miskovic , N. Upadhyaya

Recent low-temperature electron transport experiments in high-quality graphene rely on a technique of doped graphene leads, where the coupling between the graphene flake and its metallic contacts is increased by locally tuning graphene to…

The Chalker-Coddington network model (introduced originally as a model for percolation in the quantum Hall effect) is known to map onto the two-dimensional Dirac equation. Here we show how the network model can be used to solve a scattering…

介观与纳米尺度物理 · 物理学 2008-09-17 I. Snyman , J. Tworzydlo , C. W. J. Beenakker

We have developed a technique to tune the carrier density in graphene using a lithium-ion-based solid electrolyte. We demonstrate that the solid electrolyte can be used as both a substrate to support graphene and a back gate.It can induce a…

材料科学 · 物理学 2016-10-25 Jialin Zhao , Meng Wang , Hui Li , Xuefu Zhang , Lixing You , Shan Qiao , Bo Gao , Xiaoming Xie , Mianheng Jiang

In this chapter, semi-analytical models for the calculation of the quantum capacitance of both monolayer and bilayer graphene and its nanoribbons, are presented. Since electron-hole puddles are experimental facts in all graphene samples,…

介观与纳米尺度物理 · 物理学 2016-09-07 George S. Kliros

We consider gated graphene nanoribbons subject to Berry-Mondragon boundary conditions in the presence of weak impurities. Using field--theoretical methods, we calculate the density of charge carriers (and, thus, the quantum capacitance) as…

介观与纳米尺度物理 · 物理学 2014-03-07 C. G. Beneventano , I. V. Fialkovsky , E. M. Santangelo , D. V. Vassilevich

In this work, fundamental results for carrier statistics in graphene 2-dimensional sheets and nanoscale ribbons are derived. Though the behavior of intrinsic carrier densities in 2d graphene sheets is found to differ drastically from…

材料科学 · 物理学 2009-11-13 Tian Fang , Aniruddha Konar , Huili Xing , Debdeep Jena

We fabricate a graphene p-n-p heterojunction and exploit the coherence of weakly-confined Dirac quasiparticles to resolve the underlying scattering potential using low temperature scanning gate microscopy. The tip-induced perturbation to…

介观与纳米尺度物理 · 物理学 2015-09-16 E. D. Herbschleb , R. K. Puddy , P. Marconcini , J. P. Griffiths , G. A. C. Jones , M. Macucci , C. G. Smith , M. R. Connolly

We theoretically analyze the possibility to confine electrons in single-layer graphene with the help of metallic gates, via the evaluation of the density of states of such a gate-defined quantum dot in the presence of a ring-shaped metallic…

介观与纳米尺度物理 · 物理学 2015-06-19 Martin Schneider , Piet W. Brouwer
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