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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…

Materials Science · Physics 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

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

We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , E. M. Santangelo

We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , Paola Giacconi , E. M. Santangelo , Roberto Soldati

The quantum capacitance model is applied to obtain an exact solution for the space-resolved carrier density in a multigated doped graphene sheet at zero temperature, with quantum correction arising from the finite electron capacity of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Ming-Hao Liu

Non-Hermitian band descriptions capture how loss, gain, and environmental coupling reshape quantum matter, yet most experimental tests rely on wave-based or dynamical probes. Here we establish a new equilibrium route to exceptional physics…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Juan Pablo Esparza , Francisco J. Peña , Patricio Vargas , Vladimir Juričić

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

We calculate the quasiparticle properties of chiral two-dimensional Dirac electrons in graphene within the Landau Fermi Liquid scheme based on $GW$ approximation in the presence of disorder. Disorder effects due to charged impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Qaiumzadeh , N. Arabchi , R. Asgari

At low energies, electrons in doped graphene sheets are described by a massless Dirac fermion Hamiltonian. In this work we present a semi-analytical expression for the dynamical density-density linear-response function of noninteracting…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. R. Ramezanali , M. M. Vazifeh , Reza Asgari , Marco Polini , A. H. MacDonald

Many-body effects on quantum capacitance, compressibility, renormalized Fermi velocity, kinetic and interaction energies of massless Dirac electrons in graphene, induced by the Coulomb interactions, are analyzed theoretically in the…

Mesoscale and Nanoscale Physics · Physics 2015-02-24 Yu. E. Lozovik , A. A. Sokolik , A. D. Zabolotskiy

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use…

When electrons are confined in a two dimensional (2D) system, typical quantum mechanical phenomena such as Landau quantization can be detected. Graphene systems, including the single atomic layer and few-layer stacked crystals, are ideal 2D…

Mesoscale and Nanoscale Physics · Physics 2017-03-14 Long-jing Yin , Ke-ke Bai , Wen-xiao Wang , Si-Yu Li , Yu Zhang , Lin He

In this work, we present a semi-analytical expression for the temperature dependence of a spin-resolved dynamical density-density response function of massless Dirac fermions within the Random Phase Approximation. This result is crucial in…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. Faridi , M. Pashangpour , Reza Asgari

We consider quantum pumping of Dirac fermions in a monolayer of graphene in the presence of a perpendicular magnetic field in the central pumping region. The two external pump parameters are electrical voltages applied to the graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2011-01-11 Rakesh P. Tiwari , M. Blaauboer

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…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 M. V. Cheremisin

We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field $B$ and a proximity-induced pairing gap $\Delta$. When the chemical potential is at the Dirac point, our exact solution of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-30 L. Cohnitz , A. De Martino , W. Häusler , R. Egger

We derive the single-particle eigenenergies and eigenfunctions for massless Dirac fermions confined to the surface of a sphere in the presence of a magnetic monopole, i.e., we solve the Landau level problem for electrons in graphene on the…

Strongly Correlated Electrons · Physics 2016-07-06 Michael Arciniaga , Michael R. Peterson

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 L. A. Ponomarenko , R. Yang , R. V. Gorbachev , P. Blake , M. I. Katsnelson , K. S. Novoselov , A. K. Geim

Microscopic quantum theory of nonlinear stimulated scattering of 2D Dirac particles in doped graphene on Coulomb field of impurity ions at the presence of an external strong coherent electromagnetic radiation is developed. We consider high…

Mesoscale and Nanoscale Physics · Physics 2017-10-27 A. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , B. R. Avchyan

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…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 George S. Kliros
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