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We report a study of disorder effects on epitaxial graphene in the vicinity of the Dirac point by magneto-transport. Hall effect measurements show that the carrier density increases quadratically with temperature, in good agreement with…

The statistical properties of the carrier density profile of graphene in the ground state in the presence particle-particle interaction and random charged impurity in zero gate voltage has been recently obtained by Najafi \textit{et al.}…

统计力学 · 物理学 2018-07-18 M. N. Najafi , N. Ahadpour , J. Cheraghalizadeh , H. Dashti-Naserabadi

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

介观与纳米尺度物理 · 物理学 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby

We outline a Kohn-Sham-Dirac density-functional-theory (DFT) scheme for graphene sheets that treats slowly-varying inhomogeneous external potentials and electron-electron interactions on an equal footing. The theory is able to account for…

强关联电子 · 物理学 2008-09-23 Marco Polini , Andrea Tomadin , Reza Asgari , A. H. MacDonald

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…

介观与纳米尺度物理 · 物理学 2009-11-13 A. Qaiumzadeh , N. Arabchi , R. Asgari

Despite extensive existing studies, a complete understanding of the role of disorder in affecting the physical properties of two-dimensional Dirac fermionic systems remains a standing challenge, largely due to obstacles encountered in…

介观与纳米尺度物理 · 物理学 2023-08-04 Bo Fu , Yanru Chen , Weiwei Chen , Wei Zhu , Ping Cui , Qunxiang Li , Zhenyu Zhang , Qinwei Shi

We calculate the carrier density dependent ground state properties of graphene in the presence of random charged impurities in the substrate taking into account disorder and interaction effects non-perturbatively on an equal footing in a…

介观与纳米尺度物理 · 物理学 2008-10-17 Enrico Rossi , S. Das Sarma

We characterize the carrier density profile of the ground state of graphene in the presence of particle-particle interaction and random charged impurity for zero gate voltage. We provide detailed analysis on the resulting spatially…

介观与纳米尺度物理 · 物理学 2017-03-15 M. N. Najafi , M. Ghasemi Nezhadhaghighi

Using many-body diagrammatic perturbation theory we consider carrier density- and substrate-dependent many-body renormalization of doped or gated graphene induced by Coulombic electron-electron interaction effects. We quantitatively…

介观与纳米尺度物理 · 物理学 2013-02-11 S. Das Sarma , E. H. Hwang

We theoretically consider the effect of plasmon collective modes on the frequency-dependent conductivity of graphene in the presence of the random static potential of charged impurities. We develop an equation of motion approach suitable…

介观与纳米尺度物理 · 物理学 2013-08-09 K. Kechedzhi , S. Das Sarma

Thermodynamics coupled with quantum features on electron and hole dynamics in Dirac materials is quite interesting and crucial for real device applications. The correlation between the formation of electron-hole puddles in nearer to the…

介观与纳米尺度物理 · 物理学 2026-02-27 Karuppuchamy Navamani

In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

材料科学 · 物理学 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

介观与纳米尺度物理 · 物理学 2015-01-09 I. Kupcic

Two-dimensional carbon, or graphene, is a semi-metal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and…

强关联电子 · 物理学 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

We show that the many-body features of graphene band structure and electronic response can be accurately evaluated by applying many-body perturbation theory to a tight-binding (TB) model. In particular, we compare TB results for the optical…

原子与分子团簇 · 物理学 2025-06-10 Alberto Guandalini , Giovanni Caldarelli , Francesco Macheda , Francesco Mauri

We predict the existence of an intriguing "disorder by order" phenomenon in graphene transport where higher quality (and thus more ordered) samples, while having higher mobility at high carrier density, will manifest more strongly…

介观与纳米尺度物理 · 物理学 2012-05-25 S. Das Sarma , E. H. Hwang , Qiuzi Li

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

强关联电子 · 物理学 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

We demonstrate that the plasmon frequency and Drude weight of the electron liquid in a doped graphene sheet are strongly renormalized by electron-electron interactions even in the long-wavelength limit. This effect is not captured by the…

介观与纳米尺度物理 · 物理学 2011-07-19 Saeed H. Abedinpour , G. Vignale , A. Principi , Marco Polini , Wang-Kong Tse , A. H. MacDonald

The electronic properties of non-interacting particles moving on a two-dimensional bricklayer lattice are investigated numerically. In particular, the influence of disorder in form of a spatially varying random magnetic flux is studied. In…

无序系统与神经网络 · 物理学 2009-12-22 L. Schweitzer

We study conductance fluctuations (CF) and the sensitivity of the conductance to the motion of a single scatterer in two-dimensional massless Dirac systems. Our extensive numerical study finds limits to the predicted universal value of CF.…

介观与纳米尺度物理 · 物理学 2013-04-29 Mario F. Borunda , Jesse Berezovsky , Robert M. Westervelt , Eric J. Heller
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