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We present the theory of many-body corrections to cyclotron transition energies in graphene in strong magnetic field due to Coulomb interaction, considered in terms of the renormalized Fermi velocity. A particular emphasis is made on the…

介观与纳米尺度物理 · 物理学 2019-02-27 Alexey A. Sokolik , Yurii E. Lozovik

We study the energy of quasi-particles in graphene within the Hartree-Fock approximation. The quasi-particles are confined via an inhomogeneous magnetic field and interact via the Coulomb potential. We show that the associated functional…

介观与纳米尺度物理 · 物理学 2010-05-07 R. Egger , A. De Martino , H. Siedentop , E. Stockmeyer

We construct a nonperturbative nonequilibrium theory for graphene electrons interacting via the instantaneous Coulomb interaction by combining the functional renormalization group method with the nonequilibrium Keldysh formalism. The…

介观与纳米尺度物理 · 物理学 2017-03-15 Christian Fräßdorf , Johannes E. M. Mosig

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the…

介观与纳米尺度物理 · 物理学 2015-05-13 Riazuddin

The electronic behavior in graphene under arbitrary uniaxial deformations, such as foldings or flexural fields is studied by including in the Dirac equation pseudoelectromagnetic fields. General foldings are thus studied by showing that…

介观与纳米尺度物理 · 物理学 2023-03-23 Abdiel E. Champo , Gerardo G. Naumis

The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb…

强关联电子 · 物理学 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we…

无序系统与神经网络 · 物理学 2009-11-13 Matthew S. Foster , Igor L. Aleiner

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

We theoretically investigate the effects of Coulomb interaction, at the level of unscreened Hartree-Fock approximation, on third harmonic generation of undoped graphene in an equation of motion framework. The unperturbed electronic states…

介观与纳米尺度物理 · 物理学 2020-01-01 J. L. Cheng , J. E. Sipe , Chunlei Guo

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

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

无序系统与神经网络 · 物理学 2008-10-22 Oskar Vafek

We perform projective quantum Monte Carlo simulations of zigzag graphene nanoribbons within a realistic model with long-range Coulomb interactions. Increasing the relative strength of nonlocal interactions with respect to the on-site…

强关联电子 · 物理学 2017-09-29 Marcin Raczkowski , Fakher F. Assaad

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 analyze charging effects in graphene quantum dots. Using a simple model, we show that, when the Fermi level is far from the neutrality point, charging effects lead to a shift in the electrostatic potential and the dot shows standard…

介观与纳米尺度物理 · 物理学 2008-02-06 B. Wunsch , T. Stauber , F. Guinea

The physics of non-local exchange interactions in graphene sheets is studied within a $\pi$-orbital tight-binding model using a Hartree-Fock approximation and Coulomb interactions modified at short distances by lattice effects and at large…

介观与纳米尺度物理 · 物理学 2011-09-01 Jeil Jung , Allan H. MacDonald

It was recently found that Coulomb interaction can induce a series of nontrivial spectral and transport properties in a two-dimensional anisotropic Weyl semimetal. Different from graphehe that is basically an ordinary Fermi liquid, the…

强关联电子 · 物理学 2016-11-10 Peng-Lu Zhao , Jing-Rong Wang , An-Min Wang , Guo-Zhu Liu

We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which two-dimensional massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a…

强关联电子 · 物理学 2011-01-25 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We show that the emergent relativistic symmetry of electrons in graphene near its quantum critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive scaling laws, valid near the QCP, that dictate the nontrivial…

介观与纳米尺度物理 · 物理学 2015-05-13 Daniel E. Sheehy , Joerg Schmalian

The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

The electron-electron interactions effects on the shape of the Fermi surface of doped graphene are investigated. The actual discrete nature of the lattice is fully taken into account. A $\pi$-band tight-binding model, with nearest-neighbor…

强关联电子 · 物理学 2008-03-14 R. Roldan , M. P. Lopez-Sancho , F. Guinea