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We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random…

材料科学 · 物理学 2017-01-25 Habib Rostami , Mikhail I. Katsnelson , Marco Polini

We discuss the effect of electron-electron interactions on the static polarization properties of graphene beyond RPA. Divergent self-energy corrections are naturally absorbed into the renormalized coupling constant $\alpha$. We find that…

强关联电子 · 物理学 2008-07-18 Valeri N. Kotov , Bruno Uchoa , A. H. Castro Neto

We investigate the excitonic instability in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for exciton condensation in the ladder approximation, showing that it…

介观与纳米尺度物理 · 物理学 2013-05-30 J. Gonzalez

We investigate the dynamical breakdown of the chiral symmetry in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for the dynamical gap generation in the ladder…

介观与纳米尺度物理 · 物理学 2012-05-14 J. Gonzalez

Electrons in graphene behave like relativistic Dirac particles which can reduce velocity of light by two orders of magnitude in the form of plasmon-polaritons. Here we show how these properties lead to a peculiar nonlinear plasmon response…

光学 · 物理学 2020-03-02 Marinko Jablan

Artifical superlattice (SL) potentials have been employed extensively for band structure engineering of two-dimensional (2D) Dirac electron gas in graphene. While such engineered electronic band structures can modify optical or plasmonic…

介观与纳米尺度物理 · 物理学 2022-03-29 Minwoo Jung , Gennady Shvets

The dispersion relation for the collective plasma excitations of optically dressed Dirac electrons in single and double graphene layers is calculated in the random-phase approximation. The presence of circularly polarized light gives rise…

材料科学 · 物理学 2015-05-27 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

We consider single-layer plane graphene with electronic excitations described by the Dirac equation. Using a known representation of the polarization tensor in terms of the spinor loop we show the existence of surface modes, i.e., of…

介观与纳米尺度物理 · 物理学 2012-12-17 M. Bordag

In this research we report the dielectric response of a finite temperature electron gas, electrostatically interacting with both external and self-induced plasmonic fields, in the well-known random phase approximation. The generalized…

等离子体物理 · 物理学 2022-11-16 M. Akbari-Moghanjoughi

Within linear-response theory we derive a response function that thoroughly takes into account the influence of elastic scattering and is valid beyond the long-wavelength limit. We apply the theo-ry to plasmons in graphene and the…

介观与纳米尺度物理 · 物理学 2018-01-16 M. Bahrami , P. Vasilopoulos

We study the many-body theory of graphene Dirac quasiparticles interacting via the long-range Coulomb potential, taking as a starting point the ladder approximation to different vertex functions. We test in this way the low-energy behavior…

强关联电子 · 物理学 2015-06-04 J. Gonzalez

The inelastic light scattering in a 2-d electron gas is studied theoretically using the Boltzmann equation techniques. Electron-hole excitations produce the Raman spectrum essentially different from the one predicted for the 3-d case. In…

介观与纳米尺度物理 · 物理学 2007-05-23 E. G. Mishchenko

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to…

强关联电子 · 物理学 2008-12-12 P. K. Pyatkovskiy

In the recent years many researches were performed about graphene. Graphene is always considered a half metal or a zero gap semiconductor. In the last year new experiments were done about graphene on boron nitride and they obtained an…

介观与纳米尺度物理 · 物理学 2015-08-11 Salvatore Croce

We study the collective charge excitations (plasmons) in spin polarized graphene, and derive explicit expressions for their dispersion in the undamped regime. From this, we are able to calculate the critical wave vector beyond which the…

介观与纳米尺度物理 · 物理学 2015-06-16 Amit Agarwal , Giovanni Vignale

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

强关联电子 · 物理学 2015-06-04 Van-Nham Phan , Holger Fehske

In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

介观与纳米尺度物理 · 物理学 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

The paper addresses boundary electronic properties of graphene with a complex edge structure of the armchair/zigzag/armchair type. It is shown that the finite zigzag region supports edge bound states with discrete equidistant spectrum…

介观与纳米尺度物理 · 物理学 2009-02-02 Grigory Tkachov

A back action from Dirac electrons in graphene on the hybridization of radiative and evanescent fields is found as an analogy to Newton's third law. Here, the back action appears as a localized polarization field which greatly modifies an…

介观与纳米尺度物理 · 物理学 2017-08-30 Andrii Iurov , Danhong Huang , Godfrey Gumbs , Wei Pan , A. A. Maradudin

We study excitonic effects in two-dimensional massless Dirac fermions with Coulomb interactions by solving the ladder approximation to the Bethe-Salpeter equation. It is found that the general 4-leg vertex has a power law behavior with the…

强关联电子 · 物理学 2015-05-20 Jianhui Wang , H. A. Fertig , Ganpathy Murthy , L. Brey
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