Electron-electron interactions in the vacuum polarization of graphene

Kotov, Valeri N.; Uchoa, Bruno; Neto, A. H. Castro

doi:10.1103/physrevb.78.035119

Cited by 57 publications

(65 citation statements)

References 27 publications

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“…The resulting dielectric constant is = 1 + (N π α)/8, where N = 4 is the number of fermion flavors (see the next section). The inclusion of low-order ladder diagrams [25] does not significantly change this value. An independent estimate of α in graphene was obtained from measurements of the carrier-plasmon interaction in samples with a finite carrier concentration [26].…”

Section: Screening In Graphenementioning

confidence: 87%

Effect of Coulomb interactions on the physical observables of graphene

Vozmediano¹,

Guinea²

2012

Phys. Scr.

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We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address questions of the possible opening of a low-energy gap, and the magnitude of the graphene fine structure constant. We emphasize the role of Fermi velocity as the only free parameter determining the transport and electronic properties of the graphene system and revise its renormalization by Coulomb interactions in the light of recent experimental evidence.

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Section: Screening In Graphenementioning

confidence: 87%

Effect of Coulomb interactions on the physical observables of graphene

Vozmediano¹,

Guinea²

2012

Phys. Scr.

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“…Note that because the Fermi level µ 0 is fixed, while the spectrum is displaced or deformed due to the field E z or M , it is possible that this inequality is reversed for one valley spin state while it still holds for the others. In such a case only the vacuum polarization Π Analytical solutions have been found for both the vacuum polarization 31,36,39 and the polarization in graphene with a partly filled conduction band 36 . The polarization for µ sz > ∆ ηsz can be written as…”

Section: Polarization In Silicenementioning

confidence: 99%

Spin and valley polarization of plasmons in silicene due to external fields

2014

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The electronic properties of the novel two dimensional (2D) material silicene are strongly influenced by the application of a perpendicular electric field Ez and of an exchange field M due to adatoms positioned on the surface or a ferromagnetic substrate. Within the random phase approximation, we investigate how electron-electron interactions are affected by these fields and present analytical and numerical results for the dispersion of plasmons, their lifetime, and their oscillator strength. We find that the combination of the fields Ez and M brings a spin and valley texture to the particle-hole excitation spectrum and allows the formation of spin-and valley-polarized plasmons. When the Fermi level lies in the gap of one spin in one valley, the intraband region of the corresponding spectrum disappears. For zero Ez and finite M the spin symmetry is broken and spin polarization is possible. The lifetime and oscillator strength of the plasmons are shown to depend strongly on the number of spin and valley type electrons that form the electron-hole pairs.

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“…This conclusion is in agreement with recent work [27] which analyzes screening of charged impurity as polarization of Dirac vacuum in a strong Coulomb field (see also Refs. [20,28]). …”

Section: Atomic Collapse and Supercritical Charge Impuritiesmentioning

confidence: 99%

Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene

Shytov

Rudner

et al. 2009

Solid State Communications

112

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Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of their discrete energy levels, which are transformed into resonant states. Charge impurities in graphene provide a convenient condensed matter system in which this effect can be explored. Relativistic dynamics also manifests itself in another system, graphene p-n junctions. We show how the transport problem in the presence of magnetic field can be solved with the help of a Lorentz transformation, and use it to investigate magnetotransport in p-n junctions. Finally, we review recent proposal to use Fabry-Pérot resonances in p-n-p structures as a vehicle to investigate Klein scattering, another hallmark phenomenon of relativistic dynamics.

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Electron-electron interactions in the vacuum polarization of graphene

Cited by 57 publications

References 27 publications

Effect of Coulomb interactions on the physical observables of graphene

Effect of Coulomb interactions on the physical observables of graphene

Spin and valley polarization of plasmons in silicene due to external fields

Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene

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