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Chirality and correlations in graphene.

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TLDR
Graphene's exchange and random-phase-approximation correlation energies are evaluated to show that the tendency of Coulomb interactions in lightly doped graphene to favor states with larger net chirality leads to suppressed spin and charge susceptibilities.
Abstract
Graphene is described at low energy by a massless Dirac equation whose eigenstates have definite chirality. We show that the tendency of Coulomb interactions in lightly doped graphene to favor states with larger net chirality leads to suppressed spin and charge susceptibilities. Our conclusions are based on an evaluation of graphene's exchange and random-phase-approximation correlation energies. The suppression is a consequence of the quasiparticle chirality switch which enhances quasiparticle velocities near the Dirac point.

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Journal ArticleDOI

The electronic properties of graphene

TL;DR: In this paper, the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations, are discussed.
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Electronic transport in two-dimensional graphene

TL;DR: In this paper, a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures is provided.
Journal ArticleDOI

Graphene plasmonics

TL;DR: In this paper, the authors review the field emerging at the intersection of graphene physics and plasmonics and review the applications of graphene-based plasmons for optical devices with extremely high speed, low driving voltage, low power consumption and compact sizes.
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Observation of electron–hole puddles in graphene using a scanning single-electron transistor

TL;DR: In this article, a scanning single-electron transistor is used to map the local density of states and the carrier density landscape in the vicinity of the neutrality point, and it is shown that electron-hole puddles can be quantitatively accounted for by considering noninteracting electrons and holes.
Journal ArticleDOI

Electron-Electron Interactions in Graphene: Current Status and Perspectives

TL;DR: In this article, an emerging Dirac liquid of Lorentz invariant quasi-particles in the weak coupling regime and strongly correlated electronic states in the strong coupling regime is discussed.
References
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Book

Quantum theory of the electron liquid

TL;DR: In this paper, the Hartree-Fock approximation is used to approximate the linear response of an interacting electron liquid and the perturbative calculation of linear response functions is performed. But the results are limited to the one-dimensional electron gas at high magnetic field.
Journal ArticleDOI

Intrinsic and Rashba spin-orbit interactions in graphene sheets

TL;DR: In this article, the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an isolated graphene sheet were derived using second-order perturbation theory.
Book

Quantum Theory of the Electron Liquid

TL;DR: In this article, the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules, is discussed.
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