# The electronic properties of graphene

@article{Neto2009TheEP, title={The electronic properties of graphene}, author={Antonio H. Castro Neto and Francisco Guinea and Nuno M. R. Peres and Kostya S. Novoselov and Andre K. Geim}, journal={Reviews of Modern Physics}, year={2009}, volume={81}, pages={109-162} }

This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric and magnetic fields, or by altering sample geometry and/or topology. The Dirac electrons behave in unusual ways in tunneling, confinement, and the integer quantum Hall effect. The electronic properties of graphene stacks are discussed and vary with stacking… Expand

#### Paper Mentions

#### 16,586 Citations

Electronic Properties of Graphene Nanoribbons

- Physics
- 2011

Graphene is a one atomic thickness carbon sheet, where the low-energy electronic states of graphene are described by the massless Dirac Fermions. The orientation of edge in graphene determines energy… Expand

Electronic Properties of Multilayer Graphene

- Materials Science
- 2011

In this chapter, we study the electronic structure of arbitrarily stacked multilayer graphene in the absence or presence of magnetic field. The energy band structure and the Landau-level spectrum are… Expand

Another Spin on Graphene

- Physics
- 2011

Graphene, the one-atom-thick face of carbon ( 1 ), startled the condensed matter community from the get-go. It exhibits a large number of new and exotic optical and electronic effects that have not… Expand

The electronic properties of bilayer graphene.

- Physics, Medicine
- Reports on progress in physics. Physical Society
- 2013

The tight-binding model is used to describe optical and transport properties including the integer quantum Hall effect, and the also discusses orbital magnetism, phonons and the influence of strain on electronic properties. Expand

Twisted bilayer graphene — electronic and optical properties

- 2017

Van der Waals heterostructures are promising new materials which have been drawing increasingly attention [1–4]. In this work, we focus on the theoretical description of one of the simplest… Expand

Electronic states of graphene nanoribbons and analytical solutions

- Materials Science, Medicine
- Science and technology of advanced materials
- 2010

This review investigates nanoscale effects on the physical properties of graphene nanoribbons and clarify the role of edge boundaries, and provides analytical solutions for electronic dispersion and the corresponding wavefunction in graphene nan oribbons with their detailed derivation using wave mechanics based on the tight-binding model. Expand

Defect Dynamics in Graphene

- Materials Science
- 2020

The experimental and theoretical study of graphene, two-dimensional (2D) graphite, is an extremely rapidly growing field of today's condensed matter research. Different types of disorder in graphene… Expand

Properties of graphene: a theoretical perspective

- Physics
- 2010

The electronic properties of graphene, a two-dimensional crystal of carbon atoms, are exceptionally novel. For instance, the low-energy quasiparticles in graphene behave as massless chiral Dirac… Expand

Electron-electron interactions in artificial graphene.

- Materials Science, Medicine
- Physical review letters
- 2012

These effects on the band structure and on the emergence of Dirac points are determined and the need for an accurate theory of its electronic properties grows, including the effects of electron-electron interactions. Expand

Physics of Graphene: Basic to FET Application

- Physics
- Physics and Chemistry of Carbon-Based Materials
- 2019

Graphene is a single layer of carbon atoms that are arranged in a two-dimensional honeycomb network. Since the successful isolation of graphene in 2004, its peculiar nature has been extensively… Expand

#### References

SHOWING 1-10 OF 517 REFERENCES

Electronic properties of disordered two-dimensional carbon

- Materials Science, Physics
- 2006

Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of… Expand

Electronic properties of graphene

- Physics, Materials Science
- 2007

Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out that graphene is a gapless semiconductor with unique electronic properties… Expand

Effects of topological defects and local curvature on the electronic properties of planar graphene

- Physics
- 2006

A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation… Expand

Electronic properties of graphene multilayers.

- Materials Science, Physics
- Physical review letters
- 2006

It is shown that the quasiparticle decay rate has a minimum as a function of energy, there is a universal minimum value for the in-plane conductivity of order e(2)/h per plane and, unexpectedly, the c-axis conductivity is enhanced by disorder at low doping, leading to an enormous conductivity anisotropy at low temperatures. Expand

Edge and surface states in the quantum Hall effect in graphene

- Physics
- 2006

We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions… Expand

Effects of topological defects and local curvature on the electronic properties of planar graphene

- Physics
- 2007

Abstract A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac… Expand

Effect of electron-electron interactions on the conductivity of clean graphene.

- Physics, Medicine
- Physical review letters
- 2007

The perturbation theory in the interaction parameter g for the electron self-energy is analyzed, the optical conductivity is derived from the quantum kinetic equation, and the exact result is obtained in the limit when g<<1<< g|lnomega|. Expand

Bipolar supercurrent in graphene

- Physics, Medicine
- Nature
- 2007

Light is shed on the special role of time reversal symmetry in graphene, and phase coherent electronic transport at the Dirac point is demonstrated, finding that not only the normal state conductance of graphene is finite, but also a finite supercurrent can flow at zero charge density. Expand

Scattering and Interference in Epitaxial Graphene

- Medicine, Chemistry
- Science
- 2007

It is shown that, when its source is atomic-scale lattice defects, wave functions of different symmetries can mix and reflect both intravalley and intervalley scattering. Expand

Electron-electron interactions and the phase diagram of a graphene bilayer

- Materials Science, Physics
- 2006

We study the effects of long and short-range electron-electron interactions in a graphene bilayer. Using a variational wave function technique we show that in the presence of long-range Coulomb… Expand