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The electronic properties of graphene

TLDR
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.
Abstract
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 order and number of layers. Edge (surface) states in graphene depend on the edge termination (zigzag or armchair) and affect the physical properties of nanoribbons. Different types of disorder modify the Dirac equation leading to unusual spectroscopic and transport properties. The effects of electron-electron and electron-phonon interactions in single layer and multilayer graphene are also presented.

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Electronics and optoelectronics of two-dimensional transition metal dichalcogenides.

TL;DR: This work reviews the historical development of Transition metal dichalcogenides, methods for preparing atomically thin layers, their electronic and optical properties, and prospects for future advances in electronics and optoelectronics.
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Graphene: Status and Prospects

TL;DR: This review analyzes recent trends in graphene research and applications, and attempts to identify future directions in which the field is likely to develop.
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Topological insulators and superconductors

TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
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Graphene and Graphene Oxide: Synthesis, Properties, and Applications

TL;DR: An overview of the synthesis, properties, and applications of graphene and related materials (primarily, graphite oxide and its colloidal suspensions and materials made from them), from a materials science perspective.
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The chemistry of two-dimensional layered transition metal dichalcogenide nanosheets

TL;DR: This Review describes how the tunable electronic structure of TMDs makes them attractive for a variety of applications, as well as electrically active materials in opto-electronics.
References
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Impurity-induced states in conventional and unconventional superconductors

TL;DR: In this article, the authors provide a unified framework for describing quasi-localized states in the vicinity of impurity sites in conventional and unconventional superconductors and show that these fluctuations affect the density of states and are, strictly speaking, gapless in the presence of an arbitrarily small concentration of magnetic impurities.
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The focusing of electron flow and a Veselago lens in graphene p-n junctions.

TL;DR: The focusing of electric current by a single p-n junction in graphene is theoretically predicted and may be useful for the engineering of electronic lenses and focused beam splitters using gate-controlled n-p-n junctions in graphene-based transistors.
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Dynamical polarization of graphene at finite doping

TL;DR: In this paper, the polarization of graphene is calculated exactly within the random phase approximation for arbitrary frequency, wavevector and doping, and the dynamical polarization for low q and arbitrary ω is employed to calculate the dispersion relation and the decay rate of plasmons and acoustic phonons.
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Quantum Hall Effect in a Gate-Controlled p-n Junction of Graphene

TL;DR: The realization of a single-layer graphene p-n junction is reported in which carrier type and density in two adjacent regions are locally controlled by electrostatic gating, consistent with recent theory.
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Structural Coherency of Graphene on Ir(111)

TL;DR: It is shown that graphene prepared this way exhibits remarkably large-scale continuity of its carbon rows over terraces and step edges, and quantitatively examined the bending of graphene across Ir step edges.
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