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The electronic properties of graphene

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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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Integer quantum Hall transition: An alternative approach and exact results

TL;DR: In this article, the authors introduced a class of model systems to study transitions in the integer quantum Hall effect (IQHE) and showed that the transition is in the two-dimensional Ising universality class and compute all associated exponents and critical transport properties.
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Ballistic Transport in Graphene Nanostrips in the Presence of Disorder: Importance of Edge Effects

TL;DR: Stimulated by recent advances in isolating graphene and similarities to single-wall carbon nanotubes, simulations were performed to assess the effects of static disorder on the conductance of metallic armchair- and zigzag-edge graphene nanostrips, found to have outstanding ballistic transport properties in the presence of a substrate-induced disorder.
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Infrared spectroscopy of Landau levels of graphene.

TL;DR: In infrared studies of the Landau level (LL) transitions in single layer graphene, the lack of precise scaling between different LL transitions indicates considerable contributions of many-particle effects to the infrared transition energies.
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Nonadiabatic kohn anomaly in a doped graphene monolayer

TL;DR: Graphene is a spectacular example where the adiabatic Born-Oppenheimer approximation miserably fails and the frequency weakly depends on the doping, while the dynamic one rapidly varies because of a Kohn anomaly.
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Landau level spectroscopy of ultrathin graphite layers.

TL;DR: Far infrared transmission experiments are performed on ultrathin epitaxial graphite samples in a magnetic field and the observed cyclotron resonance-like and electron-positron-like transitions are in excellent agreement with the expectations of a single-particle model of Dirac fermions in graphene.
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