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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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Drawing conclusions from graphene

Abstract: In a time when cutting-edge scientific research is expensive and complex, it seems absurd that a breakthrough in physics could be achieved with simple adhesive tape. But in 2004, Andre Geim, Kostya Novoselov and co-workers at the University of Manchester in the UK did just that. By delicately cleaving a sample of graphite with sticky tape, they produced something that was long considered impossible: a sheet of crystalline carbon just one atom thick, known as graphene. Many physicists believed that a 2D crystal like graphene would always roll up rather than stand free in a planar form; but Geim's group brought to an end years of unsuccessful attempts to isolate graphene, and was able to visualize the new crystal using a simple optical microscope (figure 1).
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Scanning tunneling spectroscopy of inhomogeneous electronic structure in monolayer and bilayer graphene on SiC

TL;DR: In this article, the authors present a scanning tunneling spectroscopy (STS) study of the local electronic structure of single and bilayer graphene grown epitaxially on a SiC(0001) surface.
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Effects of topological defects and local curvature on the electronic properties of planar graphene

TL;DR: In this paper, a formalism based on coupling the Dirac equation that models the low energy electronic excitations of clean flat graphene samples to a curved space is proposed to study the electronic and transport properties of graphene sheets with corrugations.
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Theory of Quantum Transport in a Two-Dimensional Electron System under Magnetic Fields. IV. Oscillatory Conductivity

TL;DR: In this paper, the level broadening and transverse conductivity under magnetic fields of arbitrary strength are studied in the simplest approximation free from the difficulty of divergence caused by the singular nature of the system.
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