Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport

Abstract

This brief review discusses electronic properties of mesoscopic graphene-based structures. These allow controlling the confinement and transport of charge and spin; thus, they are of interest not only for fundamental research, but also for applications. The graphene-related topics covered here are: edges, nanoribbons, quantum dots, $pn$-junctions, $pnp$-structures, and quantum barriers and waveguides. This review is partly intended as a short introduction to graphene mesoscopics.

47 pages, 26 figures, 11 tables; for copyright reasons Fig.23 of this preprint and of the published review are not identical

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• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Dirac equation description on the electronic states and magnetic properties of a square graphene quantum dot
• Magnetism as a mass term of the edge states in graphene
• Electronic properties of a graphene antidot in magnetic fields
• Proposal for a magnetic field induced graphene dot
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Cited by in corpus (94)

• Electronic properties of graphene-based bilayer systems
• First-principles Analysis of Photo-current in Graphene PN Junctions
• Energy levels of triangular and hexagonal graphene quantum dots: a comparative study between the tight-binding and the Dirac approach
• Electronic properties of gated triangular graphene quantum dots: Magnetism, correlations, and geometrical effects
• Instabilities of the AA-stacked graphene bilayer
• Linear Scaling Quantum Transport Methodologies
• Oblique Klein tunneling in 8-Pmmn borophene p-n junctions
• Magnetic properties of graphene quantum dots
• Electrotunable artificial molecules based on van der Waals heterostructures
• Bielectron vortices in two-dimensional Dirac semimetals
• Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
• Searching for confined modes in graphene channels: the variable phase method
• Graphene nanoflakes in external electric and magnetic in-plane fields
• Current resonances in graphene with time dependent potential barriers
• Strongly anisotropic Dirac quasiparticles in irradiated graphene
• Ballistic charge transport in graphene and light propagation in periodic dielectric structures with metamaterials: a comparative study
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• Tunable quantum dots in monolayer graphene
• Fermi velocity renormalization and dynamical gap generation in graphene
• Emergence of photoswitchable states in a graphene-azobenzene-Au platform
• Zero-energy states of graphene triangular quantum dots in a magnetic field
• AA-stacked bilayer graphene in an applied electric field: Tunable antiferromagnetism and coexisting exciton order parameter
• Scattering of Dirac electrons by circular mass barriers: valley filter and resonant scattering
• Antiferromagnetic states and phase separation in doped AA-stacked graphene bilayers
• Electron-electron interactions in bilayer graphene quantum dots
• Optimal traps in graphene
• An Effective Medium Approach to Electron Waves: Graphene Superlattices
• Spin-valley half-metal as a prospective material for spin-valley-tronics
• Klein paradox for a pn junction in multilayer graphene
• Single-electron gap in the spectrum of twisted bilayer graphene
• Impact of edge shape on the functionalities of graphene-based single-molecule electronics devices
• Qualitative analysis of trapped Dirac fermions in graphene
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Relativistic Brownian motion on a graphene chip
• Localization of massless Dirac particles via spatial modulations of the Fermi velocity
• Graphene kirigami as a platform for stretchable and tunable quantum dot arrays
• Strong spin-dependent negative differential resistance in composite graphene superlattices
• Localized electron states near the armchair edge of graphene
• Doping of large-pore crown graphene nanomesh
• Nonlinear Graphene Quantum Capacitors for Electro-optics
• Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a correlated random one-dimensional scalar potential
• Terahertz Transverse-Electric- and Transverse-Magnetic-polarized waves localized on graphene in photonic crystals
• Band gap engineering in AA-stacked bilayer graphene
• Charge confinement and Klein tunneling from doping graphene
• Graphene nanoring as a tunable source of polarized electrons
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Field-induced Confined States in Graphene
• Molecular dynamics simulation of graphene on Cu(111) with different Lennard-Jones parameters
• Transport in Graphene: Ballistic or Diffusive?
• Phase separation of hydrogen atoms adsorbed on graphene and the smoothness of the graphene-graphane interface
• Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry
• Electrical current and coupled electron-nuclear spin dynamics in double quantum dots
• Wigner localization in a graphene quantum dot with a mass gap
• Exciton states in a circular graphene quantum dot: magnetic field induced intravalley to intervalley transition
• Disorder-induced dephasing in backscattering-free quantum transport
• Spin-valley half-metal in systems with Fermi surface nesting
• Phosphorene pnp junctions as perfect electron waveguides
• Zero-energy vortices in Dirac materials
• Inhibiting Klein tunneling in graphene p-n junction without an external magnetic field
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Patterning graphene nanostripes in substrate-supported functionalized graphene: A promising route to integrated, robust, and superior transistors
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Spin exchange interaction with tunable range between graphene quantum dots
• Quasi-bound states and Fano effect in T-shaped graphene nanoribbons
• Isolated and hybrid bilayer graphene rings
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Can bilayer graphene become a fractional metal?
• Finite difference method for Dirac electrons in circular quantum dots
• Nonequilibrium Kondo effect in a graphene-coupled quantum dot in the presence of a magnetic field
• Graphene quantum blisters: a tunable system to confine charge carriers
• Dyson-Schwinger approach to strongly coupled theories
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Trapping charge carriers in low-dimensional Dirac materials
• Engineering the De-localized States of Graphene Quantum Dots
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Current modulation in graphene p-n junctions with external fields
• Diffusion on edges of insulating graphene with intravalley and intervalley scattering
• Time Evolution of Electron Waves in Graphene Superlattices
• Electric control of tunneling energy in graphene double dots
• Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
• Unravelling the interplay of geometrical, magnetic and electronic properties of metal-doped graphene nanomeshes
• Steady-state solution for dark states using a three-level system in coupled quantum dots
• Substrate effects on transport properties of a biased AA-stacked bilayer graphene
• Nonlinear electric transport in graphene with magnetic disorder
• Magnetic, charge, and transport properties of graphene nanoflakes
• Tunable circular dipolelike system in graphene: Mixed electron-hole states
• Spin-density wave state in simple hexagonal graphite
• Thermoelectric properties of the Corbino disk in graphene
• Large displacement strain theory and its application to graphene
• Graphene-like metallic-on-silicon field effect transistor
• Energy spectra of graphene quantum dots induced between Landau levels
• Qualitative analysis of magnetic waveguides for two-dimensional Dirac fermions
• Band strutures of hybrid graphene quantum dots with magnetic flux
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems