A Two-dimensional Dirac fermion microscope
arXiv:1704.06952 · doi:10.1038/ncomms15783
Abstract
The electron microscope has been a powerful, highly versatile workhorse in the fields of material and surface science, micro and nanotechnology, biology and geology, for nearly 80 years. The advent of two-dimensional materials opens new possibilities for realising an analogy to electron microscopy in the solid state. Here we provide a perspective view on how a two-dimensional (2D) Dirac fermion-based microscope can be realistically implemented and operated, using graphene as a vacuum chamber for ballistic electrons. We use semiclassical simulations to propose concrete architectures and design rules of 2D electron guns, deflectors, tunable lenses and various detectors. The simulations show how simple objects can be imaged with well-controlled and collimated in-plane beams consisting of relativistic charge carriers. Finally, we discuss the potential of such microscopes for investigating edges, terminations and defects, as well as interfaces, including external nanoscale structures such as adsorbed molecules, nanoparticles or quantum dots.
arXiv comment34 pages; 14 pages; 6 figures; Supplementary information
References in corpus (73)
- The electronic properties of graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Ultrahigh electron mobility in suspended graphene
- Graphene Photonics and Optoelectronics
- Boron nitride substrates for high-quality graphene electronics
- Chiral tunneling and the Klein paradox in graphene
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Valley filter and valley valve in graphene
- Micrometer-scale ballistic transport in encapsulated graphene at room temperature
- Cloning of Dirac fermions in graphene superlattices
- Quantum interference and Klein tunneling in graphene heterojunctions
- Highly confined low-loss plasmons in graphene-boron nitride heterostructures
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Observation of the Fractional Quantum Hall Effect in Graphene
- Cross-sectional imaging of individual layers and buried interfaces of graphene-based heterostructures and superlattices
- Strong suppression of weak (anti)localization in graphene
- Evidence of Klein tunneling in graphene p-n junctions
- The hot pick-up technique for batch assembly of van der Waals heterostructures
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Negative local resistance caused by viscous electron backflow in graphene
- Exceptional ballistic transport in epitaxial graphene nanoribbons
- Current-induced cleaning of graphene
- Weak localisation in graphene flakes
- Electronic properties of graphene-based bilayer systems
- Strong Coulomb drag and broken symmetry in double-layer graphene
- Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
- Klein tunneling in graphene: optics with massless electrons
- Ballistic transport exceeding 28 μm in CVD grown graphene
- Electron optics with ballistic graphene junctions
- Electron Beam Supercollimation in Graphene Superlattices
- Spin lifetimes exceeding 12 nanoseconds in graphene non-local spin valve devices
- Aharonov-Bohm effect in graphene
- Non-local transport and the hydrodynamic shear viscosity in graphene
- Gate-controlled Guiding of Electrons in Graphene
- Observation of negative refraction of Dirac fermions in graphene
- Ballistic interferences in suspended graphene
- Electrically tunable transverse magnetic focusing in graphene
- Graphene Nanobubbles as Valley Filters and Beamsplitters
- Quantized conductance of a suspended graphene nanoconstriction
- Orthogonality catastrophe and Kondo effect in graphene
- Ballistic miniband conduction in a graphene superlattice
- Anomalously large conductance fluctuations in weakly disordered graphene
- The Effect of Cluster Formation on Graphene Mobility
- Unraveling the acoustic electron-phonon interaction in graphene
- Unexpected features of branched flow through high-mobility two-dimensional electron gases
- Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
- Snake Trajectories in Ultraclean Graphene p-n Junctions
- Contact resistance and shot noise in graphene transistors
- Scalable Tight-Binding Model for Graphene
- 24 \textmu m length spin relaxation length in boron nitride encapsulated bilayer graphene
- Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling
- Ballistic transport in graphene antidot lattices
- Conductance oscillations induced by ballistic snake states in a graphene heterojunction
- Aharonov-Bohm effect in a side-gated graphene ring
- Imaging Cyclotron Orbits of Electrons in Graphene
- Size quantization of Dirac fermions in graphene constrictions
- Creating and Steering Highly Directional Electron Beams in Graphene
- Modeling Klein tunneling and caustics of electron waves in graphene
- Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
- Models of electron transport in single layer graphene
- Gate tuneable beamsplitter in ballistic graphene
- Absorptive pinhole collimators for ballistic Dirac fermions in graphene
- Exploring the graphene edges with coherent electron focusing
- Complex absorbing potential based Lorentzian fitting scheme and time dependent quantum transport
- Periodic Orbit Theory of the circular billiard in homogeneous magnetic fields
- Tight-binding study of the magneto-optical properties of gapped graphene
- Scaling approach to tight-binding transport in realistic graphene devices: the case of transverse magnetic focusing
- Fabrication of ballistic suspended graphene with local-gating
- Periodic magnetoconductance fluctuations in triangular quantum dots in the absence of selective probing
- Intravalley Multiple Scattering of Quasiparticles in Graphene
- Spectroscopy of snake states using a graphene Hall bar
- Understanding magnetic focusing in graphene - junctions through quantum modeling
Cited by in corpus (33)
- Optical Excitations with Electron Beams: Challenges and Opportunities
- Klein tunneling and electron optics in Dirac-Weyl fermion systems with tilted energy dispersion
- Graphene Transistor Based on Tunable Dirac-Fermion-Optics
- Imaging Dirac fermions flow through a circular Veselago lens
- Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
- Diffraction catastrophes and semiclassical quantum mechanics for Veselago lensing in graphene
- Angular-dependent Klein tunneling in photonic graphene
- Full-scale Simulation of Electron Transport in Nanoporous Graphene: Probing the Talbot Effect
- Anomalous caustics and Veselago focusing in 8-Pmmn borophene p-n junctions with arbitrary junction directions
- Electronic optics in graphene in the semiclassical approximation
- Aharonov-Bohm oscillations and magnetic focusing in ballistic graphene rings
- Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
- Electrostatics of metal-graphene interfaces: sharp p-n junctions for electron-optical applications
- Large-scale tight-binding simulations of quantum transport in ballistic graphene
- Gradient-index electron optics in graphene pn junctions
- Electron collimation at van der Waals domain walls in bilayer graphene
- A corner reflector of graphene Dirac fermions as a phonon-scattering sensor
- Dirac fermion optics and directed emission from single- and bilayer graphene cavities
- Controlling electron flow in anisotropic Dirac materials heterojunctions: a super-diverging lens
- Precision Measurement of Trident Production in Strong Electromagnetic Fields
- Graphene whisperitronics: transducing whispering gallery modes into electronic transport
- Specular electron focusing between gate-defined quantum point contacts in bilayer graphene
- Veselago focusing of anisotropic massless Dirac fermions
- Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
- Chaos based Berry phase detector
- Metasurface electron optics in graphene
- Manipulating electron waves in graphene using carbon nanotube gating
- 2D Rutherford-Like Scattering in Ballistic Nanodevices
- Valley separation via trigonal warping
- Klein tunneling degradation and enhanced Fabry-Pérot interference in graphene/h-BN moiré-superlattice devices
- Electronic analogue of Fourier optics with mass-less Dirac fermions scattered by quantum dot lattice
- Spin-dependent edge states in two-dimensional Dirac materials with a flat band
- Two-dimensional Dirac matter in the semiclassical regime