Imaging Cyclotron Orbits of Electrons in Graphene
arXiv:1510.05197 · doi:10.1021/acs.nanolett.5b04609
Abstract
Electrons in graphene can travel for several microns without scattering at low temperatures, and their motion becomes ballistic, following classical trajectories. When a magnetic field B is applied perpendicular to the plane, electrons follow cyclotron orbits. Magnetic focusing occurs when electrons injected from one narrow contact focus onto a second contact located an integer number of cyclotron diameters away. By tuning the magnetic field B and electron density n in the graphene layer, we observe magnetic focusing peaks. We use a cooled scanning gate microscope to image cyclotron trajectories in graphene at 4.2 K. The tip creates a local change in density that casts a shadow by deflecting electrons flowing nearby; an image of flow can be obtained by measuring the transmission between contacts as the tip is raster scanned across the sample. On the first magnetic focusing peak, we image a cyclotron orbit that extends from one point contact to the other. In addition, we study the geometry of orbits deflected into the second point contact by the tip.
19 pages, 5 figures, submitted for publication
References in corpus (20)
- The electronic properties of graphene
- Boron nitride substrates for high-quality graphene electronics
- Chiral tunneling and the Klein paradox in graphene
- Micrometer-scale ballistic transport in encapsulated graphene at room temperature
- Quantum interference and Klein tunneling in graphene heterojunctions
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Specular Andreev reflection in graphene
- Coherent Branched Flow in a Two-Dimensional Electron Gas
- Electron Beam Supercollimation in Graphene Superlattices
- Observation of negative refraction of Dirac fermions in graphene
- Electrically tunable transverse magnetic focusing in graphene
- Specular Interband Andreev Reflections in Graphene
- Imaging Magnetic Focusing of Coherent Electron Waves
- Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach
- Measurement of Collective Dynamical Mass of Dirac Fermions in Graphene
- Boundary Scattering in Ballistic Graphene
- Imaging Electron Interferometer
- Imaging coherent transport in graphene (Part II): Probing weak localization
- Imaging ballistic carrier trajectories in graphene using scanning gate microscopy
- Signature of chirality in scanning-probe imaging of charge flow in graphene
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- Understanding magnetic focusing in graphene - junctions through quantum modeling
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- Scanning gate microscopy probing of anisotropic electron flow in a two dimensional electron gas at the (110) interface: A theoretical investigation