Exploring the graphene edges with coherent electron focusing

Abstract

We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight binding calculations we show that perfect armchair edges give rise to equidistant peaks in the focusing spectrum. In the case of zigzag edges at low magnetic fields one can also observe focusing peaks but with increasing magnetic field a more complex interference structure emerges in the spectrum. This difference in the spectra can be observed even if the zigzag edge undergoes structural reconstruction. Therefore transverse electron focusing can help in the identification and characterisation of the edge structure of graphene samples.

6 pages, 5 figures

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Cited by in corpus (21)

• Electrically tunable transverse magnetic focusing in graphene
• A Two-dimensional Dirac fermion microscope
• WKB analysis of edge states in graphene in a strong magnetic field
• Zigzag graphene nanoribbon edge reconstruction with Stone-Wales defects
• Edge effects in graphene nanostructures: I. From multiple reflection expansion to density of states
• Boundary Scattering in Ballistic Graphene
• Dirac boundary condition at the reconstructed zigzag edge of graphene
• Semiclassical magnetotransport in graphene n-p junctions
• Graphene n-p junction in a strong magnetic field: a semiclassical study
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Scaling approach to tight-binding transport in realistic graphene devices: the case of transverse magnetic focusing
• Quantum Hall States in Graphene from Strain-Induced Nonuniform Magnetic Fields
• Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons
• Imaging snake orbits at graphene n-p junctions
• Magnetotransport along a boundary: From coherent electron focusing to edge channel transport
• Edge magnetotransport in graphene: A combined analytical and numerical study
• Semiclassical study of edge states and transverse electron focusing for strong spin-orbit coupling
• Isolated and hybrid bilayer graphene rings
• Andreev magneto-interferometry in topological hybrid junctions
• Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphene nanoribbons
• Breathing mode in open-orbit magnetotransport: a magnetic lens with a quantum mechanical focal length