Valley-dependent Brewster angles and Goos-Hanchen effect in strained graphene

Abstract

We demonstrate theoretically how local strains in graphene can be tailored to generate a valley polarized current. By suitable engineering of local strain profiles, we find that electrons in opposite valleys (K or K') show different Brewster-like angles and Goos-Hänchen shifts, exhibiting a close analogy with light propagating behavior. In a strain-induced waveguide, electrons in K and K' valleys have different group velocities, which can be used to construct a valley filter in graphene without the need for any external fields.

5 pages, 4 figures

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Cited by in corpus (84)

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• Valley Vortex States in Sonic Crystals
• Generation of pure bulk valley current in graphene
• Graphene Nanobubbles as Valley Filters and Beamsplitters
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Topological Imbert-Fedorov shift in Weyl semimetals
• Valley Polarization and Inversion in Strained Graphene via Pseudo-Landau Levels, Valley Splitting of Real Landau Levels and Confined States
• Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
• Electronic analogy of Goos-Hänchen effect: a review
• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Valley engineering by strain in Kekulé-distorted graphene
• Strain Modulated Superlattices in Graphene
• Spin-Wave Fiber
• Pseudomagnetic fields and triaxial strain in graphene
• Strain controlled valley filtering in multi-terminal graphene structures
• Giant Goos-Hänchen Shift in Graphene Double-barrier Structures
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• The positive piezoconductive effect in graphene
• Valley filtering and electronic optics using polycrystalline graphene
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Goos-Hänchen Shifts of Partially Coherent Light Fields
• Local versus extended deformed graphene geometries for valley filtering
• Electron optics in phosphorene pn junctions: Negative reflection and anti super-Klein tunneling
• Quantized Circulation of Anomalous Shift in Interface Reflection
• Lateral heterostructures and one-dimensional interfaces in 2D transition metal dichalcogenides
• Valley and spin pump by scattering at non-magnetic disorders
• Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
• Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion
• Quantized transport, strain-induced perfectly conducting modes and valley filtering on shape-optimized graphene Corbino devices
• A scheme to realize the quantum spin-valley Hall effect in monolayer graphene
• Controllable Goos-Hänchen shifts and spin beam splitter for ballistic electrons in a parabolic quantum well under a uniform magnetic field
• Quantum Hall response to time-dependent strain gradients in graphene
• Tuning electrical and optical anisotropy of a monolayer black phosphorus magnetic superlattice
• Conductance across strain junctions in graphene nanoribbons
• Super-Andreev reflection and longitudinal shift of pseudospin-one fermions
• Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
• Shift vector as the geometric origin of beam shifts
• Electronic beam shifts in monolayer graphene superlattice
• Electron dynamics in strained graphene
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Perfect valley filter controlled by Fermi velocity modulation in graphene
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Enhanced Andreev reflection in gapped graphene
• Tunable multiple layered Dirac cones in optical lattices
• Valley filter from magneto-tunneling between single and bi-layer graphene
• Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene
• Plasmon geometric phase and plasmon Hall shift
• Photo-induced valley currents in strained graphene
• Anomalous spatial shifts in interface electronic scattering
• Anomalous Floquet tunneling in uniaxially strained graphene
• Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement
• Valley and spin polarization from graphene line defect scattering
• Effects of optical fields on the tunneling time of chiral electrons in graphene
• Band-offset-induced lateral shift of valley electrons in ferromagnetic MoS${}_2$/WS${}_2$ planar heterojunctions
• Valley-selective Klein tunneling through superlattice barrier in graphene
• On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
• Goos-Hänchen-like shifts at metal/superconductor interface
• A Lévy flight for electrons in graphene: superdiffusive-to-diffusive transport transition
• Goos-Hänchen Shifts in AA-Stacked Bilayer Graphene Superlattices
• Gate-controlled valley transport and Goos-Hänchen effect in monolayer WS${}_2$
• A strain-engineered graphene qubit in a nanobubble
• How to detect a genuine quantum pump effect in graphene?
• Ballistic collective group delay and its Goos-Hänchen component in graphene
• Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
• Robust wavefront dislocations of Friedel oscillations in gapped graphene
• Effectuating tunable valley selection via multi-terminal monolayer graphene devices
• Impact of the Fizeau drag effect on Goos-Hänchen shifts in graphene
• Tunable anisotropic behaviors in phosphorene under periodic potentials in arbitrary directions
• Valley polarization and valleyresistance in monolayer transition metal dichalcogenides superlattice
• Goos-Hänchen Shifts in Graphene with Spatially Modulated Potential
• Effect of surface roughness on the Goos-Hänchen shift
• Valley-resolved Fano resonance in monolayer transition metal dichalcogenides nanoribbons with attached stubs
• Extended transfer matrix method for electron transmission in anisotropic 2D materials: Interplay of strain and (a)periodicity of potentials
• Switchable valley functionalities of an $n-n^{-}-n$ junction in 2D semiconductors
• Scattering of relativistic electrons and analogies with optical phenomena: A study of longitudinal and transverse shifts at step potentials
• Valley focusing effect in a rippled graphene superlattice
• Controllable Goos-Hänchen Shift in Graphene Triangular Double Barrier
• Complete Spin and Valley Polarization by Total External Reflection from Potential Barriers in Bilayer Graphene and Monolayer Transition Metal Dichalcogenides
• Wigner time delays and Goos-Hänchen shifts of 2D quantum vortices scattered by potential barriers
• Valley Gapless Semiconductor: Models and Applications
• Designer gapped and tilted Dirac cones in lateral graphene superlattices
• Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
• Quantum transport of pseudospin-polarized Dirac fermions in gapped graphene nanostructures
• Transmission and Goos-Hänchen like Shifts through a Graphene Double Barrier in an Inhomogeneous Magnetic Field