Electron optics in phosphorene pn junctions: Negative reflection and anti super-Klein tunneling
arXiv:1906.08250 · doi:10.1021/acs.nanolett.9b02720
Abstract
Ballistic electrons in phosphorene junctions show optical-like phenomena. Phosphorene is modeled by a tight-binding Hamiltonian that describes its electronic structure at low energies, where the electrons behave in the zigzag direction as massive Dirac fermions and in the orthogonal armchair direction as Schrödinger electrons. Applying the continuum approximation, we derive the electron optics laws in phosphorene junctions, which show very particular and unusual properties. Due to the anisotropy of the electronic structure, these laws depend strongly on the orientation of the junction with respect to the sublattice. Negative and anomalous reflection are observed for tilted junctions, while the typical specular reflection is found only, if the junction is parallel to the zigzag or armchair edges. Moreover, omni-directional total reflection, called anti-super Klein tunneling, is observed if the junction is parallel to the armchair edge. Applying the nonequilibrium Green's function method on the tight-binding model, we calculate numerically the current flow. The good agreement of both approaches confirms the atypical transport properties, which can be used in nano-devices to collimate and filter the electron flow, or to switch its direction.
arXiv comment10 pages and 6 figures
References in corpus (48)
- Black phosphorus field-effect transistors
- Chiral tunneling and the Klein paradox in graphene
- Electric field effect in ultrathin black phosphorus
- Quantum interference and Klein tunneling in graphene heterojunctions
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Strain engineered direct-indirect band gap transition and its mechanism in 2D phosphorene
- Direct Observation of Layer-Dependent Electronic Structure in Phosphorene
- Photovoltaic effect in few-layer black phosphorus PN junctions defined by local electrostatic gating
- Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Strain Engineering for Phosphorene: The Potential Application as a Photocatalyst
- Tuning of the electronic and optical properties of single layer black phosphorus by strain
- Enhanced thermoelectric performance of phosphorene by strain-induced band convergence
- Klein tunneling in graphene: optics with massless electrons
- Electron optics with ballistic graphene junctions
- Electron Beam Supercollimation in Graphene Superlattices
- Valley-dependent Brewster angles and Goos-Hanchen effect in strained graphene
- Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
- Strong Thermal Transport Anisotropy and Strain Modulation in Single-Layer Phosphorene
- Gate-controlled Guiding of Electrons in Graphene
- Toward a realistic description of multilayer black phosphorus: from approximation to large-scale tight-binding simulations
- Observation of negative refraction of Dirac fermions in graphene
- Modulation of electronic and mechanical properties of phosphorene through strain
- Graphene Nanobubbles as Valley Filters and Beamsplitters
- Barrier transmission of Dirac-like pseudospin-one particles
- Scaling laws for band gaps of phosphorene nanoribbons: A tight-binding calculation
- Klein tunneling and supercollimation of pseudospin-1 electromagnetic waves
- Strain-induced topological phase transition in phosphorene and phosphorene nanoribbons
- Understanding electron behavior in strained graphene as a reciprocal space distortion
- Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
- Current splitting and valley polarization in elastically deformed graphene
- Valley engineering by strain in Kekulé-distorted graphene
- Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
- Guiding of Electrons in a Few Mode Ballistic Graphene Channel
- Strained fold assisted transport in graphene systems
- Strain and the optoelectronic properties of non-planar phosphorene monolayers
- Tuning anti-Klein to Klein tunneling in bilayer graphene
- Valley filtering and electronic optics using polycrystalline graphene
- Gate tuneable beamsplitter in ballistic graphene
- Local versus extended deformed graphene geometries for valley filtering
- Tuning the electronic properties of gated multilayer phosphorene: A self-consistent tight-binding study
- Proximity induced Colossal Conductivity Modulation in Phosphorene
- Anisotropic transport of normal metal-barrier-normal metal junctions in monolayer phosphorene
- Partial positive refraction in asymmetric Veselago lenses of uniaxially strained graphene
- Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
- Multi-scale approach for strain-engineering of phosphorene
- From Klein to anti-Klein tunneling in graphene tuning the Rashba spin-orbit interaction or the bilayer coupling
- Controlling electron flow in anisotropic Dirac materials heterojunctions: a super-diverging lens
Cited by in corpus (20)
- Angular-dependent Klein tunneling in photonic graphene
- 3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect
- Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
- Gradient-index electron optics in graphene pn junctions
- Electronic and transport properties of anisotropic semiconductor quantum wires
- Electron beam splitting at topological insulator surface states and a proposal for electronic Goos-Hanchen shift measurement
- Graphene nanodrums as valleytronic devices
- Anomalous Floquet tunneling in uniaxially strained graphene
- Phosphorene pnp junctions as perfect electron waveguides
- Kekulé Induced Valley Birefringence and Skew Scattering in Graphene
- Electronic cloaking of confined states in phosphorene junctions
- Black Phosphorus n-type doping by Cu: a microscopic surface investigation
- Anisotropic Pseudospin Tunneling in Two-Dimensional Black Phosphorus Junctions
- Tunneling Effect in Gapped Phosphorene through Double Barriers
- Photonic realization of the kappa-deformed Dirac equation
- Chirality-2 fermion induced anti-Klein tunneling in 2D checkerboard lattice
- Extended transfer matrix method for electron transmission in anisotropic 2D materials: Interplay of strain and (a)periodicity of potentials
- Klein tunneling in deformed honeycomb-dice lattice: from massless to massive particles
- Spin-dependent edge states in two-dimensional Dirac materials with a flat band
- Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control