Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene

Abstract

We use the Wick-rotated time-dependent supersymmetry to construct models of two-dimensional Dirac fermions in presence of an electrostatic grating. We show that there appears omnidirectional perfect transmission through the grating at specific energy. Additionally to being transparent for incoming fermions, the grating hosts strongly localized states.

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Cited by in corpus (16)

• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Complex Supersymmetry in Graphene
• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions
• Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
• Magnetic field effect on tunneling through triple barrier in AB bilayer graphene
• Reduction scheme for coupled Dirac systems
• A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
• Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
• Tunneling in ABC trilayer graphene superlattice
• Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field
• SUSY design of smooth quantum rings in graphene
• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• The soliton nature of the super-Klein tunneling effect
• Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators