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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• A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
• Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
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• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field
• SUSY design of smooth quantum rings in graphene
• The soliton nature of the super-Klein tunneling effect