Polarization Optics Analogy of Quantum Wavefunctions in Graphene

Abstract

Detailed similarities between polarization states of light and ballistic charge carriers in graphene are derived. Based on these, the optical equivalent of quantum wavefunctions, Dirac equation, and the effect of an electrostatic potential are found, and the quantum analog of the refractive index of light and of the optical composition law of reflection coefficients are obtained. The differences between the behavior of quantum wavefunctions in graphene and electromagnetic fields, due to the chiral symmetry of ballistic charge carriers that cannot be mimicked in classical polarization optics, are also evidenced.

References in corpus (13)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
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• Klein Backscattering and Fabry-Perot Interference in Graphene Heterojunctions
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• Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
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• Stokes Parameters as a Minkowskian Four-vector
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• Jones-matrix Formalism as a Representation of the Lorentz Group
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Cited by in corpus (5)

• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Perfectly Conducting Graphene Electronic Waveguide with Curved Channels
• Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene
• Coherent Transport in Y-Junction Graphene Waveguide
• Optical analogues of quantum chirality