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4 - The Klein paradox and chiral tunneling

Published online by Cambridge University Press:  24 May 2020

Mikhail I. Katsnelson
Mikhail I. Katsnelson
Affiliation:
Radboud Universiteit Nijmegen
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Summary

Starting from a detailed explanation of Klein paradox of relativistic quantum mechanics, we consider a motion of massless Dirac fermions through potential barriers. It is shown that chiral properties of these particles guarantee a penetration through arbitrarily high and broad potential barriers. The role of this phenomenon (chiral tunneling) for graphene physics and technology is explained. We discuss analogy between electronic optics of graphene and optical properties of metamaterials, especially, Veselago lensing effect for massless Dirac fermions. Chiral tunneling in bilayer graphene is discussed.

Keywords

Klein paradoxchiral tunnelingp-n-p (n-p-n) junctionsAnderson localizationMott minimal conductivitysemiclassical approximationelectron opticsVeselago lenses
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Chapter
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The Physics of Graphene , pp. 77 - 107
Publisher: Cambridge University Press
Print publication year: 2020

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