CHIRAL TUNNELLING AND THE KLEIN PARADOX IN GRAPHENE PDF

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A Nature Research Journal. The so-called Klein paradox—unimpeded penetration of relativistic particles through high and wide potential barriers—is one of the most exotic and counterintuitive consequences of quantum electrodynamics. The phenomenon is discussed in many contexts in particle, nuclear and astro-physics but direct tests of the Klein paradox using elementary particles have so far proved impossible.

Here we show that the effect can be tested in a conceptually simple condensed-matter experiment using electrostatic barriers in single- and bi-layer graphene. Owing to the chiral nature of their quasiparticles, quantum tunnelling in these materials becomes highly anisotropic, qualitatively different from the case of normal, non-relativistic electrons. Klein, O.

Die reflexion von elektronen an einem potentialsprung nach der relativistischen dynamik von Dirac. Greiner, W. Google Scholar. Grib, A.

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Correspondence to M. Katsnelson or A. Reprints and Permissions. Katsnelson, M. Nature Phys 2, — Download citation. Received : 18 April Accepted : 20 June Published : 20 August Issue Date : 01 September International Journal of Modern Physics E Progress in Materials Science Chemical Physics The European Physical Journal Plus Optical and Quantum Electronics Advanced search.

Skip to main content. Register your interest. Abstract The so-called Klein paradox—unimpeded penetration of relativistic particles through high and wide potential barriers—is one of the most exotic and counterintuitive consequences of quantum electrodynamics. Access through your institution. Buy or subscribe.

Change institution. Rent or Buy article Get time limited or full article access on ReadCube. Figure 1: Tunnelling through a potential barrier in graphene. Figure 2: Klein-like quantum tunnelling in graphene systems. Figure 3: Chiral versus non-chiral tunnelling.

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Chiral Tunneling and the Klein Paradox in Graphene

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Chiral tunneling and the Klein paradox in graphene

In , physicist Oskar Klein [1] obtained a surprising result by applying the Dirac equation to the familiar problem of electron scattering from a potential barrier. In nonrelativistic quantum mechanics, electron tunneling into a barrier is observed, with exponential damping. Moreover, as the potential approaches infinity, the reflection diminishes and the electron is always transmitted. The immediate application of the paradox was to Rutherford's proton—electron model for neutral particles within the nucleus, before the discovery of the neutron. The paradox presented a quantum mechanical objection to the notion of an electron confined within a nucleus. The meaning of this paradox was intensely debated at the time.

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Klein paradox

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Geim Published Physics Nature Physics. The so-called Klein paradox—unimpeded penetration of relativistic particles through high and wide potential barriers—is one of the most exotic and counterintuitive consequences of quantum electrodynamics. The phenomenon is discussed in many contexts in particle, nuclear and astro-physics but direct tests of the Klein paradox using elementary particles have so far proved impossible. View on Springer.

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Chiral tunnelling and the Klein paradox in graphene

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