Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
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Author(s)
Shytov, Andrei
Rudner, Mark
Gu, Nan
Katsnelson, Mikhail
Levitov, Leonid
Date Issued
March 2009
Journal
Solid State Communications
Publisher
Elsevier
Version
Author's final manuscript
Abstract
Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective
on the relation between condensed matter and high-energy physics. We discuss atomic collapse,
a novel state of superheavy atoms stripped of their discrete energy levels, which are transformed
into resonant states. Charge impurities in graphene provide a convenient condensed matter system
in which this effect can be explored. Relativistic dynamics also manifests itself in another system,
graphene p-n junctions. We show how the transport problem in the presence of magnetic field can
be solved with the help of a Lorentz transformation, and use it to investigate magnetotransport in
p-n junctions. Finally, we review recent proposal to use Fabry-Perot resonances in p-n-p structures
as a vehicle to investigate Klein scattering, another hallmark phenomenon of relativistic dynamics.
Description
Shytov, Andrei et al. “Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene.” Solid State Communications 149.27-28 (2009): 1087-1093.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Attribution-Noncommercial-Share Alike 3.0 Unported
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DOI of Published Version
http://dx.doi.org/10.1016/j.ssc.2009.02.043
