Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
arXiv:1010.0569 · doi:10.1103/PhysRevD.83.047702
Abstract
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in potential barriers in graphene are the prominent electronic characteristics of carbon nanostructures. We show that the phenomena can be explained by a peculiar supersymmetry generated by a first order Hamiltonian and zero order supercharge operators. Like the supersymmetry associated with second order reflectionless finite-gap systems, it relates here the low-energy behavior of the charge carriers with the free particle dynamics.
4 pages, 1 fig., typos corrected
References in corpus (8)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- Evidence of Klein tunneling in graphene p-n junctions
- Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
- Supersymmetry in carbon nanotubes in a transverse magnetic field
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- Hidden Symmetries of Dynamics in Classical and Quantum Physics
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- Qualitative analysis of trapped Dirac fermions in graphene
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- Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
- Soliton defects in one-gap periodic system and exotic supersymmetry
- Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
- Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
- Tunneling dynamics in exactly-solvable models with triple-well potentials
- Complex Supersymmetry in Graphene
- Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions
- Reduction scheme for coupled Dirac systems
- SUSY design of smooth quantum rings in graphene
- Planarizable Supersymmetric Quantum Toboggans