Quantum mechanics of graphene with a one-dimensional potential

Electron states in graphene with a one-dimensional potential have been studied. An approximate solution has been obtained for a small angle between vectors of the incident electron momentum and potential gradient. Exactly solvable problems with a potential of the smoothened step type U ( x ) = U tan...

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Veröffentlicht in:	Journal of experimental and theoretical physics 2012-10, Vol.115 (4), p.694-705
Hauptverfasser:	Miserev, D. S., Entin, M. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	APPROXIMATIONS Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Electronic Properties of Solid ELECTRONS Elementary Particles EXACT SOLUTIONS Graphene GRAPHITE NANOSCIENCE AND NANOTECHNOLOGY NANOSTRUCTURES ONE-DIMENSIONAL CALCULATIONS Particle and Nuclear Physics Physics Physics and Astronomy POTENTIALS Quantum Field Theory QUANTUM MECHANICS Quantum theory REFLECTION Relativity Theory SINGULARITY Solid State Physics Transistors TRANSMISSION
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Zusammenfassung:	Electron states in graphene with a one-dimensional potential have been studied. An approximate solution has been obtained for a small angle between vectors of the incident electron momentum and potential gradient. Exactly solvable problems with a potential of the smoothened step type U ( x ) = U tanh( x/a ) and a potential with a singularity U ( x ) = − U /(\| x \| + d ) are considered. The transmission/reflection coefficients and phases for various potential barriers are determined. A quasi-classical solution is obtained.
ISSN:	1063-7761 1090-6509
DOI:	10.1134/S1063776112090087