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Title: 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) Utanh(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.
Authors:
 [1] ;  [2]
  1. Novosibirsk State University (Russian Federation)
  2. Russian Academy of Sciences, Institute of Semiconductor Physics, Siberian Branch (Russian Federation)
Publication Date:
OSTI Identifier:
22069303
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 115; Journal Issue: 4; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; APPROXIMATIONS; ELECTRONS; EXACT SOLUTIONS; GRAPHITE; NANOSTRUCTURES; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM MECHANICS; REFLECTION; SINGULARITY; TRANSMISSION