Qualitative analysis of trapped Dirac fermions in graphene

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.06.020· OSTI ID:22403413

Jakubský, Vít; Krejčiřík, David

We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac operator, we obtain sufficient and necessary conditions for confinement of the quasi-particles. The rigorous theoretical results are illustrated on the realistic examples of the three classes of traps.

• OSTI ID: 22403413
• Journal Information: Annals of Physics (New York), Vol. 349; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
77 NANOSCIENCE AND NANOTECHNOLOGY
CARBON NANOTUBES
CONFINEMENT
DEFORMATION
DIRAC OPERATORS
FERMIONS
GRAPHENE
MAGNETIC FIELDS
QUASI PARTICLES
SUBSTRATES
VARIATIONAL METHODS