Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene

Details Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene

2009-07-22

arxiv.org/abs/0907.3871v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 13 figures, to appear in New Journal of Physics

Scientific paper

The properties of Dirac electrons in a magnetic superlattice (SL) on graphene consisting of very high and thin (delta-function) barriers are investigated. We obtain the energy spectrum analytically and study the transmission through a finite number of barriers. The results are contrasted with those for electrons described by the Schrodinger equation. In addition, a collimation of an incident beam of electrons is obtained along the direction perpendicular to that of the SL. We also highlight the analogy with optical media in which the refractive index varies in space.

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