English

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

Mesoscale and Nanoscale Physics 2015-05-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0907.3871,
  title  = {Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene},
  author = {M. Ramezani Masir and P. Vasilopoulos and F. M. Peeters},
  journal= {arXiv preprint arXiv:0907.3871},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T13:27:50.362Z