Rashba spin-orbit interaction in graphene armchair nanoribbons

Regular Article

Abstract

We study graphene nanoribbons (GNRs) with armchair edges in the presence of Rashba spin- orbit interactions (RSOI). We impose the boundary conditions on the tight binding Hamiltonians for bulk graphene with RSOI by means of a sine transform and study the influence of RSOI on the spectra and the spin polarization in detail. We derive the low energy approximation of the RSOI Hamiltonian for the zeroth and first order in momentum and test their ranges of validity. The choice of a basis appropriate for armchair boundaries is important in the case of mode-coupling effects and leads to results that are easy to work with.

Keywords

Mesoscopic and Nanoscale Systems 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Lucia Lenz
    • 1
  • Daniel F. Urban
    • 1
    • 2
  • Dario Bercioux
    • 1
    • 3
  1. 1.Freiburg Institute for Advanced StudiesAlbert-Ludwigs-UniversitätFreiburgGermany
  2. 2.Fraunhofer Institute for Mechanics of Materials IWMFreiburgGermany
  3. 3.Dahlem Center for Complex Quantum Systems and Institut für Theoretische PhysikBerlinGermany

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