Finite-size effects on the minimal conductivity in graphene with Rashba spin-orbit coupling

Péter Rakyta, László Oroszlány, Andor Kormányos, J. Cserti

Research output: Contribution to journalArticle

1 Citation (Scopus)


We study theoretically the minimal conductivity of monolayer graphene in the presence of Rashba spin-orbit coupling. The Rashba spin-orbit interaction causes the low-energy bands to undergo trigonal-warping deformation and for energies smaller than the Lifshitz energy, the Fermi circle breaks up into parts, forming four separate Dirac cones. We calculate the minimal conductivity for an ideal strip of length L and width W within the Landauer-Büttiker formalism in a continuum and in a tight binding model. We show that the minimal conductivity depends on the relative orientation of the sample and the probing electrodes due to the interference of states related to different Dirac cones. We also explore the effects of finite system size and find that the minimal conductivity can be lowered compared to that of an infinitely wide sample.

Original languageEnglish
Article number12096
Pages (from-to)1-6
Number of pages6
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Publication statusPublished - Jan 1 2016


  • Carbon nanostructures
  • Charge- and spin-transport
  • Mesoscopic systems
  • Quantum wires

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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