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

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2016

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Rakyta, Péter
Oroszlány, László
Kormányos, Andor
Cserti, József

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https://doi.org/10.1016/j.physe.2015.08.037
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Physica E : Low-dimensional Systems and Nanostructures. 2016, 75, pp. 1-6. ISSN 1386-9477. eISSN 1873-1759. Available under: doi: 10.1016/j.physe.2015.08.037

Zusammenfassung

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.

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530 Physik

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

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ISO 690RAKYTA, Péter, László OROSZLÁNY, Andor KORMÁNYOS, József CSERTI, 2016. Finite-size effects on the minimal conductivity in graphene with Rashba spin-orbit coupling. In: Physica E : Low-dimensional Systems and Nanostructures. 2016, 75, pp. 1-6. ISSN 1386-9477. eISSN 1873-1759. Available under: doi: 10.1016/j.physe.2015.08.037
BibTex
@article{Rakyta2016Finit-33212,
  year={2016},
  doi={10.1016/j.physe.2015.08.037},
  title={Finite-size effects on the minimal conductivity in graphene with Rashba spin-orbit coupling},
  volume={75},
  issn={1386-9477},
  journal={Physica E : Low-dimensional Systems and Nanostructures},
  pages={1--6},
  author={Rakyta, Péter and Oroszlány, László and Kormányos, Andor and Cserti, József}
}
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