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Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene

Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene

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KORMANYOS, Andor, Guido BURKARD, 2013. Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene. In: Physical Review B. 87(4). ISSN 1098-0121. eISSN 1550-235X

@article{Kormanyos2013Intri-26536, title={Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene}, year={2013}, doi={10.1103/PhysRevB.87.045419}, number={4}, volume={87}, issn={1098-0121}, journal={Physical Review B}, author={Kormanyos, Andor and Burkard, Guido} }

2014-02-24T12:54:16Z Kormanyos, Andor deposit-license Burkard, Guido Physical Review B ; 87 (2013), 4. - 045419 We present a combined group-theoretical and tight-binding approach to calculate the intrinsic spin-orbit coupling (SOC) in ABC stacked trilayer graphene. We find that compared to monolayer graphene (S. Konschuh, M. Gmitra, and J. Fabian [Phys. Rev. B 82, 245412 (2010)]), a larger set of d orbitals (in particular the d<sub>z</sub>2 orbital) needs to be taken into account. We also consider the intrinsic SOC in bilayer graphene, because the comparison between our tight-binding bilayer results and the density functional computations of S. Konschuh, M. Gmitra, D. Kochan, and J. Fabian [Phys. Rev. B 85, 115423 (2012)] allows us to estimate the values of the trilayer SOC parameters as well. We also discuss the situation when a substrate or adatoms induce strong SOC in only one of the layers of bilayer or ABC trilayer graphene. Both for the case of intrinsic and externally induced SOC we derive effective Hamiltonians which describe the low-energy spin-orbit physics. We find that at the K point of the Brillouin zone the effect of Bychkov-Rashba type SOC is suppressed in bilayer and ABC trilayer graphene compared to monolayer graphene. 2014-02-24T12:54:16Z Kormanyos, Andor Burkard, Guido eng 2013 Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene

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