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Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

We study graphene nanoribbons (GNRs) with armchair edges in the presence of Rashba spin-orbit interaction (RSOI). We impose the boundary conditions on the tight binding Hamiltonians for bulk graphene with RSOI by means of a sine transform…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Lucia Lenz , Daniel F. Urban , Dario Bercioux

Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hongki Min , J. E. Hill , N. A. Sinitsyn , B. R. Sahu , Leonard Kleinman , A. H. MacDonald

Kane and Mele predicted that in presence of spin-orbit interaction graphene realizes the quantum spin Hall state. However, exceptionally weak intrinsic spin-orbit splitting in graphene ($\approx 10^{-5}$ eV) inhibits experimental…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Gabriel Autès , Oleg V. Yazyev

We theoretically study graphene nanoribbons in the presence of spatially varying magnetic fields produced e.g. by nanomagnets. We show both analytically and numerically that an exceptionally large Rashba spin orbit interaction (SOI) of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Jelena Klinovaja , Daniel Loss

We investigate the production of spin-polarized currents in corrugated graphene nanoribbons. Such corrugations are modeled as multiple regions with Rashba spin-orbit interactions, where concave and convex curvatures are treated as Rashba…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Hernán Santos , A. Latgé , L. Brey , Leonor Chico

We discuss the electronic properties of graphene and graphene nanoribbons including "pseudo-Rashba" spin-orbit coupling. After summarizing the bulk properties, we first analyze the scattering behavior close to an infinite mass and zigzag…

Mesoscale and Nanoscale Physics · Physics 2009-11-03 Tobias Stauber , John Schliemann

Graphene, as a material with a small intrinsic spin-orbit interaction of approximately 1 $\mu$eV, has a limited application in spintronics. Adsorption of graphene on the surfaces of heavy-metals was proposed to induce the strong…

Materials Science · Physics 2018-12-27 Elena Voloshina , Yuriy Dedkov

We investigate the effects of Rashba and intrinsic spin-orbit couplings in graphynes. First, we develop a general method to address spin-orbit couplings within the tight-binding theory. Then, we apply this method to $\alpha$, $\beta$, and…

Mesoscale and Nanoscale Physics · Physics 2014-11-13 Guido van Miert , Vladimir Juricic , Cristiane Morais Smith

Recent theoretical and experimental works on carbon nanotubes and graphene samples have revealed that spin-orbit interactions, though customarily ignored in carbon-based materials, are more important and complex than it was thought. We…

Materials Science · Physics 2015-05-20 M. P. López-Sancho , M. C. Muñoz

Intrinsic and Rashba spin-orbit interactions in strained graphene is studied within the tight-binding (TB) approach. Dependence of Slater-Koster (SK) parameters of graphene on strain are extracted by fitting the \emph{ab initio} band…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 H. Rezaei , A. Phirouznia

We study the electronic structure of chiral and achiral graphene nanoribbons with symmetric edges, including curvature and spin-orbit effects. Curved ribbons show spin-split bands, whereas flat ribbons present spin-degenerate bands. We show…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Hernán Santos , M. C. Muñoz , M. P. López-Sancho , Leonor Chico

We present an elaborate and systematic study of the conductance properties of a zigzag bilayer graphene nanoribbon modeled by a Kane-Mele (KM) Hamiltonian. The interplay of the Rashba and the intrinsic spin-orbit couplings with the edge…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Priyanka Sinha , Saurabh Basu

We study the electronic properties of electrons in flat and curved zigzag graphene ribbons using a tight-binding model within the Slater Koster approximation. We find that curvature dramatically enhances the action of spin orbit effects in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. Gosálbez-Martínez , J. J. Palacios , J. Fernández-Rossier

We investigate a novel way to manipulate the spin polarized transmission in a two terminal zigzag graphene nanoribbon in presence of Rashba spin-orbit (SO) interaction with circular shaped cavity engraved into it. A usual technique to…

Mesoscale and Nanoscale Physics · Physics 2018-12-13 Sudin Ganguly , Saurabh Basu , Santanu K. Maiti

We investigate the electronic structure of graphene on a series of 2D hexagonal nitride insulators hXN, X = B, Al, and Ga, with DFT calculations. A symmetry-based model Hamiltonian is employed to extract orbital parameters and spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Klaus Zollner , Aron W. Cummings , Stephan Roche , Jaroslav Fabian

For graphene nanoribbons with Rashba spin-orbit coupling, the peculiar magnetic response due to the presence of a magnetization and geometric confinement are analyzed within a tight-binding model. We observe a sizable transverse…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Matheus S. M. de Sousa , Manfred Sigrist , Wei Chen

A continuum model for the effective spin orbit interaction in graphene is derived from a tight-binding model which includes the $\pi$ and $\sigma$ bands. We analyze the combined effects of the intra-atomic spin-orbit coupling, curvature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. Huertas-Hernando , F. Guinea , A. Brataas

We study the pseudo spin-orbital (SO) effects experienced by massive Dirac particles in graphene, which can potentially be of a larger magnitude compared to the conventional Rashba SO effects experienced by particles in a 2DEG semiconductor…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 S. G. Tan , M. B. A. Jalil , Dax Enshan Koh , Hwee Kuan Lee , Y. H. Wu

We demonstrate that the interplay between structural geometry and Rashba spin-orbit coupling generates nontrivial topological phases in honeycomb nanoribbon heterostructures. We consider an armchair nanoribbon in which a Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Hao-Ru Wu , Jhih-Shih You , Yiing-Rei Chen , Hong-Yi Chen
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