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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

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 investigate the transport properties of a graphene layer in the presence of Rashba spin-orbit interaction. Quite generally, spin-orbit interactions induce spin splittings and modifications of the graphene bandstructure. We calculate…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 M. I. Alomar , David Sanchez

The induced-proximity effects of nearly commensurate lattice structure of a graphene layer on Ni(111) and Co(0001) substrates in the AC stacking configuration are addressed through an analytical tight-binding approach within the…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Mayra Peralta , Ernesto Medina , Francisco Mireles

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

One of the exciting features of two-dimensional (2D) materials is their electronic and optical tunability through strain engineering. Previously, we found a class of 2D ferroelectric Rashba semiconductors PbX (X = S, Se, Te) with tunable…

Materials Science · Physics 2018-06-29 Paul Z. Hanakata , A. S. Rodin , Harold S. Park , David K. Campbell , A. H. Castro Neto

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

The effect of Rashba spin-orbit interaction and anisotropic strain on the electronic, optical and thermodynamic properties of artificial graphene-like superlattice composed of InAs-GaAs quantum dots has been considered theoretically. The…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Vram Mughnetsyan , Aram Manaselyan , Manuk Barseghyan , Albert Kirakosyan , David Laroze

We investigate the effects of Rashba spin-orbit interactions on the electronic band-structure and corresponding wave-functions of graphene. By exactly solving a tight-binding model Hamiltonian we obtain the expected splitting of the bands…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 Mahdi Zarea , Nancy Sandler

We investigate the proximity-induced spin-orbit coupling in heterostructures of twisted graphene and monolayers of transition-metal dichalcogenides (TMDCs) MoS$_2$, WS$_2$, MoSe$_2$, and WSe$_2$ from first principles. We identify strain,…

Mesoscale and Nanoscale Physics · Physics 2023-06-05 Thomas Naimer , Klaus Zollner , Martin Gmitra , Jaroslav Fabian

Proximity effects are one of the pillars of exotic phenomena and technological applications of two dimensional materials. However, the interactions nature depends strongly on the materials involved, their crystalline symmetries, and…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Armando Pezo , Zeila Zanolli , Nils Wittemeier , Pablo Ordejon , Adalberto Fazzio , Stephan Roche , Jose H. Garcia

Strain engineering enables quantum confinement in pristine graphene without degrading its intrinsic mobility and spin coherence. Here, we extend previously proposed strain-induced charge-qubit architectures by incorporating spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Myung-Chul Jung , Nojoon Myoung

We present a theoretical study of the bandstructure and Landau levels in bilayer graphene at low energies in the presence of a transverse magnetic field and Rashba spin-orbit interaction in the regime of negligible trigonal distortion.…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Francisco Mireles , John Schliemann

We investigate the effect of the twist angle on the proximity spin-orbit coupling (SOC) in graphene/NbSe$_2$ heterostructures from first principles. The low-energy Dirac bands of several different commensurate twisted supercells are fitted…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Thomas Naimer , Martin Gmitra , Jaroslav Fabian

We theoretically study the proximity spin-orbit coupling in graphene on transition-metal dichalcogenides monolayer stacked with arbitrary twist angles. We find that the relative rotation greatly enhances the spin splitting of graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Yang Li , Mikito Koshino

We analyze the effect of tensional strain in the electronic structure of graphene. In the absence of electron-electron interactions, within linear elasticity theory, and a tight-binding approach, we observe that strain can generate a bulk…

Materials Science · Physics 2009-07-15 Vitor M. Pereira , A. H. Castro Neto , N. M. R. Peres

The joint effects of Kekul\'e lattice distortions and Rashba-type spin-orbit coupling on the electronic properties of graphene are explored. We modeled the position dependence of the Rashba energy term in a manner that allows its seamless…

The electrical generation of spin signals is of central interest for spintronics, where graphene stands as a relevant platform as its spin-orbit coupling (SOC) is tuned by proximity effects. Here, we propose an enhancement of spin-charge…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Joaquín Medina Dueñas , Santiago Giménez de Castro , Jose H. Garcia , Stephan Roche

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

The proximity-induced spin-orbit coupling (SOC) in heterostructures of twisted graphene and topological insulators (TIs) Bi$_2$Se$_3$ and Bi$_2$Te$_3$ is investigated from first principles. To build commensurate supercells, we strain…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Thomas Naimer , Jaroslav Fabian
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