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Proximity-induced fine features and spin-textures of the electronic bands in graphene-based van der Waals heterostructures can be explored from the point of tailoring a twist angle. Here we study spin-orbit coupling and exchange coupling…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Karol Szałowski , Marko Milivojević , Denis Kochan , Martin Gmitra

We study spin control for an electron confined in a flake of silicene. We find that the lowest-energy conduction-band levels are split by the diagonal intrinsic spin-orbit coupling into Kramers doublets with a definite projection of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-30 Bartlomiej Szafran , Alina Mrenca-Kolasinska , Bartlomiej Rzeszotarski , Dariusz Zebrowski

We investigate the spin-resolved transport in a two-terminal zigzag graphene nanoribbon device with two independent gate induced Rashba spin-orbit coupling regions and in the presence of strain. By employing a recursive Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 G. S. Diniz , E. Vernek , F. M. Souza

Based on kinetic equations for the density matrix, drift-diffusion equations are derived for a two-dimensional electron gas with Rashba spin-orbit coupling. Universal results are obtained for the weak coupling case. Most interesting is the…

Statistical Mechanics · Physics 2009-11-13 V. V. Bryksin , P. Kleinert

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

We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Tobias Frank , Jaroslav Fabian

We study one dimensional quasiperiodic system obtained from the tight-binding model on the square lattice in a uniform magnetic field with the spin orbit interaction. The phase diagram with respect to the Harper coupling and the Rashba…

Statistical Mechanics · Physics 2008-10-21 Mahito Kohmoto , Daijiro Tobe

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

Despite its extremely weak intrinsic spin-orbit coupling (SOC), graphene has been shown to acquire considerable SOC by proximity coupling with exfoliated transition metal dichalcogenides (TMDs). Here we demonstrate strong induced Rashba SOC…

Graphene is described at low-energy by a massless Dirac equation whose eigenstates have definite chirality. We show that the tendency of Coulomb interactions in lightly doped graphene to favor states with larger net chirality leads to…

Strongly Correlated Electrons · Physics 2007-06-13 Yafis Barlas , T. Pereg-Barnea , Marco Polini , Reza Asgari , A. H. MacDonald

We study the pseudospin and spin dynamical effects in single-layer silicene due to a perpendicular electric field periodically driven and its interplay with the intrinsic and extrinsic (Rashba) spin-orbit interaction. We find that the spin…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Alexander Lopez , Francisco Mireles , John Schliemann , Benjamin Santos

We discuss the calculation of evanescent states in quasi-one-dimensional quantum wires in the presence of Rashba spin-orbit interaction. We suggest a computational algorithm devised for cases in which longitudinal and transverse motions are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Llorens Serra , David Sanchez , Rosa Lopez

We present semiclassical and quantum mechanical results for the effects of a strong magnetic field in Quantum Wires in the presence of Rashba Spin Orbit coupling. Analytical and numerical results show how the perturbation acts in the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Bellucci , P. Onorato

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

Pseudo-magnetic field becomes an experimental reality after the observation of zero-field Landau level-like quantization in strained graphene, but it is not expected that the time-reversal symmetric pseudo-magnetic fields will have any…

Mesoscale and Nanoscale Physics · Physics 2013-08-13 Wen-Yu He , Lin He

Ultracold atomic gases provide a novel platform with which to study spin-orbit coupling, a mechanism that plays a central role in the nuclear shell model, atomic fine structure and two-dimensional electron gases. This paper introduces a…

Quantum Gases · Physics 2015-06-22 Q. Guan , X. Y. Yin , S. E. Gharashi , D. Blume

Spin-orbit splitting in graphene on Ni, Au, or Ag (111) substrates was examined on the basis of density-functional theory. Graphene grown on the three metals was found to have Rashba splitting of a few or several tens of meV. The strong…

Mesoscale and Nanoscale Physics · Physics 2010-08-05 Z. Y. Li , S. Qiao , Z. Q. Yang , R. Q. Wu

We investigate topological properties of models that describe graphene on realistic substrates which induce proximity spin-orbit coupling in graphene. A $\mathbb{Z}_2$ phase diagram is calculated for the parameter space of (generally…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Tobias Frank , Petra Högl , Martin Gmitra , Denis Kochan , Jaroslav Fabian

Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory. When formulated in…

Mathematical Physics · Physics 2009-04-11 S. Blanes , F. Casas , J. A. Oteo , J. Ros

Recent experiments indicate that crystalline graphene multilayers exhibit much of the richness of their twisted counterparts, including cascades of symmetry-broken states and unconventional superconductivity. Interfacing Bernal bilayer…

Strongly Correlated Electrons · Physics 2025-09-16 Jin Ming Koh , Jason Alicea , Étienne Lantagne-Hurtubise