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It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

The paper presents a theoretical description of the effects of strain induced by out-of-plane deformations on charge distributions and transport on graphene. A review of a continuum model for electrons using the Dirac formalism is…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Dawei Zhai , Nancy Sandler

Materials with strong spin-orbit coupling (SOC) have in recent years become a subject of intense research due to their potential applications in spintronics and quantum information technology. In particular, in systems which break inversion…

We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 A. De Martino , L. Dell'Anna , L. Handt , A. Miserocchi , R. Egger

The electronic band structure of graphene in the presence of spin-orbit coupling and transverse electric field is investigated from first principles using the linearized augmented plane-wave method. The spin-orbit coupling opens a gap at…

Materials Science · Physics 2013-05-29 M. Gmitra , S. Konschuh , C. Ertler , C. Ambrosch-Draxl , J. Fabian

We consider a disordered graphene layer with anisotropic Rashba spin-orbit coupling subjected to a longitudinal electric field. Using the linear response theory we calculate current-induced spin polarization including in-plane normal and…

Mesoscale and Nanoscale Physics · Physics 2017-09-26 Mir Vahid Hosseini

The magnetic moment and spin-polarized electron transport properties of triangular graphene flakes surrounded by boron nitride sheets (BNC structures) are studied by using first-principles calculations based on density functional theory.…

Materials Science · Physics 2024-01-09 Tomoya Ono , Tadashi Ota , Yoshiyuki Egami

We study the spin transport phenomena in two-dimensional graphene-like materials with arbitrary tilted Dirac cones. The tilt arises due to next-nearest hopping when the bottom of the conduction band and top of the valence band does not…

Strongly Correlated Electrons · Physics 2019-05-01 Debabrata Sinha

We investigate the spin relaxation and decoherence in a single-electron graphene quantum dot with Rashba and intrinsic spin-orbit interactions. We derive an effective spin-phonon Hamiltonian via the Schrieffer-Wolff transformation in order…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Marco O. Hachiya , Guido Burkard , J. Carlos Egues

We apply a circularly and linearly polarized terahertz field on a monolayer of graphene taking into account spin-orbit interactions of the intrinsic and Rashba type. It turns out that the field can not only be used to induce a gap in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Andreas Scholz , Alexander López , John Schliemann

The so-called Klein paradox - unimpeded penetration of relativistic particles through high and wide potential barriers - is one of the most exotic and counterintuitive consequences of quantum electrodynamics (QED). The phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

We study the electronic properties of 2D electron gas (2DEG) with quadratic dispersion and with relativistic dispersion as in graphene in the inhomogeneous magnetic field consisting of the Aharonov-Bohm flux and a constant background field.…

Strongly Correlated Electrons · Physics 2011-09-14 A. O. Slobodeniuk , S. G. Sharapov , V. M. Loktev

We analyze the energy spectrum of graphene in the presence of spin-orbit coupling and a unidirectionally periodic Zeeman field, focusing on the stability and location of Dirac points it may support. It is found that the Dirac points at the…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Luis Brey , A. R. Carvalho , H. A. Fertig

Valley chiral kagom\'e networks can arise in various situations, like for example, in double-aligned graphene-hexagonal boron nitride and periodically strained graphene. Here, we construct a phenomenological scattering model based on the…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 P. Wittig , F. Dominguez , P. Recher

Massless Dirac particles on the helicoid are theoretically investigated. With its possible application being helical graphene, we explore how the peculiarities of Dirac particles appear on the curved, screw-symmetric surface. The zweibein…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Masataka Watanabe , Hisato Komatsu , Naoto Tsuji , Hideo Aoki

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

Proximity orbital and spin-orbital effects of graphene on monolayer transition-metal dichalcogenides (TMDCs) are investigated from first-principles. The Dirac band structure of graphene is found to lie within the semiconducting gap of TMDCs…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Martin Gmitra , Denis Kochan , Petra Högl , Jaroslav Fabian

We present a quantum Boltzmann equation analysis of the spin-Hall effect in a diffusive Rashba two-dimensional electron system. Within the framework of the self-consistent Born approximation, we consider the roles of disorder-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Y. Liu , X. L. Lei , Norman J. M. Horing

We review the energy spectrum and transport properties of several types of one- dimensional superlattices (SLs) on single-layer and bilayer graphene. In single-layer graphene, for certain SL parameters an electron beam incident on a SL is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

We utilize the kinetic spin Bloch equation approach to investigate the steady-state spin diffusion in $n$-type (111) GaAs quantum wells, where the in-plane components of the Dresselhaus spin-orbit coupling term and the Rashba term can be…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 B. Y. Sun , K. Shen