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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 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 transport properties of high-quality single-layer graphene, epitaxially grown on a 6H-SiC(0001) substrate. We have measured transport properties, in particular charge carrier density, mobility, conductivity and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Johannes Jobst , Daniel Waldmann , Florian Speck , Roland Hirner , Duncan K. Maude , Thomas Seyller , Heiko B. Weber

On the efforts of enhancing the spin orbit interaction (SOI) of graphene for seeking the dissipationless quantum spin Hall devices, unique Kane-Mele type SOI and high mobility samples are desired. However, common external decoration often…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Zhanbin Bai , Rui Wang , Yazhou Zhou , Tianru Wu , Jianlei Ge , Jing Li , Yuyuan Qin , Fucong Fei , Lu Cao , Xuefeng Wang , Xinran Wang , Shuai Zhang , Liling Sun , You Song , Fengqi Song

In this review article we describe spin-dependent transport in materials with spin-orbit interaction of Rashba type. We mainly focus on semiconductor heterostructures, topological insulators, graphene and hybrid structures involving…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 Dario Bercioux , Procolo Lucignano

Interfacial interactions allow the electronic properties of graphene to be modified, as recently demonstrated by the appearance of satellite Dirac cones in the band structure of graphene on hexagonal boron nitride (hBN) substrates. Ongoing…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Zhe Wang , Dong-Keun Ki , Hua Chen , Helmuth Berger , Allan H. MacDonald , Alberto F. Morpurgo

We study graphene which has both spin-orbit coupling (SOC), taken to be of the Kane-Mele form, and a Zeeman field induced due to proximity to a ferromagnetic material. We show that a zigzag interface of graphene having SOC with its pristine…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Ranjani Seshadri , K. Sengupta , Diptiman Sen

Transport properties of a two-dimensional electron gas (2DEG) are studied in the presence of a perpendicular magnetic field $B$, of a {\it weak} one-dimensional (1D) periodic potential modulation, and of the spin-orbit interaction (SOI)…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. F. Wang , P. Vasilopoulos , F. M. Peeters

We evaluate the distribution of Hall conductances in magnetic subbands of two-dimensional electron gas with Rashba spin-orbit (SO) coupling placed in a periodic potential and perpendicular magnetic field. In this semiconductor structure the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Ya. Demikhovskii , A. A. Perov

We study the spin Hall effect (SHE) in graphene using a realistic multi-orbital tight-binding model that includes the atomic spin-orbit interaction. The SHE is found to be induced by the spin-dependent Aharonov-Bohm phase. In the metallic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Seiichiro Onari , Yasuhito Ishikawa , Hiroshi Kontani , Jun-ichiro Inoue

The coupling of spin and electronic degrees of freedom via the spin-orbit interaction (SOI) is an essential ingredient for many proposed future technologies. However, probing the strength and nature of SOI is a significant challenge,…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Kazuki Nakazawa , Henry F. Legg , Renato M. A. Dantas , Jelena Klinovaja , Daniel Loss

We study electron transport through waveguides (WGs) in which the strengths of the Rashba ($\alpha$) and Dresselhaus ($\beta$) terms of the spin-orbit interaction (SOI) vary in space. Subband mixing, due to lateral confinement, is taken…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 P. M. Krstajic , E. Rezasoltani , P. Vasilopoulos

An analytical approach to calculation of the conductivity tensor, $\sigma$, of a two-dimensional (2D) electron system with Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field is proposed. The electron momentum relaxation is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. G. Novokshonov , A. G. Groshev

We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external…

High Energy Physics - Theory · Physics 2008-11-26 C. G. Beneventano , E. M. Santangelo

Introduction of spin-orbit interaction (SOI) into graphene with weak hydrogenation ($\sim$0.1\%) by dissociation of hydrogen silsesquioxane resist has been confirmed through the appearance of inverse spin Hall effect. The spin current was…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Taketomo Nakamura , Junji Haruyama , Shingo Katsumoto

Using the four-terminal Landauer-B\"{u}ttiker formula and Green's function approach, we calculate numerically the spin-Hall conductance in a two-dimensional junction system with the Rashba spin-orbit (SO) coupling and disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Sheng , D. N. Sheng , C. S. Ting

The spin Hall effect of a Dirac Hamiltonian system is studied using semiclassical analyses and the Kubo formula. In this system, the spin Hall conductivity is dependent on the definition of spin current. All components of the spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Zhendong Chi , Guanxiong Qu , Yong-Chang Lau , Masashi Kawaguchi , Junji Fujimoto , Koki Takanashi , Masao Ogata , Masamitsu Hayashi

Graphene-based van der Waals heterostructures take advantage of tailoring spin-orbit coupling (SOC) in the graphene layer by proximity effect. At long-wavelength -- saddled by the electronic states near the Dirac points -- the proximitized…

Mesoscale and Nanoscale Physics · Physics 2024-02-22 Wun-Hao Kang , Michael Barth , Aitor Garcia-Ruiz , Alina Mreńca-Kolasińska , Ming-Hao Liu , Denis Kochan

We address spin dependent transport through an array of diamonds in the presence of Rashba spin-orbit (SO) interaction where each diamond plaquette is penetrated by an Aharonov-Bohm (AB) flux $\phi$. The diamond chain is attached…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

Electronic properties of materials are commonly described by quasiparticles that behave as non-relativistic electrons with a finite mass and obey the Schroedinger equation. Here we report a condensed matter system where electron transport…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 K. S. Novoselov , A. K. Geim , S. V. Morozov , D. Jiang , M. I. Katsnelson , I. V. Grigorieva , S. V. Dubonos , A. A. Firsov