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We present a new mechanism for dissipationless persistent charge current. Two dimensional topological insulators hold dissipationless spin currents in their edges so that, for a given spin orientation, a net charge current flows which is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. Soriano , J. Fernández-Rossier

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

There has been tremendous recent progress in realizing topological insulator initiated by the proposal of Kane and Mele for the graphene system. They have suggested that the odd $Z_2$ index for the graphene manifests the spin filtered edge…

Strongly Correlated Electrons · Physics 2015-05-28 Jun-Won Rhim , Kyungsun Moon

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

We study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Brey , H. A. Fertig

Electronic states at the ends of a narrow armchair nanoribbon give rise to a pair of non-locally entangled spins. We propose two experiments to probe these magnetic states, based on magnetometry and tunneling spectroscopy, in which…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 Michael Golor , Cornelie Koop , Thomas C. Lang , Stefan Wessel , Manuel J. Schmidt

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

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

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

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Hélène Feldner , Zi Yang Meng , Thomas C. Lang , Fakher F. Assaad , Stefan Wessel , Andreas Honecker

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on their width and termination. We show here a full solution of…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 A. García-Fuente , D. Carrascal , G. Ross , J. Ferrer

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

A study of the effect of unscreened Coulomb interactions on the quantum spin Hall (QSH) phase of finite-width neutral zigzag graphene ribbons is presented. By solving a tight-binding Hamiltonian that includes the intrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Mahdi Zarea , Carlos Büsser , Nancy Sandler

We have fabricated graphene nano-ribbon field-effect transistor devices and investigated their electrical properties as a function of ribbon width. Our experiments show that the resistivity of a ribbon increases as its width decreases,…

Materials Science · Physics 2007-12-17 Zhihong Chen , Yu-Ming Lin , Michael J. Rooks , Phaedon Avouris

We determine the stability, the geometry, the electronic and magnetic structure of hydrogen-terminated graphene-nanoribbons edges as a function of the hydrogen content of the environment by means of density functional theory.…

Materials Science · Physics 2008-08-28 Tobias Wassmann , Ari P. Seitsonen , A. Marco Saitta , Michele Lazzeri , Francesco Mauri

We investigate spin conductance in zigzag graphene nanoribbons and propose a spin injection mechanism based only on graphitic nanostructures. We find that nanoribbons with atomically straight, symmetric edges show zero spin conductance, but…

Mesoscale and Nanoscale Physics · Physics 2008-05-02 M. Wimmer , I. Adagideli , S. Berber , D. Tomanek , K. Richter

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

It is well-known that ferromagnetism can be realized along the zigzag graphene nanoribbon edges, but the armchair graphene nanoribbon edges (AGNEs) are nonmagnetic. Here, we achieve Heisenberg antiferromagnetic spin chains through edge…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ning Wu , Bang-Gui Liu

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati

Zigzag edges of neutral armchair-oriented Graphene Nano-Ribbons show states strongly localized at those edges. They behave as free radicals that can capture electrons during processing, increasing ribbon's stability. Thus, charging and its…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 E. Louis , E. San-Fabian , G. Chiappe , J. A. Verges
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