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Related papers: Edge States in Silicene Nanodisks

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Properties of bulk and boundaries of materials can, in general, be quite different, both for topological and non-topological reasons. One of the simplest boundary problems to pose is the tight-binding problem of noninteracting electrons on…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Anton Talkachov , Egor Babaev

We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It…

Mesoscale and Nanoscale Physics · Physics 2008-01-16 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , A. H. Castro Neto , F. Guinea

Using ab-initio methods we calculate thermoelectric and spin thermoelectric properties of silicene nanoribbons with bare, mono-hydrogenated and di-hydrogenated edges. Asymmetric structures, in which one edge is either bare or…

Materials Science · Physics 2017-09-13 K. Zberecki , R. Swirkowicz , J. Barnaś

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

Stone-Wales (SW) defects are favorably existed in graphenelike materials with honeycomb lattice structure and potentially employed to change the electronic properties in band engineering. In this paper, we investigate structural and…

Mesoscale and Nanoscale Physics · Physics 2016-04-01 Rui Wang , Shaofeng Wang , Xiaozhi Wu

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

A zigzag graphene nanodisk can be interpreted as a quantum dot with an internal degree of freedom. It is well described by the infinite-range Heisenberg model. We have investigated its thermodynamical properties. There exists a quasi-phase…

Mesoscale and Nanoscale Physics · Physics 2009-10-06 Motohiko Ezawa

Graphene's original promise to succeed silicon faltered due to pervasive edge disorder in lithographically patterned deposited graphene and the lack of a new electronics paradigm. Here we demonstrate that the annealed edges in…

We investigate quantum Hall effects in silicene by applying electric field $E_z$ parallel to magnetic field. Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, and shares almost every remarkable property…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 Motohiko Ezawa

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

Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. A nanodisk can be interpletted as a quantum dot with an internal degree of freedom. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-24 Motohiko Ezawa

We have investigated electronic and magnetic properties of graphene nanodisks (nanosize triangular graphene) as well as electromechanical properties of graphene nanojunctions. Nanodisks are nanomagnets made of graphene, which are robust…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Motohiko Ezawa

We investigate the electronic structure and transport properties of twisted bilayer graphene (TBLG) at a twist angle of $\theta\approx 1.696\text{{\deg}}$. Using a combination of molecular dynamics and tight-binding calculations, we find…

Silicene consists of a monolayer of silicon atoms in a buckled honeycomb structure. It was recently discovered that the symmetry of such a system allows for interesting Rashba spin-orbit effects. A perpendicular electric field is able to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Florian Geissler , Jan Carl Budich , Björn Trauzettel

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier

Considerably different properties emerge in nanomaterials as a result of quantum confinement and edge effects. In this study, the electronic and magnetic properties of quasi zero dimensional silicene nanoflakes (SiNFs) are investigated…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Sadegh Mehdi Aghaei , Ingrid Torres , Irene Calizo

We study the band structure and transport property of a zigzag silicene nanoribbon when the electric fields are applied to the edges. It is found that a band bending could be induced and controlled by the antisymmetric edge fields, which…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Wei-Tao Lu , Qing-Feng Sun , Hong-Yu Tian , Ben-Hu Zhou , Hong-Mei Liu

The edge physics of graphene based systems is well known to be highly sensitive to the atomic structure at the boundary, with localized zero mode edge states found only on the zigzag type termination of the lattice. Here we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 M. Fleischmann , R. Gupta , D. Weckbecker , W. Landgraf , O. Pankratov , V. Meded , S. Shallcross

Recent years have witnessed great interest in the quantum spin Hall effect (QSHE) which is a new quantum state of matter with nontrivial topological property due to the scientific importance as a novel quantum state and the technological…

Materials Science · Physics 2012-02-08 Cheng-Cheng Liu , Wanxiang Feng , Yugui Yao

We investigate the interplay between the edge and bulk states, induced by the Rashba spin-orbit coupling, in a zigzag silicene nanoribbon in the presence of an external electric field. The interplay can be divided into two kinds, one is the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Xing-Tao An , Yan-Yang Zhang , Jian-Jun Liu , Shu-Shen Li