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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

Edge states are ubiquitous for many condensed matter systems with multicomponent wave functions. For example, edge states play a crucial role in transport in zigzag graphene nanoribbons. Here, we report microscopic calculations of quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Thomas Christensen , Weihua Wang , Antti-Pekka Jauho , Martijn Wubs , N. Asger Mortensen

We report on nano-infrared (IR) imaging studies of confined plasmon modes inside patterned graphene nanoribbons (GNRs) fabricated with high-quality chemical-vapor-deposited (CVD) graphene on Al2O3 substrates. The confined geometry of these…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Z. Fei , M. D. Goldflam , J. -S. Wu , S. Dai , M. Wagner , A. S. McLeod , M. K. Liu , K. W. Post , S. Zhu , G. C. A. M. Janssen , M. M. Fogler , D. N. Basov

We investigate the energy dispersion of the edge states in zigzag silicene, germanene and stanene nanoribbons with and without hydrogen termination based on a multi-orbital tight-binding model. Since the low buckled structures are crucial…

Mesoscale and Nanoscale Physics · Physics 2018-10-04 Ayami Hattori , Sho Tanaya , Keiji Yada , Masaaki Araidai , Masatoshi Sato , Yasuhiro Hatsugai , Kenji Shiraishi , Yukio Tanaka

A central question in the field of graphene-related research is how graphene behaves when it is patterned at the nanometer scale with different edge geometries. Perhaps the most fundamental shape relevant to this question is the graphene…

Graphene nanoribbons (GNRs) are natural waveguides for electrons in graphene. Nevertheless, unlike micron-sized samples, conductance is nearly suppressed in these narrow graphene stripes, mainly due to scattering with edge disorder…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 E. J. Robles-Raygoza , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos

Bilayer graphene nanoribbon with zigzag edge is investigated with the tight binding model. Two stacking structures, alpha and beta, are considered. The band splitting is seen in the alpha structure, while the splitting in the wave number…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Kikuo Harigaya , Hiroshi Imamura

It is known that zigzag graphene edge is able to support edge states: there is a non-dispersive single-electron band localized near the zigzag edge. However, it is generally believed that no edge states exist near the armchair edge. In this…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 P. A. Maksimov , A. V. Rozhkov , A. O. Sboychakov

We investigate higher-order plasmons in graphene nanoribbons, and present how electronic edge states and wavefunction fine structure influence the graphene plasmons. Based on nearest-neighbor tight-binding calculations, we find that a…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

The evolution of electronic structure of graphene nanoribbons (GNRs) as a function of the number of layers stacked together is investigated using \textit{ab initio} density functional theory (DFT) including interlayer van der Waals…

Materials Science · Physics 2011-10-28 Neerav Kharche , Yu Zhou , Kevin P. O'Brien , Swastik Kar , Saroj K. Nayak

The magnetic properties of black phosphorene nanoribbons are investigated using static and dynamical mean-field theory. Besides confirming the existence of ferromagnetic/antiferromagnetic edge magnetism, our detailed calculations using…

Strongly Correlated Electrons · Physics 2021-02-11 Javad Vahedi , Robert Peters

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

Finite graphene nanoribbon (GNR) heterostructures host intriguing topological in-gap states (Rizzo, D. J. et al.~\textit{Nature} \textbf{2018}, \textit{560}, 204]). These states may be localized either at the bulk edges, or at the ends of…

Mesoscale and Nanoscale Physics · Physics 2019-12-20 Jan-Philip Joost , Antti-Pekka Jauho , Michael Bonitz

Compared to the study of graphene itself, the study of nano-structured graphene is rather limited because it is difficult to prepare atomically ordered edges. In this study, we have fabricated a periodically patterned mesh structure of…

Mesoscale and Nanoscale Physics · Physics 2026-01-19 Takamoto Yokosawa , Tomohiro Matsui

The edge states that emerge at hydrogen-terminated zigzag edges embedded in dominant armchair edges of graphite are carefully investigated by ultrahigh-vacuum scanning tunneling microscopy (STM) measurements. The edge states at the zigzag…

Materials Science · Physics 2009-11-11 Yousuke Kobayashi , Ken-ichi Fukui , Toshiaki Enoki , Koichi Kusakabe

Graphene nano-flakes (GNFs) are predicted to host spin-polarized metallic edge states, which are envisioned for exploration of spintronics at the nanometer scale. To date, experimental realization of GNFs is only in its infancy because of…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Qiushi Zhang , Tszchun Wu , Guowen Kuang , Ayu Xie , Nian Lin

In this paper, we apply the first-principle theory to explore how the electronic structures of armchair graphene nanoribbons (AGNRs) are affected by chemical modifications. The edge addends include H, F, N, NH$_{2}$, and NO$_{2}$. Our…

Materials Science · Physics 2007-11-13 Hao Ren , Qunxiang Li , Haibin Su , Q. W. Shi , Jie Chen , Jinlong Yang

The effect of edge modification of armchair graphene nanoribbons (AGNRs) on the collective excitations are theoretically investigated. The tight-binding method is employed in conjunction with the dielectric function. Unconventional plasmon…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Thi-Nga Do , Po-Hsin Shih , Godfrey Gumbs , Danhong Huang

We numerically investigate quantum rings in graphene and find that their electronic properties may be strongly influenced by the geometry, the edge symmetries and the structure of the corners. Energy spectra are calculated for different…

Mesoscale and Nanoscale Physics · Physics 2009-03-16 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

The unusual electronic and optical properties of armchair and zigzag graphene nanoribbons (GNRs) subject to in-plane transverse electric and perpendicular magnetic fields have been systematically investigated. Our calculations were carried…

Mesoscale and Nanoscale Physics · Physics 2021-03-29 Thi-Nga Do , Po-Hsin Shih , Godfrey Gumbs , Danhong Huang
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