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The paper addresses boundary electronic properties of graphene with a complex edge structure of the armchair/zigzag/armchair type. It is shown that the finite zigzag region supports edge bound states with discrete equidistant spectrum…

Mesoscale and Nanoscale Physics · Physics 2009-02-02 Grigory Tkachov

We show that the ground state of zigzag bilayer graphene nanoribbons is non-magnetic. It also possesses a finite gap, which has a non-monotonic dependence with the width as a consequence of the competition between bulk and strongly…

Materials Science · Physics 2009-04-03 Matheus P. Lima , A. Fazzio , Antônio J. R. da Silva

Electronic and magnetic properties of ribbon-shaped nanographite systems with zigzag and armchair edges in a magnetic field are investigated by using a tight binding model. One of the most remarkable features of these systems is the…

Materials Science · Physics 2016-08-31 Katsunori Wakabayashi , Mitsutaka Fujita , Hiroshi Ajiki , Manfred Sigrist

The scattering of a Gaussian wavepacket in armchair and zigzag graphene edges is theoretically investigated by numerically solving the time dependent Schr\"odinger equation for the tight-binding model Hamiltonian. Our theory allows to…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 D. R. da Costa , A. Chaves , G. A. Farias , L. Covaci , F. M. Peeters

Sublattices A and B are opposite in the decay direction of the edge state of the zigzag graphene ribbon (ZGR). Detecting exponential growth from the zigzag edges to the ZGR center remains challenging. The tight-binding model calculations in…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 Ryo Tamura

Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

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

We study narrow zigzag graphene nanoribbons (ZGNRs), employing density functional theory (DFT) simulations and the tight-binding (TB) method. The main result of these calculations is the braiding of the conduction and valence bands,…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 J. H. Correa , A. Pezo , M. S. Figueira

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

In this study, we investigate the electronic and magnetic properties of graphane nanoribbons. We find that zigzag and armchair graphane nanoribbons with H-passivated edges are nonmagnetic semiconductors. While bare armchair ribbons are also…

Materials Science · Physics 2010-05-20 Hasan Sahin , Can Ataca , Salim Ciraci

We study scattering on an ultra-low potential in armchair graphene nanoribbon. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augumented scattering matrix, we derive a…

Mathematical Physics · Physics 2019-01-16 V. A. Kozlov , S. A. Nazarov , A. Orlof

A graphene nano-ribbon with armchair edges is known to have no edge state. However, if the nano-ribbon is in the quantum spin Hall (QSH) state, then there must be helical edge states. By folding a graphene ribbon to a ring and threading it…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Bor-Luen Huang , Ming-Che Chang , Chung-Yu Mou

Using a nearest-neighbor tight-binding model we investigate quantum effects of plasmons on few-nanometer wide graphene nanoribbons, both for zigzag and armchair edge terminations. With insight from the Dirac description we find an emerging…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

We report on the configurations and electronic properties of graphyne and graphdiyne nanoribbons with armchair and zigzag edges investigated with first principles calculations. Our results show that all the nanoribbons are semiconductors…

Mesoscale and Nanoscale Physics · Physics 2013-10-25 Lida Pan , Lizhi Zhang , Boqun Song , Shixuan Du , Hongjun Gao

Graphene is a stable single atomic layer material exhibiting two-dimensional electron gas of massless Dirac fermions of high mobility. One of the intriguing properties of graphene is a possibility of realization of the Tamm-type edge…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Yu. I. Latyshev , A. P. Orlov , V. A. Volkov , V. V. Enaldiev , I. V. Zagorodnev , O. F. Vyvenko , Yu. V. Petrov , P. Monceau

Edge states in 2D materials are vital for advancements in spintronics, quantum computing, and logic transistors. For graphene nanoribbons, it is well known that the zigzag edges can host edge states, but realization of armchair edge states…

Optics · Physics 2025-03-12 Qi Zhong , Yongsheng Liang , Shiqi Xia , Daohong Song , Zhigang Chen

The low-energy spectrum of graphene nanoribbons with armchair edges (armchair nanoribbons) is described as the superposition of two non-equivalent Dirac points of graphene. In spite of the lack of well-separated two valley structures, the…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Yositake Takane , Katsunori Wakabayashi

Consider the tight binding model of graphene, sharply terminated along an edge ${\bf l}$ parallel to a direction of translational symmetry of the underlying period lattice. We classify such edges ${\bf l}$ into those of "zigzag type" and…

Mathematical Physics · Physics 2022-11-01 C. L. Fefferman , S. Fliss , M. I. Weinstein

We study the properties of edge states in in-plane heterostructures made of adjacent zigzag graphene and BN ribbons. While in pure zigzag graphene nanoribbons, gapless edge states are nearly flat and cannot contribute significantly to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Van Truong Tran , Jérôme Saint-Martin , Philippe Dollfus

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux