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The zigzag edge of a graphene nanoribbon possesses a unique electronic state that is near the Fermi level and localized at the edge carbon atoms. We investigate the chemical reactivity of these zigzag edge sites by examining their reaction…

Chemical Physics · Physics 2007-05-23 De-en Jiang , Bobby G. Sumpter , Sheng Dai

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

The electron-phonon matrix element for edge states of carbon nanotubes and graphene at zigzag edges is calculated for obtaining renormalized energy dispersion of the edge states. Self-energy correction by electron-phonon interaction…

Mesoscale and Nanoscale Physics · Physics 2007-06-21 K. Sasaki , K. Sato , J. Jiang , R. Saito , S. Onari , Y. Tanaka

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

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

Nanographenes with zigzag edges are predicted to manifest non-trivial pi-magnetism resulting from the interplay of hybridization of localized frontier states and Coulomb repulsion between valence electrons. This provides a chemically…

A comprehensive first-principles theoretical study of the electronic properties and half-metallic nature of finite rectangular graphene nanoribbons is presented. We identify the bisanthrene isomer of the C28H14 molecule to be the smallest…

Materials Science · Physics 2008-01-13 Oded Hod , Veronica Barone , Gustavo E. Scuseria

We consider plane junctions with graphene electrodes, which are formed by a single-level system ("molecule") placed between the edges of two single-layer graphene half planes. We calculate the edge Green functions of the electrodes and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Dmitry A. Ryndyk , Jan Bundesmann , Ming-Hao Liu , Klaus Richter

Graphene nanostructures can be engineered with atomic precision to display customized electronic states with application in spintronics or quantum technologies. In order to take advantage of their full potential, their charge and spin state…

Using a tight binding model, we theoretically study the electronic properties of zigzag boron-carbon-nitride (BCN) nanoribbons where the outermost C atoms of zigzag graphene nanoribbons are replaced with B and N atoms. We show that the flat…

Materials Science · Physics 2013-05-23 Tomoaki Kaneko , Kikuo Harigaya

We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight binding calculations we show that perfect armchair edges give rise to equidistant peaks in the focusing spectrum. In the…

Mesoscale and Nanoscale Physics · Physics 2010-03-22 Peter Rakyta , Andor Kormanyos , Jozsef Cserti , Pekka Koskinen

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

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

In cove-edged zigzag graphene nanoribbons (ZGNR-C), one terminal CH group per length unit is removed on each zigzag edge, forming a regular pattern of coves which controls their electronic structure. Based on three structural parameters…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Florian M. Arnold , Tsai-Jung Liu , Agnieszka Kuc , Thomas Heine

Using a multi-orbital tight-binding model, we have studied the edge states of zigzag silicene, germanene, and stanene nanoribbons (ZSiNRs, ZGeNRs and ZSnNRs, respectively) in the presence of the Coulomb interaction and a vertical electric…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Ayami Hattori , Keiji Yada , Masaaki Araidai , Masatoshi Sato , Kenji Shiraishi , Yukio Tanaka

We discuss the electronic properties of graphene and graphene nanoribbons including "pseudo-Rashba" spin-orbit coupling. After summarizing the bulk properties, we first analyze the scattering behavior close to an infinite mass and zigzag…

Mesoscale and Nanoscale Physics · Physics 2009-11-03 Tobias Stauber , John Schliemann

Motivated by recent advances in fabricating graphene nanostructures, we find that an electron can be trapped in Z-shaped graphene nanoconstriction with zigzag edges. The central section of the constriction operates as a single-level quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-23 Adam Rycerz

We investigate the properties of the gap-edge states of half-filled interacting disordered zigzag graphene nanoribbons. We find that the midgap states can display the quantized fractional charge of 1/2. These gap-edge states can be…

Strongly Correlated Electrons · Physics 2019-04-29 Y. H. Jeong , S. -R. Eric Yang , M. -C. Cha

We demonstrate that free graphene sheet edges can curl back on themselves,reconstructing as nanotubes. This results in lower formation energies than any other non-functionalised edge structure reported to date in the literature. We…

Vibrational properties of graphene nanoribbons are examined with density functional based tight-binding method and non-resonant bond polarization theory. We show that the recently discovered reconstructed zigzag edge can be identified from…

Materials Science · Physics 2009-11-13 S. Malola , H. Häkkinen , P. Koskinen