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Related papers: Disordered Graphene Ribbons as Topological Multicr…

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We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

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

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

We demonstrate the topological properties of the band-gap of armchair graphene nanoribbons in a spatially varying staggered sublattice potential. Several general scaling laws are presented to quantify the band gap variation. It is found…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 T. E. O'Brien , Chao Zhang , Anthony R. Wright

The $\pi$-electronic structure of graphene in the presence of a modulated electric potential is investigated by the tight-binding model. The low-energy electronic properties are strongly affected by the period and field strength. Such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. H. Ho , Y. H. Chiu , S. J. Tsai , M. F. Lin

Low-energy Landau levels of AB-stacked zigzag graphene ribbons in the presence of a uniform perpendicular magnetic field (\textbf{B}) are investigated by the Peierls coupling tight-binding model. State energies and associated wave functions…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. C. Huang , C. P. Chang , W. S. Su , M. F. Lin

We analyze the electronic structure of twisted bilayer graphene (TBG) nanoribbons close to the magic angle. We describe a transition from an incomplete to a complete moir\'e structure. By considering zigzag and armchair edge terminations,…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Elias Andrade , Pierre A. Pantaleón , Francisco Guinea , Gerardo G. Naumis

We study the localization properties of the wavefunctions in graphene flakes with short range disorder, via the numerical calculation of the Inverse Participation Ratio($IPR$) and it scaling which provides the fractal dimension $D_{2}$. We…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Ioannis Kleftogiannis , Ilias Amanatidis

Edge states in topological insulators (TIs) disperse symmetrically about one of the time-reversal invariant momenta $\Lambda$ in the Brillouin zone (BZ) with protected degeneracies at $\Lambda$. Commonly TIs are distinguished from trivial…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 H. Deshpande , R. Winkler

We employ the formalism of bond currents, expressed in terms of the nonequilibrium Green functions, to image the charge flow between two sites of the honeycomb lattice of graphene ribbons of few nanometers width. In sharp contrast to…

Mesoscale and Nanoscale Physics · Physics 2007-10-18 Liviu P. Zarbo , Branislav K. Nikolic

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

Characterized by zigzag and armchair boundaries, the narrow ribbons display the very different characteristics in Hall conductivities. It is shown that the multi-band-crossings occur in the energy spectrum for armchair ribbons, and the…

Mesoscale and Nanoscale Physics · Physics 2009-04-02 Junfeng Liu , Zhongshui Ma

The characteristics of energy band spectrum of armchair graphene nanoribbons in presence of line defect are analyzed within a simple non-interacting tight-binding framework. In metallic nanoribbons an energy gap may or may not appear in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

Electronic transport with a line (or a few lines) of Anderson type disorder in a zigzag graphene nanoribbon is investigated in presence of Rashba spin-orbit interaction. Such line disorders give rise to peculiar behavior in both charge as…

Mesoscale and Nanoscale Physics · Physics 2019-01-01 Sudin Ganguly , Saurabh Basu , Santanu K. Maiti

Zigzag phosphorene nanoribbons have quasi-flat band edge modes entirely detached from the bulk states. We analytically study the electronic transport through such edge states in the presence of a localized defect for semi-infinite and…

Disordered Systems and Neural Networks · Physics 2019-03-26 M. Amini , M. Soltani

We calculate the average single particle density of states in graphene with disorder due to impurity potentials. For unscreened short-ranged impurities, we use the non-self-consistent and self-consistent Born and $T$-matrix approximations…

Mesoscale and Nanoscale Physics · Physics 2008-10-18 Ben Yu-Kuang Hu , E. H. Hwang , S. Das Sarma

Graphene clusters consisting of 24 to 150 carbon atoms and hydrogen termination at the zigzag boundary edges have been studied, as well as clusters disordered by vacancy(s). Density Function Theory and Gaussian03 software were used to…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 N. Kheirabadi , A. Shafiekhani

Graphene is a two-dimensional (2D) semimetal with high mobility in charge carriers due to the existence of Dirac points. Silicene is another promising material, with properties analog to graphene. Many silicon (Si) based electronic devices…

Materials Science · Physics 2021-09-07 K M Abeywickrama , P K D D P Pitigala , W W P De Silva

The chapter generalizes results on influence of uniaxial strain and adsorption on the electron states and charge transport or localization in graphene with different configurations of imperfections (point defects): resonant (neutral)…

We provide a thorough study of a carbon divacancy, a fundamental but almost unexplored point defect in graphene. Low temperature scanning tunneling microscopy (STM) imaging of irradiated graphene on different substrates enabled us to…