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We argue from both technical and physical points of view that the main result shown in the Comment [arXiv:0709.2619] by Cherrolet et al. [Phys. Rev. B 80, 037101 (2009)] as well as the authors' interpretations of the result are not…

Disordered Systems and Neural Networks · Physics 2009-07-28 S. K. Cheung , Z. Q. Zhang

We study the effect of the edge disorder on the conductance of the graphene nanoribbons (GNRs). We find that only very modest edge disorder is sufficient to induce the conduction energy gap in the otherwise metallic GNRs and to lift any…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 M. Evaldsson , I. V. Zozoulenko , Hengyi Xu , T. Heinzel

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

Materials Science · Physics 2009-05-28 D. M. Basko

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 study Anderson transition for light in three dimensions by performing large-scale ab-initio simulations of electromagnetic wave transport in disordered ensembles of conducting spheres. A mobility edge that separates diffusive transport…

Optics · Physics 2025-02-04 Alexey Yamilov , Hui Cao , Sergey E. Skipetrov

We report an experimental investigation of the edge effect on the room-temperature transport in graphene nanoribbon and graphene sheet (both single-layer and bilayer). By measuring the resistance scaling behaviors at both low and high…

Mesoscale and Nanoscale Physics · Physics 2011-02-15 Guangyu Xu , Carlos M. Torres , Jianshi Tang , Jingwei Bai , Emil B. Song , Yu Huang , Xiangfeng Duan , Yuegang Zhang , Kang L. Wang

We theoretically investigate the effects of atomic defect related short-range disorders and electron-electron interactions on Anderson type localization and the magnetic properties of hexagonal armchair graphene quantum dots using an…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. Altıntaş , A. D. Güçlü

The edges of nanoscopic objects determine most of their properties. For this reason the edges of honeycomb carbon--always considered either zigzag- or armchair-like--need special attention. In this report we provide experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2010-11-24 Pekka Koskinen , Sami Malola , Hannu Häkkinen

Why do experiments only observe one magic angle in twisted bilayer graphene, despite standard models like the chiral limit of the Bistritzer-MacDonald Hamiltonian predicting an infinite number? In this article, we explore the relative…

Mathematical Physics · Physics 2025-08-15 Simon Becker , Izak Oltman , Martin Vogel

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

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

In this review, we provide an account of the recent progress in understanding electronic transport in disordered graphene systems. Starting from a theoretical description that emphasizes the role played by band structure properties and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Eduardo R. Mucciolo , Caio H. Lewenkopf

The isolation of graphene has triggered an avalanche of studies into the spin-dependent physical properties of this material, as well as graphene-based spintronic devices. Here we review the experimental and theoretical state-of-art…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Wei Han , Roland K. Kawakami , Martin Gmitra , Jaroslav Fabian

An efficient computational methodology is used to explore charge transport properties in chemically-modified (and randomly disordered) graphene-based materials. The Hamiltonians of various complex forms of graphene are constructed using…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Nicolas Leconte , Aurélien Lherbier , François Varchon , Pablo Ordejon , Stephan Roche , Jean-Christophe Charlier

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

In reply to the Comment by Ramasubramaniam regarding our article [Phys. Rev. B {\bf 81}, 241412(R) (2010)] we clarify that our results are indeed valid provided that out-of-plane atomic relaxations are inhibited, as it may occur in the…

Mesoscale and Nanoscale Physics · Physics 2010-08-09 Giulio Cocco , Emiliano Cadelano , Luciano Colombo

A graphene antidot lattice, created by a regular perforation of a graphene sheet, can exhibit a considerable band gap required by many electronics devices. However, deviations from perfect periodicity are always present in real experimental…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Zheyong Fan , Andreas Uppstu , Ari Harju

In 2004 we have shown that substantial part of conductivity in graphite is provided by holes with massless linear spectrum - Dirac Fermions that coexist with massive normal carriers - electrons. In a recent Letter [Phys. Rev. Lett. 102,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Igor A. Luk'yanchuk , Yakov Kopelevich

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

Atomically-thin materials based on transition metal dichalcogenides and graphene offer a promising avenue for unlocking the mechanisms underlying the spin Hall effect (SHE) in heterointerfaces. Here, we develop a microscopic theory of the…

Mesoscale and Nanoscale Physics · Physics 2024-09-20 David T. S. Perkins , Alessandro Veneri , Aires Ferreira