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Hyperbolic lattices, formed by tessellating the hyperbolic plane with regular polygons, exhibit a diverse range of exotic physical phenomena beyond conventional Euclidean lattices. Here, we investigate the impact of disorder on hyperbolic…

Disordered Systems and Neural Networks · Physics 2024-11-20 Tianyu Li , Yi Peng , Yucheng Wang , Haiping Hu

It is difficult to completely eliminate disorder during the fabrication of graphene-based nanodevices. From a simulation perspective, it is straightforward to determine the electronic transport properties of disordered devices if complete…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Shardul Mukim , Meric E. Kucukbas , Stephen R. Power , Mauro S. Ferreira

Graphene has been proposed as a promising material for future nanoelectronics because of its unique electronic properties. Understanding the scaling behavior of this new nanomaterial under common experimental conditions is of critical…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Yang Sui , Tony Low , Mark Lundstrom , Joerg Appenzeller

We study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori

The recent discovery of methods to isolate graphene, a one-atom-thick layer of crystalline carbon, has raised the possibility of a new class of nano-electronics devices based on the extraordinary electrical transport and unusual physical…

Mesoscale and Nanoscale Physics · Physics 2008-10-02 Xu Du , Ivan Skachko , Anthony Barker , Eva Y. Andrei

A tight-binding model with randomly fluctuating atomic positions is studied to discuss the effect of strong disorder in graphene. We employ a strong-disorder expansion for the transport quantities and find a diffusive behavior, where the…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 K. Ziegler

At low values of external doping graphene displays a wealth of unconventional transport properties. Perhaps most strikingly, it supports a robust 'metallic' regime, with universal conductance of the order of the conductance quantum. We here…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland

The electronic transport properties of single layer graphene having a dilute coating of indium adatoms has been investigated. Our studies establish that isolated indium atoms donate electrons to graphene and become a source of charged…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 U. Chandni , Erik A. Henriksen , J. P. Eisenstein

We show that an internal localization mobility edge can appear around the Fermi energy in graphene by introducing impurities in the split-band regimen, or by producing vacancies in the lattice. The edge appears at the center of the spectrum…

Materials Science · Physics 2011-02-04 G. G. Naumis

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

In this comment we wish to clarify and correct some of the statements made in a recent paper by E. G. Mishchenko (Europhys. Lett. 83 (2008) 17005).

Mesoscale and Nanoscale Physics · Physics 2008-09-05 Igor F. Herbut , Vladimir Juricic , Oskar Vafek , Matthew J. Case

We consider finite ribbons of graphene with armchair orientation of their edges to study in detail impurity effects on specific Dirac-like modes. In the framework of Anderson hybrid model of impurity perturbation, a possibility for Mott…

Disordered Systems and Neural Networks · Physics 2022-12-14 Yuriy G. Pogorelov , Vadim M. Loktev

We perform a MonteCarlo simulation in order to study the connection between the morphology and the transport properties of grain boundaries (GBs) in graphene. We explore the configurational space of GBs to generate ensembles of realistic…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 Fernando Gargiulo

We predict a transition to metallicity when a sufficient amount of disorder is induced in graphene. Calculations were performed by means of a first principles stochastic quench method. The resulting amorphous graphene can be seen as…

Materials Science · Physics 2015-05-28 E. Holmstrom , J. Fransson , O. Eriksson , R. Lizarraga , B. Sanyal , M. I. Katsnelson

On-surface synthesis has recently emerged as an effective route towards the atomically precise fabrication of graphene nanoribbons of controlled topologies and widths. However, whether and to which degree structural disorder occurs in the…

A comment on a recent paper (PRL {\bf 94}, 226405 (2005)) by S. De Palo, M. Botti, S. Moroni, and Gaetano Senatore.

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We demonstrate that the spectrum rearrangement can be considered as a precursor of the metal-insulator transition observed in graphene dosed with hydrogen atoms. The Anderson-type transition is attributed to the coincidence between the…

Disordered Systems and Neural Networks · Physics 2015-05-19 Yuriy V. Skrypnyk , Vadim M. Loktev

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

In order to manipulate the properties of graphene, its very important to understand the electronic structure in presence of disorder. We investigate, within a tight-binding description, the effects of disorder in the on-site (diagonal…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 Aftab Alam , Biplab Sanyal , Abhijit Mookerjee

In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $\beta$ of the sites being disordered, while the rest remain clean. It is shown that…

Disordered Systems and Neural Networks · Physics 2024-04-24 Daniil Kochergin , Ivan M. Khaymovich , Olga Valba , Alexander Gorsky