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The nature of its intrinsic ripples is the key factor for understanding the stability of suspended graphene, and for unraveling the long-standing theoretical debate of the existence of low-dimensional crystalline state. The rippling…

Materials Science · Physics 2015-04-17 Yangfan Hu

Graphene has emerged as an electronic material that is promising for device applications and for studying two-dimensional electron gases with relativistic dispersion near two Dirac points. Nonetheless, deviations from Dirac-like…

Materials Science · Physics 2009-07-23 M. L. Teague , A. P. Lai , J. Velasco , C. R. Hughes , A. D. Beyer , M. W. Bockrath , C. N. Lau , N. -C. Yeh

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

Naturally occurring materials are often disordered, with their bulk properties being challenging to predict from the structure, due to the lack of underlying crystalline axes. In this paper, we develop a digital pipeline from…

Disordered Systems and Neural Networks · Physics 2025-04-15 Caitlyn Obrero , Mastawal Tirfe , Carmen Lee , Sourabh Saptarshi , Christopher Rock , Karen E. Daniels , Katherine A. Newhall

Owing to their unprecedented electronic properties, graphene and two-dimensional (2D) crystals have brought fresh opportunities for advances in planar spintronic devices. Graphene is an ideal medium for spin transport while also being an…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 I. G. Serrano , J. Panda , Fernand Denoel , Örjan Vallin , Dibya Phuyal , Olof Karis , M. Venkata Kamalakar

In this paper we systemically study the optical conductivity and density of states of disorded graphene beyond the Dirac cone approximation. The optical conductivity of graphene is computed by using the Kubo formula, within the framework of…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Shengjun Yuan , Rafael Roldán , Hans De Raedt , Mikhail I. Katsnelson

Spontaneous intervalley coherence is suspected in several different graphene multilayer systems, but is difficult to confirm because of a paucity of convenient experimental signatures. Here we suggest that magneto-conductance features…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Nemin Wei , Yongxin Zeng , A. H. MacDonald

Transport properties of disordered electron system can be characterized by the conductance, Lyapunov exponent, or level spacing. Two additional parameters, $K_{11}$ and $\gamma $ were introduced recently which measure the non-homogeneity of…

Disordered Systems and Neural Networks · Physics 2015-03-17 P. Markos

Two-dimensional (2D) materials for their versatile band structures and strictly 2D nature have attracted considerable attention over the past decade. Graphene is a robust material for spintronics owing to its weak spin-orbit and hyperfine…

Mesoscale and Nanoscale Physics · Physics 2017-01-30 Kuei-Lin Chiu , Yang Xu

The discovery of the integer quantum Hall effect in the early eighties of the last century, with highly precise quantization values for the Hall conductance in multiples of $e^2/h$, has been the first fascinating manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Alessandro Cresti , Branislav K. Nikolić , Jose Hugo García , Stephan Roche

We discuss the effect of certain types of static disorder, like that induced by curvature or topological defects, on the quantum correction to the conductivity in graphene. We find that when the intervalley scattering time is long or…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. F. Morpurgo , F. Guinea

We report a theoretical low-field magnetotransport study unveiling the effect of pseudospin in realistic models of weakly disordered graphene-based materials. Using an efficient Kubo computational method, and simulating the effect of…

Mesoscale and Nanoscale Physics · Physics 2016-03-11 Frank Ortmann , Alessandro Cresti , Gilles Montambaux , Stephan Roche

This review presents the state of the art in strain and ripple-induced effects on the electronic and optical properties of graphene. It starts by providing the crystallographic description of mechanical deformations, as well as the…

Mesoscale and Nanoscale Physics · Physics 2017-08-22 Gerardo G. Naumis , Salvador Barraza-Lopez , Maurice Oliva-Leyva , Humberto Terrones

A sheet of graphene under magnetic bias attains anisotropic surface conductivity, opening the door for realizing compact devices such as Faraday rotators, isolators and circulators. In this paper, an accurate and analytical method is…

Optics · Physics 2019-10-23 Mahdi Rahmanzadeh , Behzad Rejaei , Mohammad Memarian , Amin Khavasi

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Louis G. C. S. Sá , A. L. R. Barbosa , J. G. G. S. Ramos

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We study localized plasmons at the nanoscale (nano-plasmons) in graphene. The collective excitations of induced charge density modulations in graphene are drastically changed in the vicinity of a single impurity compared to graphene's bulk…

Materials Science · Physics 2013-12-19 Hari Dahal , Rodrigo A. Muniz , Stephan Haas , Matthias J. Graf , Alexander V. Balatsky

Computing atomic-scale properties of chemically disordered materials requires an efficient exploration of their vast configuration space. Traditional approaches such as Monte Carlo or Special Quasirandom Structures either entail sampling an…

Materials Science · Physics 2026-03-17 Maciej J. Karcz , Luca Messina , Eiji Kawasaki , Emeric Bourasseau

The conductivity of graphene samples with various levels of disorder is investigated for a set of specimens with mobility in the range of $1-20\times10^3$ cm$^2$/V sec. Comparing the experimental data with the theoretical transport…

Mesoscale and Nanoscale Physics · Physics 2008-01-02 Y. -W. Tan , Y. Zhang , K. Bolotin , Y. Zhao , S. Adam , E. H. Hwang , S. Das Sarma , H. L. Stormer , P. Kim

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic {\pi}-{\pi}* tight-binding model elaborated from ab initio calculations. Mean free paths and…