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Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

其他凝聚态物理 · 物理学 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

Suspended graphene exhibits ripples of size ranging from 50 to 100 {\AA} and height $\sim$10{\AA}, however, their origin remains undetermined. Previous theoretical works have proposed that rippling in graphene might be generated by the…

介观与纳米尺度物理 · 物理学 2020-07-08 Tommaso Cea , Miguel Ruiz-Garcia , Luis Bonilla , Francisco Guinea

The stability of two-dimensional (2D) layers and membranes is subject of a long standing theoretical debate. According to the so called Mermin-Wagner theorem, long wavelength fluctuations destroy the long-range order for 2D crystals.…

材料科学 · 物理学 2011-01-14 A. Fasolino , J. H. Los , M. I. Katsnelson

Graphene is a famous realization of elastic crystalline 2D membrane. Thermal fluctuations of a 2D membrane tend to destroy the long-range order in the system. Such fluctuations are stabilized by strong anharmonicity effects, which preserve…

无序系统与神经网络 · 物理学 2015-10-30 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

Graphene is the nature's thinnest elastic membrane, with exceptional mechanical and electrical properties. We report the direct observation and creation of one-dimensional (1D) and 2D periodic ripples in suspended graphene sheets, using…

介观与纳米尺度物理 · 物理学 2009-07-28 Wenzhong Bao , Feng Miao , Zhen Chen , Hang Zhang , Wanyoung Jang , Chris Dames , Chun Ning Lau

Graphene is the stiffest material known so far but, due to its one-atom thickness, it is also very bendable. Consequently, free-standing graphene exhibit ripples that has major effects on its elastic properties. Here we will summarize three…

材料科学 · 物理学 2021-07-01 Guillermo Lopez-Polin , Cristina Gomez-Navarro , Julio Gomez-Herrero

Meyer et al (2007) found that free-standing graphene sheets, just one atom thick, display spontaneous ripples. The ripples are of order 2-20 {\AA} high and 20-200 {\AA} wide. The sheets in which they appear are only one atom thick, and…

材料科学 · 物理学 2009-11-13 Rebecca C. Thompson-Flagg , Maria J. B. Moura , M. Marder

The recent discovery of graphene has sparked significant interest, which has so far been focused on the peculiar electronic structure of this material, in which charge carriers mimic massless relativistic particle. However, the structure of…

介观与纳米尺度物理 · 物理学 2007-05-23 Jannik C. Meyer , A. K. Geim , M. I. Katsnelson , K. S. Novoselov , T. J. Booth , S. Roth

Graphene on a dielectric substrate exhibits spatial doping inhomogeneities, forming electron-hole puddles. Understanding and controlling the latter is of crucial importance for unraveling many of graphene's fundamental properties at the…

介观与纳米尺度物理 · 物理学 2015-05-27 S. C. Martin , S. Samaddar , B. Sacépé , A. Kimouche , J. Coraux , F. Fuchs , B. Grévin , H. Courtois , C. B. Winkelmann

Graphene is a realization of an esoteric class of materials -- electronic crystalline membranes. We study the interplay between the free electrons and the two-dimensional crystal, and find that it induces a substantial effect on the elastic…

材料科学 · 物理学 2009-03-31 Doron Gazit

Graphene ripples possess peculiar essential properties owing to the strong chemical bonds, as an investigation using first principle calculations clearly revealed. Various charge distributions, bond lengths, energy bands, and densities of…

材料科学 · 物理学 2015-01-08 Shih-Yang Lin , Shen-Lin Chang , Feng-Lin Shyu , Jian-Ming Lu , Ming-Fa Lin

Ever since the discovery of graphene and subsequent explosion of interest in single atom thick materials, studying their mechanical properties has been an active area of research. New length scales often necessitate a rethinking of physical…

We report here on a method to fabricate and characterize highly perfect, periodically rippled graphene monolayers and islands, epitaxially grown on single crystal metallic substrates under controlled UHV conditions. The periodicity of the…

材料科学 · 物理学 2015-05-13 B. Borca , S. Barja , M. Garnica , J. J. Hinarejos , A. L. Vazquez de Parga , R. Miranda , F. Guinea

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

介观与纳米尺度物理 · 物理学 2008-01-08 L. Brey , J. J. Palacios

Intrinsic ripples with various configurations and sizes were reported to affect the physical and chemical properties of 2D materials. By performing molecular dynamics simulations and theoretical analysis, we use two geometric models of the…

材料科学 · 物理学 2022-08-31 Jin Yu , Mikhail I. Katsnelson , Shengjun Yuan

We study the mechanism of wrinkling of suspended graphene, by means of atomistic simulations. We argue that the structural instability under edge compression is the essential physical reason for the formation of periodic ripples in…

材料科学 · 物理学 2015-05-27 Zhao Wang , Michel Devel

Wrinkling is a ubiquitous phenomenon in two-dimensional membranes. In particular, in the large-scale growth of graphene on metallic substrates, high densities of wrinkles are commonly observed. Despite their prevalence and potential impact…

介观与纳米尺度物理 · 物理学 2012-07-13 Wenjuan Zhu , Tony Low , Vasili Perebeinos , Ageeth A. Bol , Yu Zhu , Hugen Yan , Jerry Tersoff , Phaedon Avouris

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (due to, for example, neutral impurities) is mostly irrelevant for electronic quality of graphene,…

介观与纳米尺度物理 · 物理学 2007-12-06 M. I. Katsnelson , A. K. Geim

We show that the interaction between flexural phonons, when corrected by the exchange of electron-hole excitations, may place the graphene sheet very close to a quantum critical point characterized by the strong suppression of the bending…

介观与纳米尺度物理 · 物理学 2011-02-11 P. San-Jose , J. Gonzalez , F. Guinea

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

介观与纳米尺度物理 · 物理学 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson
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