Intrinsic ripples in graphene.

  title={Intrinsic ripples in graphene.},
  author={A. Fasolino and Jan H. Los and Mikhail I. Katsnelson},
  journal={Nature materials},
  volume={6 11},
The stability of two-dimensional (2D) layers and membranes is the subject of a long-standing theoretical debate. According to the so-called Mermin-Wagner theorem, long-wavelength fluctuations destroy the long-range order of 2D crystals. Similarly, 2D membranes embedded in a 3D space have a tendency to be crumpled. These fluctuations can, however, be suppressed by anharmonic coupling between bending and stretching modes meaning that a 2D membrane can exist but will exhibit strong height… 

Rippling ultrafast dynamics of suspended 2D monolayers, graphene

The observation of rippling dynamics in suspended monolayer graphene is reported, the prototypical and most-studied 2D material, using ultrafast electron crystallography (UEC), to quantitatively elucidate the deformation dynamics of the graphene unit cell.

On the origin of non-classical ripples in draped graphene sheets

: 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

Mirror Buckling Transitions in Freestanding Graphene Membranes Induced through Scanning Tunneling Microscopy

Graphene has the ability to provide for a technological revolution. First isolated and characterized in 2004, this material shows promise in the field of flexible electronics. The electronic

Ultraflat graphene

Graphene monolayers that are flat down to the atomic level are fabricated by deposition on the atomically flat terraces of cleaved mica surfaces, indicating the suppression of any existing intrinsic ripples in graphene.

Study of transport properties in graphene nanostructures in the presence of deformations

We study the effect of the out-of-plane deformations on the electronic and transport properties of particular graphene nanostructures. Specifically, we consider graphene nanoribbon, hexagonal and

Atomically sharp non-classical ripples in graphene

A fundamental property of a material is the measure of its deformation under applied stress. After studying the mechanical properties of bulk materials for the past several centuries, with the

Graphene structures at an extreme degree of buckling.

First-principles calculations suggest that significant anisotropic changes in the electronic structure of graphene are induced by the buckling, and the overall buckled structures demonstrate geometric complexity with cascaded features.

Functionalization of group-14 two-dimensional materials

  • M. Krawiec
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2018
This topical review explores structural, electronic and magnetic properties of Xenes and addresses the question of their functionalization in various ways, including external factors acting simultaneously, which points to future directions to be explored in functionalization of Xene.



The structure of suspended graphene sheets

These studies by transmission electron microscopy reveal that individual graphene sheets freely suspended on a microfabricated scaffold in vacuum or air are not perfectly flat: they exhibit intrinsic microscopic roughening such that the surface normal varies by several degrees and out-of-plane deformations reach 1 nm.

The rise of graphene.

Owing to its unusual electronic spectrum, graphene has led to the emergence of a new paradigm of 'relativistic' condensed-matter physics, where quantum relativistic phenomena can now be mimicked and tested in table-top experiments.

Experimental observation of the quantum Hall effect and Berry's phase in graphene

An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene.

Anharmonic magnetic deformation of self-assembled molecular nanocapsules.

A complete form of the free energy functional is proposed that accounts for an enhanced rigidity found which cannot be explained within the Helfrich model, and allows discussion of the formation and stability of nanocapsules in solution.

Two-dimensional gas of massless Dirac fermions in graphene

This study reports an experimental study of a condensed-matter system (graphene, a single atomic layer of carbon) in which electron transport is essentially governed by Dirac's (relativistic) equation and reveals a variety of unusual phenomena that are characteristic of two-dimensional Dirac fermions.

Structural, electronic, and chemical properties of nanoporous carbon.

The authors' density-functional theory calculations show that structural motifs derived from defects in distorted graphene sheets can be present in high concentration (up to 1%), leading to local charging and controlling the material's chemical function, for example, as a catalyst.

First-principles determination of the structural, vibrational and thermodynamic properties of diamond, graphite, and derivatives

The structural, dynamical, and thermodynamic properties of diamond, graphite and layered derivatives (graphene, rhombohedral graphite) are computed using a combination of density-functional theory

Fluctuations in membranes with crystalline and hexatic order

We study the interplay between crystalline (or hexatic) order and thermal fluctuations in membranes with vanishing surface tension. If the connectivity of the crystalline state is preserved, the

Lattice Dynamics of Pyrolytic Graphite

The frequencies of certain normal modes of vibration of the graphite lattice have been studied on samples of high-quality pyrolytic graphite by coherent, inelastic-neutron-scattering techniques. Some

Diffraction from Polymerized Membranes

These results show how information about the size, thickness, and internal structure of polymerized membranes can be extracted from diffraction experiments.