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We consider a model of Dirac fermions coupled to flexural phonons to describe a graphene sheet fluctuating in dimension $2+d$. We derive the self-consistent screening equations for the quantum problem, exact in the limit of large $d$. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Francisco Guinea , Pierre Le Doussal , Kay Joerg Wiese

Apart from its unique and exciting electronic properties, many sensor based applications of graphene are purely based on its mechanical and structural properties. Here we report a numerical and analytical study of a void in amorphous (small…

Materials Science · Physics 2018-08-01 Sandeep K. Jain , Gerard T. Barkema

Thermal fluctuations of single layer hydrogenated graphene (graphane) are investigated using large scale atomistic simulations. By analyzing the mean square value of the height fluctuations $<h^2>$ and the height-height correlation function…

Materials Science · Physics 2015-06-05 S. Costamagna , M. Neek-Amal , J. H. Los , F. M. Peeters

The buckling of thin elastic sheets is a classic mechanical instability that occurs over a wide range of scales. In the extreme limit of atomically thin membranes like graphene, thermal fluctuations can dramatically modify such mechanical…

Statistical Mechanics · Physics 2021-12-13 Suraj Shankar , David R. Nelson

A major achievement of the past decade has been the realization of macroscopic quantum systems by exploiting interactions between optical cavities and mechanical resonators. In these systems, phonons are coherently annihilated or created in…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 R. De Alba , F. Massel , I. R. Storch , T. S. Abhilash , A. Hui , P. L. McEuen , H. G. Craighead , J. M. Parpia

The surface tension $\sigma$ of free-standing graphene is studied by path-integral simulations as a function of the temperature and the in-plane stress. Even if the applied stress vanishes, the membrane displays a finite surface tension…

Materials Science · Physics 2018-06-27 R. Ramirez , C. P. Herrero

Central to most applications involving monolayer graphene is its mechanical response under various stress states. To date most of the work reported is of theoretical nature and refers to tension and compression loading of model graphene.…

Suspended membranes of monoatomic graphene exhibit great potential for applications in electronic and nanoelectromechanical devices. In this work, a "hot and dry" transfer process is demonstrated to address the fabrication and patterning…

The role of electron-phonon interactions is experimentally and theoretically investigated near the saddle point absorption peak of graphene. The differential optical transmission spectra of multiple, non-interacting layers of graphene…

In this paper we formulate the equilibrium equation of a beam made of graphene material subjected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear boundary value…

Materials Science · Physics 2015-10-08 Mohamed B. Elgindi , Dongming Wei , Tarek M. Elgindi

Single layer graphene simply-supported on a polymer substrate was subjected to axial compression and its behavior upon loading was monitored with laser Raman spectroscopy (LRS). The graphene was found to fail by wrinkling (buckling) at a…

Understanding how the mechanical behavior of materials deviates at the nanoscale from the macroscopically established concepts is a key challenge of particular importance for graphene, given the complex interplay between its nanoscale…

Mesoscale and Nanoscale Physics · Physics 2012-10-26 Levente Tapaszto , Traian Dumitrica , Sung J. Kim , Peter Nemes-Incze , Chanyong Hwang , Laszlo P. Biro

Graphene exhibits extraordinary electronic and mechanical properties, and extremely high thermal conductivity. Being a very stable atomically thick membrane that can be suspended between two leads, graphene provides a perfect test platform…

We have measured the mechanical properties of few-layer graphene and graphite flakes that are suspended over circular holes. The spatial profile of the flake's spring constant is measured with an atomic force microscope. The bending…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Menno Poot , Herre S. J. van der Zant

Suspended graphene samples are observed to be gently rippled rather than being flat. In [M. Friedrich, U. Stefanelli. Graphene ground states, arXiv:1802.05049], we have checked that this nonplanarity can be rigorously described within the…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Manuel Friedrich , Ulisse Stefanelli

We report a comprehensive micro-Raman study of a pressurized suspended graphene membrane that hermetically seals a circular pit, etched in a Si/SiO$_2$ substrate. Placing the sample under a uniform pressure load results in bulging of the…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Dominik Metten , François Federspiel , Michelangelo Romeo , Stéphane Berciaud

Scanning tunneling microscopy experiments have revealed an spontaneous rippled-to-buckled transition in heated graphene sheets, in absence of any mechanical load. Several models relying on a simplified picture of the interaction between…

Soft Condensed Matter · Physics 2023-11-28 G. García-Valladares , C. A. Plata , A. Prados

Free standing silicene is predicted to display comparable electronic properties as graphene. However, the yet synthesized silicene-like structures have been only realized on different substrates which turned out to exhibit versatile…

Materials Science · Physics 2015-06-18 G. R. Berdiyorov , M. Neek-Amal , F. M. Peeters , Adri C. T. van Duin

A quantum field theory approach is applied to investigate the dynamics of flexural phonons in a metallic membrane like graphene, looking for the effects deriving from the strong interaction between the electronic excitations and elastic…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 J. Gonzalez

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…