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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…

Disordered Systems and Neural Networks · Physics 2015-10-30 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

Two-dimensional crystalline membranes have recently been realized experimentally in such systems as graphene and molybdenum disulfide, sparking a resurgence in interest in their statistical properties. Thermal fluctuations can significantly…

Soft Condensed Matter · Physics 2017-07-19 Emily Russell , Rastko Sknepnek , Mark J. Bowick

Previous Raman measurements on supported graphene under high pressure reported a very different shift rate of in-plane phonon frequency of graphene (16 cm$^{-1}$GPa$^{-1}$) from graphite (4.7 cm$^{-1}$GPa$^{-1}$), implying very different…

Materials Science · Physics 2019-10-02 Y. W. Sun , W. Liu , I. Hernandez , J. Gonzalez , F. Rodriguez , D. J. Dunstan , C. J. Humphreys

Thermal properties of graphene display peculiar characteristics associated to the two-dimensional nature of this crystalline membrane. These properties can be changed and tuned in the presence of applied stresses, both tensile and…

Materials Science · Physics 2018-06-07 Carlos P. Herrero , Rafael Ramirez

Crystalline membranes at finite temperatures have an anomalous behavior of the bending rigidity that makes them more rigid in the long wavelength limit. This issue is particularly relevant for applications of graphene in nano- and…

Materials Science · Physics 2010-09-22 K. V. Zakharchenko , R. Roldan , A. Fasolino , M. I. Katsnelson

Indentation experiments on graphene membranes pre-stressed by hydrostatic pressure show an increase in effective elastic modulus from 300 N/m in non pressurized membranes to 700 N/m for pre-strains above 0.5 %. This pronounced dependence of…

We demonstrate that tunable attractive (bonding) and repulsive (anti-bonding) forces can arise in highly asymmetric structures coupled to external radiation, a consequence of the bonding/anti-bonding level repulsion of guided-wave…

Motivated by a freely suspended graphene and polymerized membranes in soft and biological matter we present a detailed study of a tensionless elastic sheet in the presence of thermal fluctuations and quenched disorder. The manuscript is…

Soft Condensed Matter · Physics 2018-09-20 Pierre Le Doussal , Leo Radzihovsky

Graphene membranes suspended off electric contacts or other rigid supports are prone to elastic strain, which is concentrated at the edges and corners of the samples. Such a strain leads to an algebraically varying effective magnetic field…

Mesoscale and Nanoscale Physics · Physics 2010-04-08 Elsa Prada , Pablo San-Jose , Gladys León , Michael M. Fogler , Francisco Guinea

The control of strain in two-dimensional materials opens exciting perspectives for the engineering of their electronic properties. While this expectation has been validated by artificial-lattice studies, it remains elusive in the case of…

The discovery of graphene, a single monolayer of graphite, has closed the discussion on stability of 2D crystals. Although thermal fluctuations of such crystals tend to destroy the long-range order in the system, the crystal can be…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

We develop the elastic theory for inversion-asymmetric tethered membranes and use it to identify and study their possible phases. Asymmetry in a tethered membrane causes spontaneous curvature, which in general depends upon the local…

Statistical Mechanics · Physics 2019-06-05 Tirthankar Banerjee , Niladri Sarkar , John Toner , Abhik Basu

Straining graphene results in the appearance of a pseudo-magnetic field which alters its local electronic properties. Applying a pressure difference between the two sides of the membrane causes it to bend/bulge resulting in a resistance…

Mesoscale and Nanoscale Physics · Physics 2017-08-03 S. P. Milovanovic , M. Z. Tadic , F. M. Peeters

2D crystals, such as graphene, exhibit the higher strength and stiffness of any other known man-made or natural material. So far, this assertion has been primarily based on modelling predictions and on bending experiments in combination…

We investigated the effect of out-of-plane crumpling on the mechanical response of graphene membranes. In our experiments, stress was applied to graphene membranes using pressurized gas while the strain state was monitored through two…

Mesoscale and Nanoscale Physics · Physics 2017-06-29 Ryan J. T. Nicholl , Nickolay V. Lavrik , Ivan Vlassiouk , Bernadeta R. Srijanto , Kirill I. Bolotin

Room temperature simulations of graphene have been performed as a function of the mechanical tension of the layer. Finite-size effects are accurately reproduced by an acoustic dispersion law for the out-of-plane vibrations that, in the…

Materials Science · Physics 2017-03-01 R. Ramirez , C. P. Herrero

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent…

The dynamics of brane-like extended objects in spacetimes with torsion is derived from the conservation equations of stress-energy and spin tensors. Thus obtained world-sheet equations are applied to macroscopic test membranes made of…

General Relativity and Quantum Cosmology · Physics 2010-04-07 Milovan Vasilic , Marko Vojinovic

Thin membranes, such as monolayer graphene of monoatomic thickness, are bound to exhibit lateral buckling under uniaxial tensile loading that impairs its mechanical behaviour. In this work, we have developed an experimental device to…

We present a unique experimental configuration that allows us to determine the interfacial forces on nearly parallel plates made from the thinnest possible mechanical structures, single and few layer graphene membranes. Our approach…

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