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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.…

Materials Science · Physics 2011-01-14 A. Fasolino , J. H. Los , M. I. Katsnelson

We study the non equilibrium Casimir-Lifshitz force between graphene-based parallel structures held at different temperatures and in presence of an external thermal bath at a third temperature. The graphene conductivity, which is itself a…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 Youssef Jeyar , Kevin Austry , Minggang Luo , Brahim Guizal , H. B. Chan , Mauro Antezza

The low-temperature thermal conductivity in polycrystalline graphene is theoretically studied. The contributions from three branches of acoustic phonons are calculated by taking into account scattering on sample borders, point defects and…

Materials Science · Physics 2015-06-05 D. V. Kolesnikov , V. A. Osipov

The mechanical response of solids depends on temperature because the way atoms and molecules respond collectively to deformation is affected at various levels by thermal motion. This is a fundamental problem of solid state science and plays…

Soft Condensed Matter · Physics 2015-06-12 Alessio Zaccone , Eugene M. Terentjev

We study thermal fluctuations of a free-standing bilayer graphene subject to vanishing external tension. Within a phenomenological theory, the system is described as a stack of two continuum crystalline membranes, characterized by finite…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Achille Mauri , David Soriano , Mikhail I. Katsnelson

The Lindemann criterion is reformulated in terms of the average shear modulus $G_c$ of the melting crystal, indicating a critical melting shear strain which is necessary to form the many different inherent states of the liquid. In glass…

Disordered Systems and Neural Networks · Physics 2016-03-21 U. Buchenau , R. Zorn , M. A. Ramos

The freestanding twisted bilayer graphene (TBG) is unstable, below a critical twist angle {\theta}_c~3.7 degrees, against a moire (2 \times 1) buckling distortion at T=0. Realistic simulations reveal the concurrent unexpected collapse of…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Jin Wang , Ali Khosravi , Andrea Silva , Michele Fabrizio , Andrea Vanossi , Erio Tosatti

We have investigated the anisotropic thermal expansion of graphite using ab-initio calculation of lattice dynamics and anharmonicity of the phonons, which reveal that the negative thermal expansion (NTE) in the a-b plane below 600 K and…

Materials Science · Physics 2021-05-05 Ranjan Mittal , Mayanak K. Gupta , Baltej Singh , S. K. Mishra , Samrath L. Chaplot

Graphene bilayers display peculiar electronic and mechanical characteristics associated to their two-dimensional character and relative disposition of the sheets. Here we study nuclear quantum effects in graphene bilayers by using…

Materials Science · Physics 2019-06-17 Carlos P. Herrero , Rafael Ramirez

In this paper, we present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field. The resulting spectrum is used to determine the partition function, a key quantity in the study of thermodynamic properties.…

Application of the magnetic field parallel to the plane of the graphene sheet leads to the formation of electron- and hole-like Fermi surfaces. Such situation is shown to be unstable with respect to the formation of an excitonic condensate…

Mesoscale and Nanoscale Physics · Physics 2012-04-10 I. L. Aleiner , D. E. Kharzeev , A. M. Tsvelik

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

A revisiting of the Lindemann criterion under the recently established minimal viscosity formulation is proposed which uncovers intriguing insights into the melting process. The approach suggests that melting involves competition between…

Other Condensed Matter · Physics 2024-01-12 Pablo G. Tello , Sauro Succi

Graphene [1] and its bilayer have generated tremendous excitement in the physics community due to their unique electronic properties [2]. The intrinsic physics of these materials, however, is partially masked by disorder, which can arise…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Benjamin E. Feldman , Jens Martin , Amir Yacoby

If we stack up two layers of graphene while changing their respective orientation by some twisting angle, we end up with a system that has striking differences when compared to single-layer graphene. For a very specific value of this twist…

Mesoscale and Nanoscale Physics · Physics 2024-09-18 Eduardo B. Molinero , Anushree Datta , María J. Calderón , Elena Bascones , Rui E. F. Silva

Understanding the microscopic processes affecting the bulk thermal conductivity is crucial to develop more efficient thermoelectric materials. PbTe is currently one of the leading thermoelectric materials, largely thanks to its low thermal…

Materials Science · Physics 2011-06-07 O. Delaire , J. Ma , K. Marty , A. F. May , M. A. McGuire , M. -H. Du , D. J. Singh , A. Podlesnyak , G. Ehlers , M. Lumsden , B. C. Sales

Graphene is a very promising material for nanoelectronics applications due to its unique and remarkable electronic and thermal properties. However, when deposited on metallic electrodes the overall thermal conductivity is significantly…

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

Anharmonic lattice vibrations govern the thermal dynamics in materials and present how the atoms interact and how they conduct heat. An indepth understanding of the microscopic mechanism of phonon anharmonicity in condensed systems is…

Materials Science · Physics 2021-12-30 Bin Wei , Qiyang Sun , Chen Li , Jiawang Hong

Amorphous solids manifest puzzling effects of mysterious degrees of freedom that give rise to a heat capacity and phonon scattering in great excess over what would be expected for a solid that has a unique vibrational ground state. Of…

Disordered Systems and Neural Networks · Physics 2018-10-11 Vassiliy Lubchenko