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The dispersion in the entire Brillouin zone and the temperature dependence (right up to the melting temperature) of the anharmonic frequency shift and phonon damping in a number of fcc metals is investigated on the basis of microscopic…

Condensed Matter · Physics 2009-10-31 M. I. Katsnelson , A. V. Trefilov , K. Yu. Khromov

It is suggested that at the melting temperature the thermal phonon vibration is in self-resonance with the lattice vibration of the surface atomic/molecular layer. This self resonance occurs at a well defined temperature and triggers the…

Materials Science · Physics 2012-05-04 Jozsef Garai

Melting is well understood in terms of the Lindemann criterion, essentially stating that crystalline materials melt when the thermal vibrations of their atoms become such vigorous that they shake themselves free of the binding forces.…

Disordered Systems and Neural Networks · Physics 2023-05-17 P. Lunkenheimer , A. Loidl , B. Riechers , A. Zaccone , K. Samwer

Melting is analyzed dynamically as a problem of localization at a liquid-solid interface. A Lindemann-like criterion of melting is derived in terms of particular vibrational amplitudes, which turn out to equal a universal quotient (about…

Materials Science · Physics 2007-05-23 Vassiliy Lubchenko

Thermal properties of graphene monolayers are studied by path-integral molecular dynamics (PIMD) simulations, which take into account the quantization of vibrational modes in the crystalline membrane, and allow one to consider anharmonic…

Materials Science · Physics 2017-09-18 Carlos P. Herrero , Rafael Ramirez

The Raman active G mode in graphene exhibits strong coupling to electrons, yet the comprehensive treatment of this interaction in the calculation of its temperature-dependent Raman spectrum remains incomplete. In this study, we calculate…

Temperature fluctuations in the normal direction of planar crystals such as graphene are quite violent and may be expected to influence strongly their melting properties. In particular, they will modify the Lindemann melting criterium. We…

Soft Condensed Matter · Physics 2011-10-05 J. Dietel , H. Kleinert

We present first-principles calculations of metallic atomic hydrogen in the 400-600 GPa pressure range in a tetragonal structure with space group $I4_1/amd$, which is predicted to be its first atomic phase. Our calculations show a band…

Superconductivity · Physics 2016-06-01 Miguel Borinaga , Ion Errea , Matteo Calandra , Francesco Mauri , Aitor Bergara

Graphene is a quantum spin Hall insulator with a 45 $\mu$eV wide non-trivial topological gap induced by the intrinsic spin-orbit coupling. Even though this zero-field spin splitting is weak, it makes graphene an attractive candidate for…

This is a numerical study of thermoelectric properties of ballistic bilayer graphene in the presence of trigonal warping term in the effective Hamiltonian. We find, in the mesoscopic samples of the length $L>10\,\mu{}$m at sub-Kelvin…

Mesoscale and Nanoscale Physics · Physics 2018-03-06 Dominik Suszalski , Grzegorz Rut , Adam Rycerz

Graphene has become in last decades a paradigmatic example of two-dimensional and so-called van-der-Waals layered materials, showing large anisotropy in their physical properties. Here we study the elastic properties and mechanical…

Materials Science · Physics 2023-11-22 Carlos P. Herrero , Rafael Ramirez

We propose a general formula for the melting temperature of metals in terms of electronic mass, electronic number, and nearest-neighbor lattice distance. We derive it from the instability of the transverse phonon in the solid phase, using…

Other Condensed Matter · Physics 2015-05-14 Tamifusa Matsuura , Hidenori Suzuki , Ken'ichi Takano , Fumihiro Honda

The features for the unsteady process of thermal equilibration ("the fast motions") in a one-dimensional harmonic crystal lying in a viscous environment (e.g., a gas) are under investigation. It is assumed that initially the displacements…

Statistical Mechanics · Physics 2021-02-16 Serge N. Gavrilov , Anton M. Krivtsov

Isotopic effects are relevant to understand several properties of solids, and have been thoroughly analyzed along the years. These effects may depend on the dimensionality of the considered solid. Here we assess their magnitude for…

Materials Science · Physics 2020-09-04 Carlos P. Herrero , Rafael Ramirez

The understanding of the structural and thermal properties of membranes, low-dimensional flexible systems in a space of higher dimension, is pursued in many fields from string theory to chemistry and biology. The case of a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Mikhail I. Katsnelson , Annalisa Fasolino

Recent mean-field calculations suggest that the superconducting state of twisted bilayer graphene exhibits either a nematic order or a spontaneous breakdown of the time-reversal symmetry. The two-dimensional character of the material and…

Strongly Correlated Electrons · Physics 2023-03-10 Ilaria Maccari , Johan Carlström , Egor Babaev

The calculations of thermal conductivity requires to know anharmonic properties of the crystal. For this purpose a non-perturbative anharmonic theory is applied, which do not make use of the potential energy expansion over atomic…

Materials Science · Physics 2023-01-06 Krzysztof Parlinski

At room temperature, PbTe and SnTe are efficient thermoelectrics with a cubic structure. At low temperature, SnTe undergoes a ferroelectric transition with a critical temperature strongly dependent on the hole concentration, while PbTe is…

Harmonic calculations based on density-functional theory are generally the method of choice for the description of phonon spectra of metals and insulators. The inclusion of anharmonic effects is, however, delicate as it relies on…

Materials Science · Physics 2015-06-17 Ion Errea , Matteo Calandra , Francesco Mauri

The reflectivity properties of graphene with nonzero mass-gap parameter are investigated in the framework of Dirac model using the polarization tensor in (2+1)-dimensional space-time. For this purpose, a more simple explicit representation…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 G. L. Klimchitskaya , V. M. Mostepanenko