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The efficient and accurate calculation of how ionic quantum and thermal fluctuations impact the free energy of a crystal, its atomic structure, and phonon spectrum is one of the main challenges of solid state physics, especially when strong…

We formulate a first-principle scheme for structural optimization at finite temperature ($T$) based on the self-consistent phonon (SCP) theory, which accurately takes into account the effect of strong phonon anharmonicity. The…

Materials Science · Physics 2022-12-20 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano

We investigated the structural and dynamical properties of a tetrahedrally coordinated crystalline ice from first principles based on density functional theory within the generalized gradient approximation with the projected augmented wave…

Materials Science · Physics 2007-05-23 W. A. Adeagbo , A. Zayak , P. Entel

Understanding and simulating the thermodynamic and dynamical properties of materials affected by strong ionic anharmonicity is a central challenge in material science. Much interest is in material displaying critical displacive behaviour,…

Materials Science · Physics 2025-04-18 Lorenzo Monacelli

The phonon spectrum of the high-pressure simple cubic phase of calcium, in the harmonic approx- imation, shows imaginary branches that make it mechanically unstable. In this letter, the phonon spectrum is recalculated using…

Superconductivity · Physics 2015-05-27 Ion Errea , Bruno Rousseau , Aitor Bergara

The possibility of generating an narrow spectral hole in a rare-earth doped crystal opens the gateway to a variety of applications, one of which is the realization of an ultrastable laser. As this is achieved by locking in a pre-stabilized…

Optics · Physics 2024-11-25 S. Zhang , S. Seidelin , R. Le Targat , P. Goldner , B. Fang , Y. Le Coq

We study the collective vibrational excitations of crystals under out-of-equilibrium steady conditions that give rise to entropy production. Their excitation spectrum comprises equilibrium-like phonons of thermal origin and additional…

Statistical Mechanics · Physics 2023-07-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Hartmut Löwen

First-principles phonon calculations have been widely performed for studying vibrational properties of condensed matter, where the dynamical matrix is commonly constructed via supercell force-constant calculations or the linear response…

Materials Science · Physics 2020-11-11 Chi-Cheng Lee , Chin-En Hsu , Hung-Chung Hsueh

Crystals with low latent heat are predicted to melt from an entropically stabilized body-centered cubic symmetry. At this weakly first-order transition, strongly correlated fluctuations are expected to emerge, which could change the nature…

Soft Condensed Matter · Physics 2017-02-28 Joris Sprakel , Alessio Zaccone , Frans Spaepen , Peter Schall , David A. Weitz

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

Vibrational dynamics governs the fundamental properties of molecular crystals, shaping their thermodynamics, mechanics, spectroscopy, and transport phenomena. However desirable, the first-principles calculation of solid-state vibrations,…

Materials Science · Physics 2025-03-25 Lorenzo Soprani , Andrea Giunchi , Marco Bardini , Quintin N. Meier , Gabriele D'Avino

This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a century, predictive non-empirical calculations…

Materials Science · Physics 2017-03-08 Feliciano Giustino

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

Thermodynamic stability and vibrational anharmonicity of single layer black phosphorene (SLBP) are studied using a spectral energy density (SED) method. Thermal stability of SLBP sheet is analyzed by computing phonon dispersion at 300 K,…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 P. Anees

We propose a method to evaluate the Gibbs free energy from constant-volume first-principles phonon calculations. The volume integral of the pressure is performed by determining the volume and the bulk modulus in equilibrium at finite…

Materials Science · Physics 2025-07-02 Kota Hashimoto , Tomonori Tanaka , Yoshihiro Gohda

A new method for extracting force constants (FC) from first principles is introduced. It requires small supercells but very accurate forces. In principle, provided that forces are accurate enough, it can extract harmonic as well as…

Materials Science · Physics 2007-10-31 Keivan Esfarjani , Harold T. Stokes

First principles calculations have given a new insight into the energies of point defects in many different materials, information which cannot be readily obtained from experiment. Most such calculation are done at zero Kelvin, with the…

Materials Science · Physics 2011-05-16 G. J. Ackland , T. P. C. Klaver , D. J. Hepburn

Analytic expressions for the energy eigenvalues and eigenfunctions of a one-dimensional harmonic crystal are obtained. The average energy and density profiles are obtained numerically as a function of temperature. A surprisingly large…

Quantum Physics · Physics 2021-08-30 Phil Attard

The thermodynamics of liquids and supercritical fluids is notorious for eluding a general theory, as can be done for crystalline solids on the basis of phonons and crystal symmetry. The extension of solid state notions such as…

Soft Condensed Matter · Physics 2024-03-06 Cillian Cockrell , Aleksandra Dragović