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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…

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

Quantitative evaluations of the free energy of materials must take into account thermal and zero-point energy fluctuations. While these effects can easily be estimated within a harmonic approximation, corrections arising from the anharmonic…

Materials Science · Physics 2019-06-18 Venkat Kapil , Edgar Engel , Mariana Rossi , Michele Ceriotti

The self-consisted harmonic approximation (SCHA) allows the computation of free energy of anharmonic crystals considering both quantum and thermal fluctuations. Recently, a stochastic implementation of the SCHA has been developed, tailored…

Materials Science · Physics 2018-08-01 Lorenzo Monacelli , Ion Errea , Matteo Calandra , Francesco Mauri

Most material properties of great physical interest are directly related to nuclear dynamics, e.g. the ionic thermal conductivity, Raman/IR vibrational spectra, inelastic X-ray, and Neutron scattering. A theory able to compute from first…

Statistical Mechanics · Physics 2021-03-31 Lorenzo Monacelli , Francesco Mauri

Ensuring a satisfactory statistical convergence of anharmonic thermodynamic properties requires sampling of many atomic configurations, however the methods to obtain those necessarily produce correlated samples, thereby reducing the…

Statistical Mechanics · Physics 2022-06-07 Erki Metsanurk

We review our recent development of a first-principles lattice dynamics method that can treat anharmonic effects nonperturbatively. The method is based on the self-consistent phonon theory and temperature-dependent phonon frequencies can be…

Materials Science · Physics 2018-01-29 Terumasa Tadano , Shinji Tsuneyuki

While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation; at high temperatures, this understanding must accommodate how phonons…

Materials Science · Physics 2015-10-20 Tian Lan

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

Phonons, quantized vibrations of the atomic lattice, are fundamental to understanding thermal transport, structural stability, and phase behavior in crystalline solids. Despite advances in computational materials science, most predictions…

Materials Science · Physics 2026-01-15 Huiju Lee , Zhi Li , Jiangang he , Yi Xia

We review the theory of second--order (ferro--)elastic phase transitions, where the order parameter consists of a certain linear combination of strain tensor components, and the accompanying soft mode is an acoustic phonon. In…

Condensed Matter · Physics 2009-10-28 F. Schwabl , U. C. Täuber

On the basis of the self-consistent phonon theory and the special displacement method, we develop an approach for the treatment of anharmonicity in solids. We show that this approach enables the efficient calculation of…

Materials Science · Physics 2023-08-09 Marios Zacharias , George Volonakis , Feliciano Giustino , Jacky Even

The phase field crystal (PFC) method has emerged as a promising technique for modeling materials with atomistic resolution on mesoscopic time scales. The approach is numerically much more efficient than classical density functional theory…

Materials Science · Physics 2015-05-18 Michael Greenwood , Nikolas Provatas , Jörg Rottler

We developed a lattice dynamical theory of an atomically-thin compressional piezoelectric resonator. Acoustic and optical dynamic displacement response functions are derived and account for frequency-dependent electromechanical coupling.…

Mesoscale and Nanoscale Physics · Physics 2024-10-07 Karl H. Michel , Cem Sevik , Milorad V. Milosevic

The Self-Consistent Harmonic Approximation (SCHA) describes atoms in solids, including quantum fluctuations and anharmonic effects, in a non-perturbative way. It computes ionic free energy variationally, constraining the atomic…

Materials Science · Physics 2024-10-21 Antonio Siciliano , Lorenzo Monacelli , Francesco Mauri

We apply a general first-principles approach to derive the phase diagram of metallic Lithium at ambient pressure between 0 and 350 K, including identification of candidate phases. We use ab initio random structure searching (AIRSS) to…

Materials Science · Physics 2019-01-29 Michael Hutcheon , Richard Needs

We consider a d-dimensional crystal with an arbitrary harmonic interaction and an anharmonic on-site potential, with stochastic Langevin heat bath at each site. We develop an integral formalism for the correlation functions that is suitable…

Statistical Mechanics · Physics 2009-11-10 Emmanuel Pereira , Ricardo Falcao

Static and dynamical properties of elastic phase transitions under the influence of short--range defects, which locally increase the transition temperature, are investigated. Our approach is based on a Ginzburg--Landau theory for…

Condensed Matter · Physics 2016-08-31 M. Bulenda , F. Schwabl , U. C. Täuber

Self-consistent phonon (SCP) theory and its application in computing thermodynamic properties of materials are reviewed from a historical perspective. Various more recent implementations based on first-principles electronic structure…

Materials Science · Physics 2019-11-05 Keivan Esfarjani , Yuan Liang

The variational stochastic self-consistent harmonic approximation is combined with the calculation of third-order anharmonic coefficients within density-functional perturbation theory and the "$2n+1$" theorem to calculate anharmonic…

Materials Science · Physics 2015-06-16 Lorenzo Paulatto , Ion Errea , Matteo Calandra , Francesco Mauri
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