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In the realm of thermal expansion determination, the quasiharmonic approximation (QHA) stands as a widely embraced method for discerning minima of free energies across diverse temperatures such that the temperature dependence of lattice…

材料科学 · 物理学 2024-07-12 Samare Rostami , Xavier Gonze

Computing the temperature and stress dependence of the full elastic constant tensor from first-principles in non-cubic materials remains a challenging problem. Here we circumvent the aforementioned challenge via the generalized…

材料科学 · 物理学 2024-03-01 Mark A. Mathis , Chris A. Marianetti

Accelerating the calculations of finite-temperature thermodynamic properties is a major challenge for rational materials design. Reliable methods can be quite expensive, limiting their effective applicability in autonomous high-throughput…

The Quasi-harmonic Approximation (QHA) is a widely used method for calculating the temperature dependence of lattice parameters and the thermal expansion coefficients from first principles. However, applying QHA to anisotropic systems…

材料科学 · 物理学 2025-03-13 Samare Rostami , Matteo Giantomassi , Xavier Gonze

A first-principles approach called the {\it{self-consistent quasiharmonic approximation}} (SC-QHA) method is formulated to calculate the thermal expansion, thermomechanics, and thermodynamic functions of solids at finite temperatures with…

材料科学 · 物理学 2016-04-28 Liang-Feng Huang , Xue-Zeng Lu , Emrys Tennessen , James M. Rondinelli

The quasiharmonic approximation (QHA), in its simplest form also called the statically constrained (SC) QHA, has been shown to be a straightforward method to compute thermoelastic properties of crystals. Recently we showed that for…

材料科学 · 物理学 2009-11-13 Pierre Carrier , João F. Justo , Renata M. Wentzcovitch

The quasi-harmonic approximation (QHA) is a powerful method that uses the volume dependence of non-interacting phonons to compute the free energy of materials at high pressures (P) and temperatures (T). However, anharmonicity, electronic…

计算物理 · 物理学 2023-08-09 Hongjin Wang , Jingyi Zhuang , Zhen Zhang , Qi Zhang , Renata M. Wentzcovitch

The Quasi-harmonic (QH) approximation uses harmonic vibrational frequencies omega(H,Q,V), computed at volumes V near the volume where the Born-Oppenheimer (BO) energy is minimum. When this is used in the harmonic free energy, QH…

材料科学 · 物理学 2015-08-19 Philip B. Allen

All phonons in a single crystal of NaBr were measured by inelastic neutron scattering at temperatures of 10, 300 and 700 K. Even at 300 K the phonons, especially the longitudinal-optical (LO) phonons, showed large shifts in frequencies, and…

材料科学 · 物理学 2020-08-26 Y. Shen , C. N. Saunders , C. M. Bernal , D. L. Abernathy , M. E. Manley , B. Fultz

This paper gives a short overview of the calculation of thermal properties of materials from first principles, using the Quasi-Harmonic Approximation (QHA). We first introduce some of the thermal properties of interest and describe how they…

材料科学 · 物理学 2011-12-22 Stefano Baroni , Paolo Giannozzi , Eyvaz Isaev

In order to calculate thermal properties in automatic fashion, the Quasi-Harmonic Approximation (QHA) has been combined with the Automatic Phonon Library (APL) and implemented within the AFLOW framework for high-throughput computational…

The breakdown of the quasiparticle approximation (QPA) for phonons in strongly anharmonic materials necessitates advanced first-principles frameworks for accurate lattice dynamics and thermal transport predictions. We develop a…

材料科学 · 物理学 2025-12-23 Yi Xia

The anharmonicity resulted from the intrinsic phonon interaction is neglected by quasiharmonic approximation. Although the intensive researches about anharmonicity have been done, up to now the free energy contributed by the anharmonicity…

统计力学 · 物理学 2007-05-23 Zhongqing Wu , Renata M. Wentzcovitch

We address several issues regarding the derivation and implementation of the Cauchy-Born approximation of the stress at finite temperature. In particular, an asymptotic expansion is employed to derive a closed form expression for the first…

数学物理 · 物理学 2013-10-11 Jerry Z. Yang , Chao Mao , Xiantao Li , Chun Liu

Cubic phonon interactions are now regularly computed from first principles, and the quartic interactions have begun to receive more attention. Given this realistic anharmonic vibrational Hamiltonian, the classical phonon Green's function…

材料科学 · 物理学 2023-11-21 Enda Xiao , Chris A. Marianetti

To address the effects of lattice anharmonicity across the perovskite to post-perovskite transition in MgSiO$_3$, we conduct calculations using the phonon quasiparticle (PHQ) approach. The PHQ is based on \textit{ab initio} molecular…

材料科学 · 物理学 2022-12-05 Zhen Zhang , Renata M. Wentzcovitch

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…

材料科学 · 物理学 2015-06-17 Ion Errea , Matteo Calandra , Francesco Mauri

We formulate a theory of thermal expansion based on the self-consistent phonon (SCP) theory, which nonperturbatively considers the anharmonic effect. We show that the Gr\"unseisen formula holds within the SCP theory by replacing the phonon…

材料科学 · 物理学 2022-12-20 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano

We present a systematic ab initio study of the thermoelastic properties of hcp osmium as functions of temperature and pressure within the quasi-harmonic approximation (QHA). The precision of the Zero Static Internal Stress Approximation…

材料科学 · 物理学 2025-07-22 Xuejun Gong , Andrea Dal Corso

"Quasi-harmonic" (QH) theory should not be considered a low-order theory of anharmonic effects in crystals, but should be recognized as an important effect separate from "true" anharmonicity. The original and widely used meaning of QH…

材料科学 · 物理学 2022-12-06 Philip B. Allen
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