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A simple and accurate method of calculating phonon spectra in mixed semiconductors alloys, on the basis of preliminarily (from first principles) relaxed atomic structure, is proposed and tested for (Zn,Be)Se and (Ga,In)As solid solutions.…

Materials Science · Physics 2008-01-08 Ayoub Nassour , Joseph Hugel , A. V. Postnikov

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 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

Ab initio calculations and a direct method are applied to derive the phonon dispersion relations and phonon density of states for the ZrC crystal. The results are in good agreement with neutron scattering data. The force constants are…

Materials Science · Physics 2013-01-28 Paweł T. Jochym , Krzysztof Parlinski

The efficient extraction of force constants (FCs) is crucial for the analysis of many thermodynamic materials properties. Approaches based on the systematic enumeration of finite differences scale poorly with system size and can rarely…

Materials Science · Physics 2020-08-03 Fredrik Eriksson , Erik Fransson , Paul Erhart

The long-standing problem of minimal projections is addressed from a computational point of view. Techniques to determine bounds on the projection constants of univariate polynomial spaces are presented. The upper bound, produced by a…

Numerical Analysis · Mathematics 2018-01-15 Simon Foucart , Jean-Bernard Lasserre

Small displacement methods have been successfully used to calculate the lattice dynamical properties of crystals. It involves displacing atoms by a small amount in order to calculate the induced forces on all atoms in a supercell for the…

Materials Science · Physics 2020-10-16 Chee Kwan Gan , Yun Liu , Tze Chien Sum , Kedar Hippalgaonkar

We present an approach to accelerate real-space electronic structure methods several fold, without loss of accuracy, by reducing the dimension of the discrete eigenproblem that must be solved. To accomplish this, we construct an efficient,…

Computational Physics · Physics 2018-05-01 Qimen Xu , Phanish Suryanarayana , John E. Pask

The calculation of material phonon thermal conductivity from density functional theory calculations requires computationally expensive evaluation of anharmonic interatomic force constants and has remained a computational bottleneck in the…

Materials Science · Physics 2024-09-04 Yagyank Srivastava , Ankit Jain

Locating the sources of forced low-frequency oscillations in power systems is an important problem. A number of proposed methods demonstrate their practical usefulness, but many of them rely on strong modeling assumptions and provide poor…

Systems and Control · Computer Science 2018-05-08 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

Interpretation of vibrational inelastic neutron scattering spectra of complex systems is frequently reliant on accompanying simulations from theoretical models. Ab-initio codes can routinely generate force constants, but additional steps…

Materials Science · Physics 2022-08-11 Rebecca Fair , Adam Jackson , David Voneshen , Dominik Jochym , Duc Le , Keith Refson , Toby Perring

We apply standard, first-principles calculations to a complete treatment of lattice dynamics in the harmonic approximation. The algorithm makes use of the straightforward ``frozen-phonon'' approach to the calculation of vibrational spectra…

Materials Science · Physics 2007-05-23 Hadley M. Lawler , Eric K. Chang , Eric L. Shirley

We present a fully automated framework for extracting interatomic force constants (IFCs) directly from X-ray thermal diffuse scattering (TDS) data. By formulating scattering intensity as a differentiable function of a symmetry-reduced IFC…

Computational Physics · Physics 2026-03-31 Klara Suchan , Shaswat Mohanty , Hanfeng Zhai , Wei Cai

Phonons play a critical role in determining various material properties, but conventional methods for phonon calculations are computationally intensive, limiting their broad applicability. In this study, we present an approach to accelerate…

Materials Science · Physics 2024-07-16 Huiju Lee , Vinay I. Hegde , Chris Wolverton , Yi Xia

An important task in structural design is to quantify the structural performance of an object under the external forces it may experience during its use. The problem proves to be computationally very challenging as the external forces'…

Machine Learning · Statistics 2018-10-26 Yining Wang , Erva Ulu , Aarti Singh , Levent Burak Kara

We describe a simple scheme to perform phonon calculations with quantum Monte Carlo (QMC) methods, and demonstrate it on metallic hydrogen. Because of the energy and length scales of metallic hydrogen, and the statistical noise inherent to…

Materials Science · Physics 2022-01-25 Kevin Ly , David Ceperley

In this work we present a formalism for the calculation of the local elastic constants in inhomogeneous systems based on a method of planes. Unlike previous work, this formalism does not require the partitioning of the system into a set of…

Soft Condensed Matter · Physics 2009-11-07 K. Van Workum , J. J. de Pablo

A new method for examining the possible space-time variation of the fine structure constant ($\alpha$) is proposed. The technique uses a relatively simple measurement with an optical resonator to compare atom-stabilized optical frequency…

Atomic Physics · Physics 2007-05-23 J. R. Torgerson

Interatomic-force measurements are regularly performed using frequency-modulation atomic force microscopy. This requires conversion of the observed shift in the resonant frequency of a force-sensing cantilever, to the actual force…

Applied Physics · Physics 2020-12-02 John Elie Sader

We develop a formalism to directly evaluate the matrix of force constants within a Quantum Monte Carlo calculation. We utilize the matrix of force constants to accurately relax the positions of atoms in molecules and determine their…

Computational Physics · Physics 2020-04-06 Yu Yang Fredrik Liu , Bartholomew Andrews , Gareth J. Conduit
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