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We present two developments for the numerical integration of a function over the Brillouin zone. First, we introduce a nonuniform grid, which we refer to as the Farey grid, that generalizes regular grids. Second, we introduce…

Other Condensed Matter · Physics 2026-01-21 Siyu Chen , Pascal T. Salzbrenner , Bartomeu Monserrat

We present result of calculations of the surface phonon dispersion curves for Pt(110) using density functional theory in the local density approximation and norm conserving pseudopotentials in a mixed-basis approach. Linear response theory…

Materials Science · Physics 2009-11-11 Sampyo Hong , Talat S. Rahman , Rolf Heid , Klaus Peter Bohnen

We develop a first-principles scheme to calculate adiabatic and non-adiabatic phonon frequencies in the full Brillouin zone. The method relies on the variational properties of a force-constants functional with respect to the first-order…

Materials Science · Physics 2015-05-19 Matteo Calandra , Gianni Profeta , Francesco Mauri

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

Grimme's DFT-D dispersion contribution to interatomic forces constants, required for the computation of the phonon band structures in density-functional perturbation theory, has been derived analytically. The implementation has then been…

Materials Science · Physics 2018-01-29 Benoit Van Troeye , Marc Torrent , Xavier Gonze

We present the full in-plane phonon dispersion of graphite obtained from inelastic x-ray scattering, including the optical and acoustic branches, as well as the mid-frequency range between the $K$ and $M$ points in the Brillouin zone, where…

Materials Science · Physics 2009-11-13 M. Mohr , J. Maultzsch , E. Dobardzic , S. Reich , I. Milosevic , M. Damnjanovic , A. Bosak , M. Krisch , C. Thomsen

Making use of the classical second moment sum rule, it is possible to convert a series of constant-Q x-ray Brillouin scattering scans (Q momentum transfer) into a series of constant frequency scans over the measured $Q$ range. The method is…

Disordered Systems and Neural Networks · Physics 2016-03-21 U. Buchenau

We review calculations and measurements of the phonon-dispersion relation of graphite. First-principles calculations using density-functional theory are generally in good agreement with the experimental data since the long-range character…

Materials Science · Physics 2013-08-07 Ludger Wirtz , Angel Rubio

We apply the compressive sensing lattice dynamics (CSLD) method to calculate phonon dispersion for crystalline solids. While existing methods such as frozen phonon, small displacement, and linear response are routinely applied for phonon…

Materials Science · Physics 2019-11-25 Fei Zhou , Babak Sadigh , Daniel Aberg , Yi Xia , Vidvuds Ozolins

The phonon-assisted interband optical absorption spectrum of silicon is calculated at the quasiparticle level entirely from first principles. We make use of the Wannier interpolation formalism to determine the quasiparticle energies, as…

In an attempt to provide a clearer understanding of the impressive increase in T_c under pressure in elemental Li, linear response calculation of the phonon dispersion curves, electron-phonon matrix elements, phonon linewidths and mode…

Superconductivity · Physics 2009-11-11 Deepa Kasinathan , K. Koepernik , J. Kunes , H. Rosner , W. E. Pickett

We have calculated the dispersion curves of H vibrational modes on Pt(111), using first-principles, total energy calculations based on a mixed-basis set and norm-conserving pseudopotentials. Linear response theory and the harmonic…

Other Condensed Matter · Physics 2009-11-11 Sampyo Hong , Talat S. Rahman , Rolf Heid , Klaus Peter Bohnen

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

We present a new interpretation of measured Raman frequencies of a high-pressure structure of Silicon which was assigned previously to the beta-tin phase. Our results show that the beta-tin->Imma->sh phase transitions have been already…

Materials Science · Physics 2009-11-11 Katalin Gaal-Nagy , Dieter Strauch

The phonon dispersion curves of cubic BaTiO_3 have been computed within a first-principles approach and the results compared to the experimental data. The curves obtained are very similar to those reported for KNbO_3 by Yu and Krakauer…

Materials Science · Physics 2008-02-03 Ph. Ghosez , X. Gonze , J. -P. Michenaud

Sorting and assigning phonon branches (e.g., longitudinal acoustic) of phonon modes is important for characterizing the phonon bands of a crystal and the determination of phonon properties such as the Gr\"uneisan parameter and group…

Materials Science · Physics 2021-01-26 Chee Kwan Gan , Zhun-Yong Ong

We here introduce a Fortran code that computes anharmonic free energy of solids from first-principles based on our phonon quasiparticle approach. In this code, phonon quasiparticle properties, i.e., renormalized phonon frequencies and…

Materials Science · Physics 2019-06-19 Zhen Zhang , Dong-Bo Zhang , Tao Sun , Renata Wentzcovitch

Understanding and predicting lattice dynamics in strongly anharmonic crystals is one of the long-standing challenges in condensed matter physics. Here we propose a first-principles method that gives accurate quasiparticle (QP) peaks of the…

Materials Science · Physics 2022-11-09 Terumasa Tadano , Wissam A. Saidi

Mesoscopic numerical simulation has become an important tool in thermal management and energy harvesting at the micro/nano scale, where the Fourier's law failed. However, it is not easy to efficiently solve the phonon Boltzmann transport…

Computational Physics · Physics 2022-12-13 Chuang Zhang , Samuel Huberman , Xinliang Song , Jin Zhao , Songze Chen , Lei Wu

We present a first-principles approach for calculating phonon-polariton dispersion relations. In this approach, phonon-photon interaction is described by quantization of a Hamiltonian that describes harmonic lattice vibrations coupled with…

Materials Science · Physics 2026-01-13 Olle Hellman , Leeor Kronik
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