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Taking into account the constraints imposed by the lattice symmetry, we calculate the phonon dispersion for graphene with interactions between the first, second, and third nearest neighbors in the framework of the Born--von Karman model.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. A. Falkovsky

We present a scheme for the improved description of the long-range interatomic force constants in a more accurate way than the procedure which is commonly used within plane-wave based density-functional perturbation-theory calculations. Our…

Materials Science · Physics 2013-05-29 Katalin Gaal-Nagy , Dieter Strauch

Au-Fe alloys are of immense interest due to their biocompatibility, anomalous hall conductivity, and applications in various medical treatment. However, irrespective of the method of preparation, they often exhibit a high-level of disorder,…

Materials Science · Physics 2017-09-27 Jiban Kangsabanik , Rajiv K. Chouhan , D. D. Johnson , Aftab Alam

The probing of coherent lattice vibrations in solids has been conventionally carried out using time-resolved transient spectroscopy where only the relative oscillation amplitude can be obtained. Using time-resolved X-ray techniques,…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Jicai Zhang , Ziwen Wang , Frank Lengers , Daniel Wigger , Doris E. Reiter , Tilmann Kuhn , Hans Jakob Wörner , Tran Trung Luu

Phonon transmission across interfaces of dissimilar materials has been studied intensively in the recent years by using atomistic simulation tools owing to its importance in determining the effective thermal conductivity of nanostructured…

Materials Science · Physics 2015-05-25 Xiaokun Gu , Xiaobo Li , Ronggui Yang

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

Foreman and Lomer proposed in 1957 a method of estimating the harmonic forces between parallel planes of atoms of primitive cubic crystals by Fourier transforming the squared frequencies of phonons propagating along principal directions. A…

Statistical Mechanics · Physics 2011-12-02 A. M. Stewart

We demonstrate how to overcome serious problems in understanding and classification of vibration spectra in semiconductor alloys, following from traditional use of the virtual crystal approximation (VCA). We show that such different systems…

Materials Science · Physics 2009-11-13 O. Pages , A. V. Postnikov , M. Kassem , A. Chafi , A. Nassour , S. Doyen

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

A mixed II-VI semiconductor Zn[1-x]Be[x]Se possesses non-trivial vibration properties, because its two constituent compounds, ZnSe and BeSe, show very different degree of covalency and hence high elastic contrast. An anomalous Be-Se…

Materials Science · Physics 2007-05-23 A. V. Postnikov , O. Pages , T. Tite , M. Ajjoun , J. Hugel

Phonons are fundamentally important for many materials properties, including thermal and electronic transport, superconductivity, and structural stability. Here, we describe a method to compute phonons in correlated materials using…

Materials Science · Physics 2020-12-03 Can P. Koçer , Kristjan Haule , G. Lucian Pascut , Bartomeu Monserrat

The crystal structure and lattice phonons of (BEDT-TTF)_2I_3 superconducting \beta-phase are computed and analyzed by the Quasi Harmonic Lattice Dynamics (QHLD) method. Whereas the crystal structure and its temperature and pressure…

Superconductivity · Physics 2024-11-26 A. Girlando , M. Masino , G. Visentini , R. G. Della Valle , A. Brillante , E. Venuti

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

We derive simplified formulas for analyzing the stability of stochastic parametrically forced linear systems. This extends the results in [T. Blass and L.A. Romero, SIAM J. Control Optim. 51(2):1099--1127, 2013] where, assuming the…

Dynamical Systems · Mathematics 2014-02-05 Timothy Blass , L. A. Romero , J. R. Torczynski

Parameter-free calculations of lattice dynamics from first principles have achieved significant progress in the past decades, with a wealth of applications in thermodynamics, phase transitions, and transport properties of materials. Current…

Materials Science · Physics 2025-08-05 Changpeng Lin , Jian Han , Ben Xu , Nicola Marzari

We present a constrained density functional perturbation theory scheme for the calculation of structural and harmonic vibrational properties of insulators in the presence of an excited and thermalized electron-hole plasma. The method is…

Materials Science · Physics 2021-10-13 Giovanni Marini , Matteo Calandra

{\it Ab initio\} calculations have been successfully used for evaluating lattice dynamical properties of solids within the (quasi-)harmonic approximation (i.e., assuming non-interacting phonons with infinite lifetimes), but it remains…

Computational Physics · Physics 2019-11-25 Fei Zhou , Weston Nielson , Yi Xia , Vidvuds Ozolins

Phonon dispersions in <100> silicon nanowires (SiNW) are modeled using a Modified Valence Force Field (MVFF) method based on atomistic force constants. The model replicates the bulk Si phonon dispersion very well. In SiNWs, apart from four…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Abhijeet Paul , Mathieu Luisier , Gerhard Klimeck

This article reviews the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudo-potential method. Several specialized topics are treated, including…

Materials Science · Physics 2009-10-31 S. Baroni , S. de Gironcoli , A. Dal Corso , P. Giannozzi

Phonon measurements in the A15-type superconductors were complicated in the past because of the unavailability of large single crystals for inelastic neutron scattering, e.g., in the case of Nb$_3$Sn, or unfavorable neutron scattering…

Superconductivity · Physics 2019-04-19 A. Sauer , D. A. Zocco , A. H. Said , R. Heid , A. Böhmer , F. Weber