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Related papers: Improved tetrahedron method for the Brillouin-zone…

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A recursive extension of the hybrid tetrahedron method for Brillouin-zone integration is proposed, allowing iterative tetrahedron refinement and significantly reducing the error from the linear tetrahedron method. The Brillouin-zone…

Materials Science · Physics 2024-11-27 Kun Dong , Yihao Lin , Xiaoqiang Liu , Jiechao Feng , Ji Feng

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

By combining the tetrahedron method with the cluster perturbation theory (CPT), we present an accurate method to numerically calculate the density of states of interacting fermions without introducing the Lorentzian broadening parameter…

Strongly Correlated Electrons · Physics 2016-06-09 Kazuhiro Seki , Seiji Yunoki

First-principles calculations of phonons are often based on the adiabatic approximation and on Brillouin-zone samplings that might not always be sufficient to capture the subtleties of Kohn anomalies. These shortcomings can be addressed…

Materials Science · Physics 2023-10-19 Jan Berges , Nina Girotto , Tim Wehling , Nicola Marzari , Samuel Poncé

We consider methods for optimizing the bandgap calculation of 3D materials, considering 340 sample materials. Examined are the effects of the choice of the pseudopotential to describe core electrons, the plane-wave basis set cutoff energy,…

Materials Science · Physics 2025-11-14 Chenxi Lu , Musen Li , Michael J. Ford , Rika Kobayashi , Roger Amos , Jeffrey R. Reimers

We have developed a first-principles method to calculate the electron-phonon coupling for specific modes and q-points in the Brillouin Zone for crystalline organic semiconductors. Using the obtained coupling strengths, we propose an…

The frequency dependent phonon Boltzmann equation is transformed to an integral equation over the irreducible part of the Brillouin zone. Simultaneous diagonalization of the collision kernel of that equation and a symmetry crystal class…

Materials Science · Physics 2013-03-19 Laurent Chaput

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

Thermal properties are of great interest in modern electronic devices and nanostructures. Calculating these properties is straightforward when the device is made from a pure material, but problems arise when alloys are used. Specifically,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Timothy B. Boykin , Arvind Ajoy , Hesameddin Ilatikhameneh , Michael Povolotskyi , Gerhard Klimeck

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 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

Magnons, the quanta of spin waves, are magnetic excitations of matter spanning through the entire crystal's Brillouin zone and covering a wide range of frequencies ranging from sub-gigahertz to hundreds of terahertz. Magnons play a crucial…

Mesoscale and Nanoscale Physics · Physics 2025-02-07 Jakub Krčma , Ondřej Wojewoda , Martin Hrtoň , Jakub Holobrádek , Jon Ander Arregi , Jaganandha Panda , Michal Urbánek

First principles computational methods can predict the superconducting critical temperature $T_{\mathrm{c}}$ of conventional superconductors through the electron-phonon spectral function. Full convergence of this quantity requires Brillouin…

Superconductivity · Physics 2025-08-27 Kieran Bozier , Kang Wang , Bartomeu Monserrat , Chris J. Pickard

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

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

The complete set of electroweak O(alpha) corrections to the Drell--Yan-like production of W bosons is calculated and compared to an approximation provided by the leading term of an expansion about the W-resonance pole. All relevant formulae…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefan Dittmaier , Michael Kramer

We determine the anisotropic dielectric functions of rhombohedral $\alpha$-Ga$_2$O$_3$ by far-infrared and infrared generalized spectroscopic ellipsometry and derive all transverse optical and longitudinal optical phonon mode frequencies…

We consider the O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy. Explicit…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Davydychev , K. Schilcher , H. Spiesberger

We present efficient methods for Brillouin zone integration with a non-zero but possibly very small broadening factor $\eta$, focusing on cases in which downfolded Hamiltonians can be evaluated efficiently using Wannier interpolation. We…

Strongly Correlated Electrons · Physics 2023-08-09 Jason Kaye , Sophie Beck , Alex Barnett , Lorenzo Van Muñoz , Olivier Parcollet

We observe anharmonic decay of the photoexcited coherent A1g phonon in bismuth to points in the Brillouin zone where conservation of momentum and energy are satisfied for three-phonon scattering. The decay of a coherent phonon can be…

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