A General Algorithm for Calculating Irreducible Brillouin Zones
نویسندگان
چکیده
Calculations of properties materials require performing numerical integrals over the Brillouin zone (BZ). Integration points in density functional theory codes are uniformly spread BZ (despite integration error being concentrated small regions BZ) and preserve symmetry to improve computational efficiency. an irreducible (IBZ), a rotationally distinct region BZ, do not have crystal for greater This freedom allows use adaptive meshes with higher concentrations at locations large error, resulting improved algorithmic We created algorithm constructing IBZ any structure 2D 3D. The uses convex hull half-space representations make many aspects construction reduction trivial. is simple, general, available as open-source software.
منابع مشابه
On Brillouin Zones
1 Mathematics Department, Pennsylvania State University, University Park, Pennsylvania, USA. E-mail: [email protected] 2 Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil. E-mail: [email protected] 3 Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Brazil. 4 Institute for Mathematical Sciences and Mathematics Department, State University of New York, Stony ...
متن کاملConvergence properties of a general algorithm for calculating variational Bayesian estimates for a normal mixture model
In this paper we propose a generalised iterative algorithm for calculating variational Bayesian estimates for a normal mixture model and we investigate its convergence properties. It is shown theoretically that the variational Bayes estimator converges locally to the maximum likelihood estimator at the rate of O(1/n) in the large sample limit. We also demonstrate by numerical experiments that t...
متن کاملRe ning a Parallel Algorithm For Calculating
String players know that bowing properly is the hardest skill they have to learn. In other work 4], we develop an algorithm that calculates bowings for BowTech, a project that supports string performers. This algorithm takes a signiicant amount of time to execute (in our second test case, over an hour for the implementation, written in Ada). We have implemented the algorithm in GpH, a parallel ...
متن کاملStimulated Brillouin scattering in nanoscale silicon step-index waveguides: a general framework of selection rules and calculating SBS gain.
We develop a general framework of evaluating the Stimulated Brillouin Scattering (SBS) gain coefficient in optical waveguides via the overlap integral between optical and elastic eigen-modes. This full-vectorial formulation of SBS coupling rigorously accounts for the effects of both radiation pressure and electrostriction within micro- and nano-scale waveguides. We show that both contributions ...
متن کاملMastrovito Multiplier for General Irreducible Polynomials
We present a new formulation of the Mastrovito multiplication matrix for the field GF (2) generated by an arbitrary irreducible polynomial. We study in detail several specific types of irreducible polynomials, e.g., trinomials, all-one-polynomials, and equally-spaced-polynomials, and obtain the time and space complexity of these designs. Particular examples, illustrating the properties of the p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2022
ISSN: ['1991-7120', '1815-2406']
DOI: https://doi.org/10.4208/cicp.oa-2021-0094