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Ab Initio Force Constants of GaAs: A New Approach to Calculation of Phonons and Dielectric Properties

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TLDR
In this article, it was shown that self-consistent calculations of the electronic charge density in large periodic cells containing a single displaced atom provide all the information needed for ab initio determination of force constants, phonon dispersion curves, effective charges, and the static dielectric constant.
Abstract
It is shown that self-consistent calculations of the electronic charge density in large periodic cells containing a single displaced atom provide all the information needed for ab initio determination of force constants, phonon dispersion curves, effective charges, and the static dielectric constant. Results are presented for GaAs.

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Electronic Structure: Basic Theory and Practical Methods

TL;DR: In this paper, the Kohn-Sham ansatz is used to solve the problem of determining the electronic structure of atoms, and the three basic methods for determining electronic structure are presented.
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Pseudopotential methods in condensed matter applications

TL;DR: In this article, an extensive list of applications of the self-consistent pseudopotential method for describing properties of condensed matter systems is given, with special attention given to the developments in iteration to selfconsistency, and to the implications of the variational nature of the energy.
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Isotope effects on the optical spectra of semiconductors

TL;DR: In this paper, a brief introduction to the history, availability, and characterization of stable isotopes, including their many applications in science and technology, is given, followed by a concise discussion of the effects of isotopic composition on the vibrational spectra, including the influence of average isotopic masses and isotopic disorder on the phonons.
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Method to extract anharmonic force constants from first principles calculations

TL;DR: In this article, a method for extracting force constants (FCs) from first principles is introduced, provided that forces are accurate enough, it can extract harmonic as well as anharmonic FCs up to any neighbor shell.
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