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<i>Ab initio</i>molecular dynamics: Analytically continued energy functionals and insights into iterative solutions

Physical Review LettersPublished 17 August 1992
T. A. Arias, M. C. Payne, J. D. Joannopoulos
Citations245
SJR quartileQ1
SJR score2.86
SNIP2.41

TL;DR

A new method for performing finite-temperature ab initio total-energy calculations at long length scales is presented, which is demonstrated with a dynamics calculation of 50 \AA{}-long phonon modes in silicon.

Abstract

We present a new method for performing finite-temperature ab initio total-energy calculations at long length scales, which we demonstrate with a dynamics calculation of 50 \AA{}-long phonon modes in silicon. The method involves both a prescription for the analytic continuation of tradional fermionic energy functionals into the space of nonorthonormal single-particle orbitals (speeding convergence to the minimum) and insights into the common computational physics problem of solving by iterative refinement for the state of a complex system as a function of a continuous external parameter.

Keywords

Earth and Planetary SciencesPhysics and Astronomy