The Finite Size Error in Many-body Simulations with long-Ranged Interactions
Other Condensed Matter
2009-11-11 v3 Materials Science
Abstract
We discuss the origin of the finite size error of the energy in many-body simulation of systems of charged particles and we propose a correction based on the random phase approximation at long wave lengths. The correction comes from contributions mainly determined by the organized collective oscillations of the interacting system. Finite size corrections, both on kinetic and potential energy, can be calculated within a single simulation. Results are presented for the electron gas and silicon.
Keywords
Cite
@article{arxiv.cond-mat/0605004,
title = {The Finite Size Error in Many-body Simulations with long-Ranged Interactions},
author = {Simone Chiesa and David M. Ceperley and Richard M. Martin and Markus Holzmann},
journal= {arXiv preprint arXiv:cond-mat/0605004},
year = {2009}
}
Comments
4 pages, 4 figures, submitted to PRL; corrected typos