The Finite Size Error in Many-body Simulations with long-Ranged Interactions

Details The Finite Size Error in Many-body Simulations with long-Ranged Interactions The Finite Size Error in Many-body Simulations with long-Ranged Interactions

2006-04-29

arxiv.org/abs/cond-mat/0605004v3

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures, submitted to PRL; corrected typos

Scientific paper

10.1103/PhysRevLett.97.076404

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.

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