Journal
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
Volume 50, Issue 5, Pages 1403-1424Publisher
EDP SCIENCES S A
DOI: 10.1051/m2an/2015084
Keywords
Reduced Hartree-Fock; supercell model; Riemann sums; analytic functions
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This article is concerned with the numerical simulations of perfect crystals. We study the rate of convergence of the reduced Hartree-Fock (rHF) model in a supercell towards the periodic rHF model in the whole space. We prove that, whenever the crystal is an insulator or a semi-conductor, the supercell energy per unit cell converges exponentially fast towards the periodic rHF energy per unit cell, with respect to the size of the supercell.
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