Convergence rates of supercell calculations in the reduced Hartree-Fock model

Abstract

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.

References in corpus (2)

• Exponential localization of Wannier functions in insulators
• A new approach to the modelling of local defects in crystals: the reduced Hartree-Fock case

Cited by in corpus (2)

• Supercell calculations in the reduced Hartree-Fock model for crystals with local defects
• Thermodynamic Limits of Electronic Systems