O(N) Krylov-subspace method for large-scale ab initio electronic structure calculations

Taisuke Ozaki
Phys. Rev. B 74, 245101 – Published 1 December 2006

Abstract

An efficient and robust O(N) method is presented for fully self-consistent large-scale ab initio electronic structure calculations. Detailed short range and effective long range contributions to the electronic structure are taken into account by solving an embedded cluster defined in a Krylov subspace, which provides rapid convergent results for not only insulators but also metals. As illustrations of the capability of the method, we present three large-scale calculations based on the density functional theory: (i) calculation of full wave function of DNA, (ii) interaction between a carbon nanotube and metal surface, and (iii) geometry optimization of a boron doped diamond, which clearly show that the method is a promising approach for realization of large-scale ab initio calculations for a wide variety of materials including metals.

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  • Received 10 August 2006

DOI:https://doi.org/10.1103/PhysRevB.74.245101

©2006 American Physical Society

Authors & Affiliations

Taisuke Ozaki

  • Research Institute for Computational Sciences (RICS), National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan

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Issue

Vol. 74, Iss. 24 — 15 December 2006

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