Large-scale electronic structure calculation theory and applications to nanostructure materials

Fujiwara, T. (Center for R&D of Higher Educ., Univ. of Tokyo, Tokyo, Japan); Hoshi, T.

Source: Applied Surface Science, v 254, n 23, 30 Sept. 2008, 7781-5

ISSN: 0169-4332 CODEN: ASUSEE

Publisher: Elsevier Science B.V., Netherlands 

Abstract: We review our recently developed methods in large-scale electronic structure calculations. The calculation is based on the tight-binding formalism of the Hamiltonian. First, the mathematical foundation of Krylov subspace method is focused. The density matrix can be calculated exactly and the numerical accuracy can be monitored during the iterative calculation. The key technique of the shifted-COCG (conjugate orthogonal conjugate gradient) method, collinear residual and seed switching, is explained in details. Second, several applications to nanostructure of semiconductors and metals, fracture propagation and surface reconstruction and formation process of gold nanowire, are explained. [All rights reserved Elsevier]. (17 refs.)

terms: conjugate gradient methods - density functional theory - electronic structure - fracture - gold - iterative methods - nanostructured materials - nanowires - semiconductor materials - surface reconstruction - tight-binding calculations