Block bond-order potential as a convergent moments-based method

Abstract

The theory of a novel bond-order potential, which is based on the block Lanczos algorithm, is presented within an orthogonal tight-binding representation. The block scheme handles automatically the very different character of sigma and pi bonds by introducing block elements, which produces rapid convergence of the energies and forces within insulators, semiconductors, metals, and molecules. The method gives the first convergent results for vacancies in semiconductors using a moments-based method with a low number of moments. Our use of the Lanczos basis simplifies the calculations of the band energy and forces, which allows the application of the method to the molecular dynamics simulations of large systems. As an illustration of this convergent O(N) method we apply the block bond-order potential to the large scale simulation of the deformation of a carbon nanotube.

revtex, 43 pages, 11 figures, submitted to Phys. Rev. B

References in corpus (3)

• Electronic structure calculations and molecular dynamics simulations with linear system-size scaling
• Large scale quantum simulations: C_60 impacts on a semiconducting surface
• Carbon superatom thin films

Cited by in corpus (8)

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• Physics-inspired structural representations for molecules and materials
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• Efficient Recursion Method for Inverting Overlap Matrix
• N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
• Linear scaling calculation of band edge states and doped semiconductors
• Efficient O($N$) divide-conquer method with localized natural orbitals