Accuracy control in ultra-large-scale electronic structure calculation
arXiv:0708.0127 · doi:10.1088/0953-8984/19/36/365243
Abstract
Numerical aspects are investigated in ultra-large-scale electronic structure calculation. Accuracy control methods in process (molecular-dynamics) calculation are focused. Flexible control methods are proposed so as to control variational freedoms, automatically at each time step, within the framework of generalized Wannier state theory. The method is demonstrated in silicon cleavage simulation with 10^2-10^5 atoms. The idea is of general importance among process calculations and is also used in Krylov subspace theory, another large-scale-calculation theory.
8 pages, 3 figures. To appear in J.Phys. Condens. Matter. A preprint PDF file in better graphics is available at http://fujimac.t.u-tokyo.ac.jp/lses/index_e.html
References in corpus (11)
- The SIESTA method for ab initio order-N materials simulation
- Efficient index handling of multidimensional periodic boundary conditions
- Linear scaling Krylov subspace method for large scale {\it ab initio} electronic structure calculations of metals
- Density functional theory in the canonical ensemble I General formalism
- Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory
- Krylov Subspace Method for Molecular Dynamics Simulation based on Large-Scale Electronic Structure Theory
- Nanoscale structures formed in silicon cleavage studied with large-scale electronic structure alculations; surface reconstruction, step and bending
- Dynamical brittle fractures of nanocrystalline silicon using large-scale electronic structure calculations
- Large-scale electronic structure theory for simulating nanostructure process
- Million-atom molecular dynamics simulation by order-N electronic structure theory and parallel computation
- Large-scale electronic-structure theory and nanoscale defects formed in cleavage process of silicon
Cited by in corpus (3)
- O(N) methods in electronic structure calculations
- A hierarchical research by large-scale and ab initio electronic structure theories -- Si and Ge cleavage and stepped (111)-2x1 surfaces --
- Development of simulation package for atomic processes of ultra-large-scale system based on electronic structure theory