Linear scaling Krylov subspace method for large scale {\it ab initio} electronic structure calculations of metals
arXiv:cond-mat/0509291 · doi:10.1103/PhysRevB.74.245101
Abstract
An efficient and robust linear scaling method is presented for large scale {\it ab initio} electronic structure calculations of a wide variety of materials including metals. The detailed short range and the 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 convergence for not only insulators but also metals. As an illustration of the method, we present a large scale calculation based on density functional theory for a palladium cluster with a single iron impurity.
4 pages, 4 figures
References in corpus (6)
- The SIESTA method for ab initio order-N materials simulation
- Efficient index handling of multidimensional periodic boundary conditions
- 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
- Efficient Recursion Method for Inverting Overlap Matrix
- Parallel, linear-scaling building-block and embedding method based on localized orbitals and orbital-specific basis sets
Cited by in corpus (27)
- O(N) methods in electronic structure calculations
- Challenges in Large Scale Quantum Mechanical Calculations
- Unfolding method for the first-principles LCAO electronic structure calculations
- Electrostatic Interactions in Finite Systems treated with Periodic Boundary Conditions: Application to Linear-Scaling Density Functional Theory
- Origin of nonlocal resistance in multiterminal graphene on hexagonal-boron-nitride: Fermi surface edge currents rather than Fermi sea topological valley currents
- Precise response functions in all-electron methods: Application to the optimized-effective-potential approach
- A subquadratic-scaling subspace projection method for large-scale Kohn-Sham density functional theory calculations using spectral finite-element discretization
- Graph-based linear scaling electronic structure theory
- Linear scaling DFT calculations for large Tungsten systems using an optimized local basis
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
- Implementation of Generalized Bloch Theorem Using Linear Combination of Pseudo-Atomic Orbitals
- Quantum-assisted Monte Carlo algorithms for fermions
- Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
- Efficient and Accurate Linear Algebraic Methods for Large-scale Electronic Structure Calculations with Non-orthogonal Atomic Orbitals
- Linear scaling calculation of band edge states and doped semiconductors
- Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations
- An Calculation Scheme for Large-Scale Moiré Structures
- High-accuracy large-scale DFT calculations using localized orbitals in complex electronic systems: The case of graphene-metal interfaces
- Graph-based Quantum Response Theory and Shadow Born-Oppenheimer Molecular Dynamics
- Efficient O() divide-conquer method with localized natural orbitals
- An efficient time-stepping scheme for ab initio molecular dynamics simulations
- Accuracy control in ultra-large-scale electronic structure calculation
- An efficient method for calculating spatially extended electronic states of large systems with a divide-and-conquer approach
- Stabilization of Ab Initio Molecular Dynamics Simulations at Large Time Steps
- Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space
- GPU-accelerated large-scale quantum molecular dynamics simulation of 3-dimensional C60 polymers