Title
State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems
Abstract
The band edge states determine optical and electronic properties of semiconductor nano-structures which can be computed from an interior eigenproblem. We study the reliability and performance of state-of-the-art iterative eigensolvers on large quantum dots and wires, focusing on variants of preconditioned CG, Lanczos, and Davidson methods. One Davidson variant, the GD+k (Olsen) method, is identified to be as reliable as the commonly used preconditioned CG while consistently being between two and three times faster.
Year
DOI
Venue
2008
10.1016/j.jcp.2008.01.018
J. Comput. Physics
Keywords
DocType
Volume
electronic property,large scale nano-systems,interior eigenproblem,semiconductor nano-structures,large quantum dot,davidson variant,state-of-the-art iterative eigensolvers,preconditioned cg,state-of-the-art eigensolvers,electronic structure calculation,band edge state,davidson method,quantum dot,electronic structure
Journal
227
Issue
ISSN
Citations 
15
Journal of Computational Physics
15
PageRank 
References 
Authors
1.86
14
6
Name
Order
Citations
PageRank
Christof Vömel116817.80
Stanimire Z. Tomov2182.71
Osni A. Marques3716.46
A. Canning4163.27
Lin-Wang Wang514116.72
Jack J. Dongarra6176252615.79