Volume 7, Number 3, 297-300, DOI: 10.1007/s10825-008-0223-5

Eigenvalue solvers for atomistic simulations of electronic structures with NEMO-3D

M. Naumov, S. Lee, B. Haley, H. Bae, S. Clark, R. Rahman, H. Ryu, F. Saied and G. Klimeck

From the issue entitled "Special Issue on the 12th International Workshop on Computational Electronics (IWCE12). Guest Editors: Massimo V. Fischetti, Neal G. Anderson, Eric Polizzi"

View Related Documents

Abstract

The atomistic simulations of electronic structures, using a tight binding model with millions of atoms, require solution of very large sparse Hermitian eigenvalue problems. To obtain the eigenpairs of interest in the interior of the spectrum, we must take advantage of the most efficient parallel numerical algorithms. Several methods have been developed and implemented in Nanoelectronic Modeling software package NEMO-3D, including (P)ARPACK, (Block) Lanczos and Tracemin. In this paper, the performance and tradeoffs of these algorithms for realistic models are discussed. The effectiveness of code optimization techniques such as SSE2 vectorization is also presented.

Keywords  Lanczos - PARPACK - Tracemin - Eigenvalues - Atomistic - Tight binding - Quantum dot - NEMO-3D

Fulltext Preview

Image of the first page of the fulltext document