Optimized implementation of the Lanczos method for magnetic systems
J. Schnack (U. Bielefeld), P. Hage, H.-J. Schmidt (U. Osnabrueck)
TL;DR
This paper presents optimized techniques for implementing the Lanczos method to study magnetic systems, enhancing computational efficiency and parallelization for medium-sized spin system analyses.
Contribution
Introduces two improvements—efficient basis coding and restructuring for OpenMP parallelization—to enhance Lanczos diagonalization for magnetic systems.
Findings
Increased computational efficiency for medium-sized systems.
Effective parallelization with OpenMP.
Improved basis coding reduces memory usage.
Abstract
Numerically exact investigations of interacting spin systems provide a major tool for an understanding of their magnetic properties. For medium size systems the approximate Lanczos diagonalization is the most common method. In this article we suggest two improvements: efficient basis coding in subspaces and simple restructuring for openMP parallelization.
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