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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Application of Advanced Diagonalization Methods to Quantum Spin Systems

Authors : Jie Yu Wang, Ralf Meyer

Published in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Publisher: Springer International Publishing

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Abstract

In this work, the Block Davidson and the residual minimization-direct inversion in the iterative subspace (RMM-DIIS) algorithms are used to diagonalize the Hamilton matrices arising from antiferromagnetic spin-\(\frac{1}{2}\) Heisenberg models. The results show that both algorithms find reliably the lowest eigenvalues but the computational costs are smaller for the RMM-DIIS method. In addition to this, the authors show that the new Intel Xeon Phi coprocessor can be used efficiently for this type of problems.

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Metadata
Title
Application of Advanced Diagonalization Methods to Quantum Spin Systems
Authors
Jie Yu Wang
Ralf Meyer
Copyright Year
2015
Book
Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Print ISBN: 978-3-319-12306-6

Electronic ISBN: 978-3-319-12307-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12307-3_70

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