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Kernel Polynomial Method for Linear Spin Wave Theory
by Harry Lane, Hao Zhang, David Dahlbom, Sam Quinn, Rolando D. Somma, Martin Mourigal, Cristian D. Batista, Kipton Barros
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Harry Lane |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2312.08349v2 (pdf) |
| Date submitted: | 2024-02-06 10:37 |
| Submitted by: | Lane, Harry |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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Abstract
Calculating dynamical spin correlations is essential for matching model magnetic exchange Hamiltonians to momentum-resolved spectroscopic measurements. A major numerical bottleneck is the diagonalization of the dynamical matrix, especially in systems with large magnetic unit cells, such as those with incommensurate magnetic structures or quenched disorder. In this paper, we demonstrate an efficient scheme based on the kernel polynomial method for calculating dynamical correlations of relevance to inelastic neutron scattering experiments. This method reduces the scaling of numerical cost from cubic to linear in the magnetic unit cell size.
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Strengths
The paper considers application of kernel polynomial method for calculation of linear response functions (in particular, dynamic susceptibilities) within the linear spin-wave theory.
Weaknesses
The paper is a bit technical, but at the same time provides an important contribution for practical implementation of spin-wave theory for complex systems.
Report
The authors suggest using kernel polynomial method for calculation of the dynamical spin correlation functions within the linear spin-wave theory. For systems with large unit cells straightforward application of the linear spin wave theory (LSWT) for calculation of dynamic susceptibilities may meet computational difficulties. The authors argue that their method is superior in comparison to LSWT with respect to the computational time. They demonstrate applicability of the method on 3 examples: quenched disorder, incommensurate magnetic order and the so called 'triple k' phase of skyrmion lattice order. The examples they analyse are rather impressive and provide demonstration of the power of their method. Therefore, in my opinion, the paper provides substantial contribution in the field of magnetism of insulating systems.
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Recommendation
Publish (surpasses expectations and criteria for this Journal; among top 10%)
Report
Yes, I recommend publication of this work