Kernel Polynomial Method for Linear Spin Wave Theory

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Lane, Harry, Zhang, Hao, Dahlbom, David, Quinn, Sam, Somma, Rolando D., Mourigal, Martin, Batista, Cristian D., Barros, Kipton
Format: Preprint
Published: 2023
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866912133305860096
author Lane, Harry
Zhang, Hao
Dahlbom, David
Quinn, Sam
Somma, Rolando D.
Mourigal, Martin
Batista, Cristian D.
Barros, Kipton
author_facet Lane, Harry
Zhang, Hao
Dahlbom, David
Quinn, Sam
Somma, Rolando D.
Mourigal, Martin
Batista, Cristian D.
Barros, Kipton
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_08349
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Kernel Polynomial Method for Linear Spin Wave Theory
Lane, Harry
Zhang, Hao
Dahlbom, David
Quinn, Sam
Somma, Rolando D.
Mourigal, Martin
Batista, Cristian D.
Barros, Kipton
Strongly Correlated Electrons
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.
title Kernel Polynomial Method for Linear Spin Wave Theory
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2312.08349