Kernel polynomial method for linear spin wave theory
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.
Authors
- Kipton Barros (ORCID: https://orcid.org/0000-0002-1333-5972)
- Martin Mourigal (ORCID: https://orcid.org/0000-0003-2772-8440)
- David Dahlbom (ORCID: https://orcid.org/0000-0002-0221-5086)
- Rolando D. Somma (ORCID: https://orcid.org/0000-0003-4335-2607)
- Harry Lane (ORCID: https://orcid.org/0009-0005-0391-4750)
- Hao Zhang (ORCID: https://orcid.org/0000-0002-9799-9118)
- Sam Quinn
- Christian D. Batista
Institutions
- Oak Ridge National Laboratory (US)
- Google (United States) (US)
- Georgia Institute of Technology (US)
- Los Alamos National Laboratory (US)
- University of St Andrews (GB)
- University of Tennessee at Knoxville (US)
Publication Details
- Journal
- SciPost Physics
- Published
- 2024-11-26
- DOI
- https://doi.org/10.21468/scipostphys.17.5.145
- Citations
- 5
- Primary Topic
- Physics of Superconductivity and Magnetism
- Type
- article
- Field-Weighted Citation Impact
- 1.55
Funders
- U.S. Department of Energy
- Royal Commission for the Exhibition of 1851
- Office of Science
- Basic Energy Sciences