Pseudospectral Landau-Lifshitz description of magnetization dynamics
- Univ. of Colorado, Colorado Springs, CO (United States); University of Colorado Colorado Springs
- Sheffield Hallam Univ. (United Kingdom)
- Univ. of Hull (United Kingdom)
- Univ. of Colorado, Colorado Springs, CO (United States)
Magnetic materials host a wealth of nonlinear dynamics, textures, and topological defects. This is possible due to the competition between strong nonlinearity and dispersion, which act at the atomic scale, as well as long-range interactions. However, these features are difficult to study analytically and numerically because of the vastly different temporal and spatial scales involved. Here, in this work, we present a pseudospectral approach for the Landau-Lifshitz equation that invokes energy and momentum conservation embodied in the magnon dispersion relation to accurately describe both atomic and continuum limits. Furthermore, this approach enables analytical study at every scale. We show the applicability of this model in both the continuum and atomic limit by investigating modulational instability and ultrafast evolution of magnetization due to transient grating, respectively, in a one-dimensional ferromagnetic chain with perpendicular magnetic anisotropy. This model provides the possibility of grid-independent multiscale numerical approaches that will enable the description of singularities within a single framework.
- Research Organization:
- University of Colorado, Colorado Springs, CO (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- SC0024339
- OSTI ID:
- 2349077
- Alternate ID(s):
- OSTI ID: 2356987
- Journal Information:
- Physical Review. B, Journal Name: Physical Review. B Journal Issue: 18 Vol. 109; ISSN 2469-9950
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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