Operating regimes and materials limits of nonlinear magnon dynamics in Co-doped YIG
Abstract
Magnonic information processing uses Kerr-type four-magnon anharmonicity to bound parametrically driven excitations. Here we show that this anharmonicity is constrained by material and mode properties. For the uniform mode of a saturated ferrimagnet, the Holstein--Primakoff reduction gives U=ωa/(2NeffΩ), where ωa is the anisotropy-field frequency, Ω the mode frequency, and Neff the net spin content fixed by saturation magnetization and mode volume. Requiring the drive to exceed Gilbert damping while keeping the saturated occupation below one gives αNeff<ωa/Ω, reducing to Neff<1/α at Ω=ωa. We test this criterion for Co-doped yttrium iron garnet using Lindblad calculations with thermal operators. Thermal stability permits low-damping garnet at 50 GHz (α<9.7×10−5) and 200 GHz (α<3.9×10−4), but this is not sufficient: the admissible drive window is nearly adiabatic and four orders of magnitude weaker than required. For a 20×20×10 nm3 cell, U=6.6×10−5, three orders below the range showing Fock-state confinement. One mechanism survives: the pair-phase transfer coefficient remains −1.000 down to U=0.01, with phase deviations of 22.4∘--40.7∘ ordered by thermal occupation. These results give a quantitative materials criterion for nonlinear magnonic devices and identify phase encoding as the mechanism accessible to a garnet film.
Versions
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BibTeX
@misc{tishin2026operating,
title = {{Operating regimes and materials limits of nonlinear magnon dynamics in Co-doped YIG}},
author = {A. M. Tishin},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.19647},
eprint = {2605.19647},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.19647},
}
RIS
TY - UNPB
TI - Operating regimes and materials limits of nonlinear magnon dynamics in Co-doped YIG
AU - A. M. Tishin
PY - 2026
DA - 2026/08/19
PB - arXiv
DO - 10.48550/arxiv.2605.19647
UR - https://arxiv.org/abs/2605.19647
AB - Magnonic information processing uses Kerr-type four-magnon anharmonicity to bound parametrically driven excitations. Here we show that this anharmonicity is constrained by material and mode properties. For the uniform mode of a saturated ferrimagnet, the Holstein--Primakoff reduction gives U=ω_a/(2N_effΩ), where ω_a is the anisotropy-field frequency, Ω the mode frequency, and N_eff the net spin content fixed by saturation magnetization and mode volume. Requiring the drive to exceed Gilbert damping while keeping the saturated occupation below one gives αN_eff<ω_a/Ω, reducing to N_eff<1/α at Ω=ω_a. We test this criterion for Co-doped yttrium iron garnet using Lindblad calculations with thermal operators. Thermal stability permits low-damping garnet at 50 GHz (α<9.7×10^−5) and 200 GHz (α<3.9×10^−4), but this is not sufficient: the admissible drive window is nearly adiabatic and four orders of magnitude weaker than required. For a 20×20×10 nm^3 cell, U=6.6×10^−5, three orders below the range showing Fock-state confinement. One mechanism survives: the pair-phase transfer coefficient remains −1.000 down to U=0.01, with phase deviations of 22.4^∘--40.7^∘ ordered by thermal occupation. These results give a quantitative materials criterion for nonlinear magnonic devices and identify phase encoding as the mechanism accessible to a garnet film.
ER -