Microscopic spin-wave theory for yttrium-iron garnet films

Details Microscopic spin-wave theory for yttrium-iron garnet films Microscopic spin-wave theory for yttrium-iron garnet films

2009-03-17

arxiv.org/abs/0903.2847v2

Eur. Phys. J. B 71, 59 (2009)

Physics

Condensed Matter

Materials Science

10 pages, 8 figures, final version (minor corrections, references updated)

Scientific paper

10.1140/epjb/e2009-00279-y

Motivated by recent experiments on thin films of the ferromagnetic insulator yttrium-iron garnet (YIG), we have developed an efficient microscopic approach to calculate the spin-wave spectra of these systems. We model the experimentally relevant magnon band of YIG using an effective quantum Heisenberg model on a cubic lattice with ferromagnetic nearest neighbor exchange and long-range dipole-dipole interactions. After a bosonization of the spin degrees of freedom via a Holstein-Primakoff transformation and a truncation at quadratic order in the bosons, we obtain the spin-wave spectra for experimentally relevant parameters without further approximation by numerical diagonalization, using efficient Ewald summation techniques to carry out the dipolar sums. We compare our numerical results with two different analytic approximations and with predictions based on the phenomenological Landau-Lifshitz equation.

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