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Spin Wave Model to study multilayered magnetic materials

Spin Wave Model to study multilayered magnetic materials. Sarah McIntyre. Why study spin waves?. Atomic level precision materials Well defined interfaces Magnetic properties of buried interfaces difficult to measure Probe via spin waves. Ferromagnetism. Spins align parallel

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Spin Wave Model to study multilayered magnetic materials

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  1. Spin Wave Model to study multilayered magnetic materials Sarah McIntyre

  2. Why study spin waves? • Atomic level precision materials • Well defined interfaces • Magnetic properties of buried interfaces difficult to measure • Probe via spin waves

  3. Ferromagnetism • Spins align parallel • Exchange interaction • Resultant magnetic field • Low anisotropy

  4. Antiferromagnetism • Spins align antiparallel • Not net magnetic field • High anisotropy

  5. Ferromagnetic resonance mode

  6. Ferromagnetic resonance mode

  7. Ferromagnetic resonance mode

  8. Ferromagnetic resonance mode

  9. Excited modes

  10. Model Lattice

  11. Hamiltonian

  12. Equations of motion Commutators of the Hamiltonian; Assume plane wave solution;

  13. Dipole sums Slow to converge

  14. Dipole sums Rapidly convergent form

  15. Mode Profiles in a Ferromagnetic Film

  16. Multilayers

  17. Pinning of the FMR mode

  18. Frequency shifts due to an interface

  19. Frequency shifts due to an interface

  20. Frequency shifts due to an interface

  21. Frequency shifts due to an interface

  22. Future Work • Fine tuning experimental parameters • Fit to data sets from experiment • Value for exchange at the interface?

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