Spin Wave Model to study multilayered magnetic materials Sarah McIntyre.

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Presentation transcript:

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 Exchange interaction Resultant magnetic field Low anisotropy

Antiferromagnetism Spins align antiparallel Not net magnetic field High anisotropy

Ferromagnetic resonance mode

Excited modes

Model Lattice

Hamiltonian

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

Dipole sums Slow to converge

Dipole sums Rapidly convergent form

Mode Profiles in a Ferromagnetic Film

Multilayers

Pinning of the FMR mode

Frequency shifts due to an interface

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