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Magnetic order and microwave absorption in amorphous ferromagnets andmaterials sintered from nanoscale ferromagnetic grains are investigatedanalytically and numerically within the random-anisotropy model. We show that ascaling argument specific to static randomness allows one to make conclusionsabout the behavior of a large system with a weak disorder by studying a smallersystem with a strong disorder. The breakdown of the scaling on increasing thestrength of the magnetic anisotropy and/or the size of the grain separates twodistinct regimes in magnetic ordering and frequency dependence of the absorbedmicrowave power. Analytical results are confirmed by numerical experiments onspin lattices containing up to ten million spins. Our findings should helpdesign materials with desired magnetic and microwave properties. The method canbe extended to other systems with quenched randomness.

Scaling Theory of Magnetic Order and Microwave Absorption in Amorphous and Granular Ferromagnets