Spin-Wave Turbulence.

Spin-wave attractor

Spin wave turbulence found in an antiferromagnetic crystal under a powerful microwave pumping is a chaotic redistribution of the density of parametrically excited magnons in space and time.

The redistribution in space and time is due to the interaction between the magnons of the attractive type. The testing of the density of magnons excited by microwave pumping and measurements of microwave susceptibilities allowed us to determine experimentally the topological equivalents of the strange attractors of the spin wave turbulence shown in the Figure.

The attractors given here are obtained for a crystal of an antiferromagnet CsMnF3 at the temperature T=1.6K by pumping of about 1018 magnons per cm3 at the microwave frequency 20 GHz.

References:
  1. L.A.Prozorova, A.I.Smirnov, "Variation of the spin wave spectrum in interaction between magnons", Zh.Eksp.Teor.Fiz 74, 1554 (1978) [Sov.Phys.JETP 47, 812 (1978)]
  2. A.I.Smirnov, "Periodic redistribution of the density of parametrically excited spin waves in an antiferromagnet", Zh.Eksp.Teor.Fiz 88, 1369 (1985) [Sov.Phys.JETP 61, 815 (1985)]
  3. A.I.Smirnov, "Study of spin-wave-turbulence attractor geometry in antiferromagnetic CsMnF3", Zh.Eksp.Teor.Fiz 94, 185 (1988) [Sov.Phys.JETP 67, 969 (1988)]