The picture shows the glowing filament which keeps the sample at constant temperatures during the measurements. Credit: © HZB

Magnetic solids can be demagnetized quickly with a short laser pulse, and there are already so-called HAMR (Heat Assisted Magnetic Recording) memories on the market that function according to this principle. However, the microscopic mechanisms of ultrafast demagnetization remain unclear. Now, a team at HZB has developed a new method at BESSY II to quantify one of these mechanisms and they have applied it to the rare-earth element Gadolinium, whose magnetic properties are caused by electrons on both the 4f and the 5d shells. This study completes a series of experiments done by the team on nickel and iron-nickel alloys. Understanding these mechanisms is useful for developing ultrafast data storage devices.

New materials should make information processing more efficient, for example, through ultrafast spintronic devices that store data with less energy input. But to date, the microscopic mechanisms of ultrafast demagnetization are not fully understood. Typically, the process of demagnetization is studied by sending an ultrashort laser pulse to the sample, thereby heating it up, and then analyzing how the system evolves in the first picoseconds afterward.

Snapshot of the lattice condition

"Our approach is different," explains Dr. Régis Decker, lead author of the study. "We keep the sample at a certain temperature during the spectra acquisition. And we do that for many temperatures, from -120°C to 450°C for Gd—and much higher (1000°C) for previous experiments with Ni and FeNi. This allows us to quantify the effect of the phonons for each temperature on the ultrafast demagnetization, where the temperatures of the lattice, electrons and spins subsystems evolve with time. In other words, by placing the system at a certain temperature, we do a capture of the lattice condition at a given time after the ultrashort laser pulse and we measure there."

Gadolinium examined

The element gadolinium has 4f and 5d electron orbitals, which both contribute to its ferromagnetic properties. The higher the temperature, the more the crystalline sample vibrates. And as physicists say—the more the population of phonons increases, and the more likely spin-flips are to occur due to the scattering of electrons with phonons from the crystal lattice.

Scattering rates distinguished

Using the method of inelastic X-ray scattering (RIXS), the physicists were able to not only determine the number of phonons at a given temperature, but also to distinguish the interactions between phonons and 4f- and 5d-electrons. Using the strict X-ray spectroscopic symmetry selection rules, the evaluation succeeded in distinguishing between the scattering rates of the 4f and 5d electrons.

5d electrons interact with phonons

The data show that there is hardly any scattering between the localized 4f electrons and phonons, but most of the scattering process takes place between 5d electrons and phonons, so that a spin-flip only occurs there. "Our approach evidences that the electron- scattering, which is known to be one of the main trigger of demagnetization, applies to the 5d electrons only. Interestingly, it also shows the presence of a temperature threshold, which depends on the material, below which this does not occur. This indicates the existence of another microscopic mechanism at lower , as predicted by theory," Decker explains.

More information: Régis Decker et al, Spin-lattice angular momentum transfer of localized and valence electrons in the demagnetization transient state of gadolinium, Applied Physics Letters (2021). DOI: 10.1063/5.0063404

Régis Decker et al, Measuring the atomic spin-flip scattering rate by x-ray emission spectroscopy, Scientific Reports (2019). DOI: 10.1038/s41598-019-45242-8

Artur Born et al, Thresholding of the Elliott-Yafet spin-flip scattering in multi-sublattice magnets by the respective exchange energies, Scientific Reports (2021). DOI: 10.1038/s41598-021-81177-9

Journal information: Scientific Reports , Applied Physics Letters