Short film of a magnetic nano-vortex

A magnetic sticker staying attached to a refrigerator door is hardly surprising. However, when one approaches the nanometre range (where one nanometer is one millionth of a millimeter), physicists still find magnets, and their behaviour, puzzling. At the same time, the effects occurring on this small scale are highly relevant for future technologies. Now, for the first time, PSI researchers were able to record a short "film" of the three-dimensional magnetic structure inside a material with nanoscale resolution.

"Magnetism plays a role in many ways in our everyday lives; but at this very small, fundamental level, the phenomena are not yet fully understood", explains Claire Donnelly, lead author of the study. Donnelly was a researcher at PSI at the time of the experiment and now works at the University of Cambridge in the UK.

The researchers used X-ray light from the Swiss Light Source SLS at PSI and a special tomographic method they recently developed there, which they call "time-resolved ptychographic laminography". Their team consisted of scientists at PSI and ETH Zurich, as well as in the UK. The sample they examined consisted of a gadolinium-cobalt compound patterned into a circular disc.

More than four days for seven images

"With our method we can non-destructively scan the material and from the data reconstruct several successive 3D images of the inner magnetic structure", says PSI researcher Manuel Guizar-Sicairos. "We can visualise the orientation of the magnetic moment at every measured point in the material and represent them as tiny magnetic compass needles."

Just like magnetic filings, these compass needles react to an external magnetic field and to each other, forming intricate patterns throughout the entire object. The patterns contain areas – so-called domains – in which the magnetisation points predominantly in one direction. The transitions between two such areas, i.e., the domain walls, are of particular interest to researchers: "People have proposed using them as memory bits, which could possibly be used to pack data even more tightly than when using the domains", says Donnelly. The details of these domain walls have only recently been made visible in 3D at PSI, among other places, using state-of-the-art imaging methods.

In the present study, the researchers went one step further by mapping the motion of both the domains and the domain boundaries. "We have taken seven snapshots showing points in time that are only a quarter of a billionth of a second apart. In these we can see how a domain boundary moves back and forth." It took the scientists a little more than four days of constant measuring to collect the data, which later yielded this sequence of seven images.

Like stroboscopic light

The observed movement of the domain boundary was repeatedly and specifically induced by the researchers themselves through an externally applied magnetic field. Their images were therefore not actually recorded within a quarter of a billionth of a second. Instead, the scientists created a time loop of the changing magnetic field and took images at different points in time within it– similar to stroboscopic light seemingly slowing down a repetitive movement.

The recording of the 3D images from inside the sample in turn draws on a basic principle from computed tomography (CT). Similar to medical CT scans, the X-rays were used to take many radioscopic images of the sample one after the other, each from a slightly different angle. From the data collected, the researchers were able to recover their 3D maps of the magnetisation using software they had developed for this purpose.

"With this method, we have not just achieved time-resolved 3D movies of the interior of an object", says Donnelly happily. "We also have been able to map the nanoscale dynamics in a magnet. In other words, we have shown that our new technique is really relevant to the development of new technology." And Guizar-Sicairos adds: "Our new method is also suitable for other materials and could therefore have many more useful applications in the future."

Text: Paul Scherrer Institute/Laura Hennemann