Fractals make better superconductors


Superconductivity, where a material conducts electricity at very low temperature with no resistance, and therefore transmission wastes virtually no energy, has applications ranging from medical scanners to maglev trains. Until now, scientists have focused on atomic-scale phenomena to explain this mysterious property of some special compounds. But in this week’s Nature, a team from the University of Rome (Italy), the University College London (United Kingdom) and the ESRF report that the strength of the superconductivity – its ability to persist as temperature is increased– correlates in certain oxide materials with structures visible over a range of length scales. Intriguingly, these structures extend almost to the millimeter scale, and have a “fractal” nature, similar to the intricate patterns in a snowflake.

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Since the discovery of superconductivity at the beginning of the last century, there has been a constant quest for improved performance in the form of higher operating temperatures and capacity to carry electrical power. A major breakthrough occurred in 1987 when two scientists from IBM discovered that oxides of copper, previously thought to be most unlikely candidates for superconductivity, superconduct at unprecedentedly high temperatures. Since then, this class of materials continues to hold the record for operating temperatures, well above the boiling temperature of inexpensive liquid nitrogen. At the same time, though, there is no agreement as to the mechanism underlying this high performance, even though a clear understanding would be extremely beneficial for engineers.

Until now, scientists have focused on the structure at the nanometer scale as the determinant of the unusually strong superconductivity of the oxides of copper. For this week’s Nature article, the researchers used the new technique of X-ray microscopy to examine a copper oxide superconductor whose internal structure could be changed via simple heat treatments – an approach employed by ceramicists over millennia to modify oxide materials.

The team discovered that the best superconductivity was obtained when the microstructure was most ‘connected’, meaning that it is possible to trace a path with the same nanostructure (exhibited by oxygen atoms) over a large distance. The microstructure in this case was ‘fractal’: if we were to zoom in on the material’s structure at increasing levels of magnification,  its appearance would remain the same.

Co-author Antonio Bianconi of the University Rome noted that “We are very excited by our results because they show that fractals, which are ubiquitous in both the biological sciences and the social sciences where they are even used to contemplate the behaviour of financial markets, now appear to have a significant impact on a fundamental property of inorganic matter, its superconductivity.” Co-author Gabriel Aeppli of the London Centre for Nanotechnology and University College London, added that “While there is no detailed theoretical explanation for what we have discovered yet, it demonstrates that classical ceramic engineering – with visible effects at near millimeter scales – can collude with quantum physics to produce the best superconductors.”


Fratini, N., et al, Nature, 466, 841–844, 2010.

Top image: Heat treatment improves superconductivity of ceramic copper oxides by creating a fractal network of connected channels of ordered oxygen defects. The green and red spheres are the paired electrons responsible for superconductivity. Credits: M.Vogtli.