friend linked this article to me:
http://www.wired.com/wiredscience/2010/08/superconductor-fractals/
Inexplicable Superconductor Fractals Hint at Higher Universal Laws

   - By Brandon Keim<http://www.wired.com/wiredscience/author/brandon9keim/>
    [image: Email Author]  <[email protected]>
   - August 11, 2010  |
   - 1:00 pm  |
   - Categories: Physics<http://www.wired.com/wiredscience/category/physics/>
   -

What seemed to be flaws in the structure of a mystery metal may have given
physicists a glimpse into as-yet-undiscovered laws of the universe.

The qualities of a high-temperature superconductor — a compound in which
electrons obey the spooky laws of quantum physics, and flow in perfect
synchrony, without friction — appear linked to the fractal arrangements of
seemingly random oxygen atoms.

Those atoms weren’t thought to matter, especially not in relation to the
behavior of individual electrons, which exist at a scale thousands of times
smaller. The findings, published Aug. 12 in *Nature*, are a physics
equivalent of discovering a link between two utterly separate dimensions.

“We don’t know the theory for this,” said physicist Antonio Bianconi of
Rome’s Sapienza University. “We just make the experimental observation that
the two worlds seem to interfere.”

Unlike semiconductors, the metals on which modern electronics rely,
superconductors allow electrons to pass through without resistance. Rather
than bouncing haphazardly, the electrons’ movements are perfectly
synchronized. They flow like a fluid, but without viscosity.

For most of the 20th century, this was possible only in certain extremely
pure metals at temperatures approaching absolute zero, cold enough to quench
all motion but that of quantum particles, which interact with each other in
ways that defy the classic laws of space and time.

Then, in the mid-1980s, physicists Karl Muller and Johannes Bednorz
discovered a class of ceramic compounds in which superconductivity was
possible at much higher temperatures. The temperatures were still hundreds
of degrees Fahrenheit below zero, but it wasn’t even thought possible.

Muller and Bednorz soon won a Nobel
Prize<http://nobelprize.org/nobel_prizes/physics/laureates/1987/>,
but subsequent decades and thousands of researchers have not yielded a
theory of high-temperature superconductivity. “High temperatures should
destroy the quantum phenomenon,” said Bianconi, who decided to investigate
another odd property of these materials: They’re not quite regular. Oxygen
atoms roam inside, and assume random positions as they freeze.

“Everyone was looking at these materials as ordered and homogeneous,” said
Bianconi. That is not the case — but neither, he found, was the position of
oxygen atoms truly random. Instead, they assumed complex geometries,
possessing a fractal form: A small part of the pattern resembles a larger
part, which in turn resembles a larger part, and so on.

“Such fractals are ubiquitous elsewhere in nature,” wrote Leiden University
theoretical physicist Jan Zaanen in an accompanying commentary, but “it
comes as a complete surprise that crystal defects can accomplish this feat.”

If what Zaanen described as “surprisingly beautiful” patterns were all
Bianconi found, the results would have been striking enough. But they appear
to have a function.

In Bianconi’s samples, larger fractals correlated with higher
superconductivity temperatures. When the fractal disappeared at a distance
of 180 micrometers, superconductivity appeared at 32 degrees Kelvin. When it
vanished at 400 micrometers, conductivity went quantum at 42 degrees Kelvin.

At -384 degrees Fahrenheit, that’s still plenty cold, but it’s heading
towards the truly high-temperature superconductivity that Bianconi describes
as “the dream” of his field, making possible miniature supercomputers that
run at everyday temperatures.

However, while the arrangement of oxygen atoms appears to influence the
quantum behaviors of electrons, neither Bianconi nor Zaanen have any idea
how that could be. That fractal arrangements are seen in so many other
systems — from leaf patterns to stock market fluctuations to the frequency
of earthquakes — suggests some sort of common underlying laws, but these
remain speculative.

According to Zaanen, the closest mathematical description of superconductive
behavior comes from something called “Anti de Sitter space / Conformal Field
Theory correspondence,” a subset of string theory that attempts to describe
the physics of black holes.

That’s a dramatic connection. But as Zaanen wrote, “This fractal defect
structure is astonishing, and there is nothing in the textbooks even hinting
at an explanation.”

*Image: At left, the organization of oxygen atoms (blue dots) within the
superconducting metal; at right, measurements of superconductivity
temperature according to the distance (x- and y-axes) at which fractal
organization was still evident./Nature.*

*See Also:*

   - Quantum Entanglement Visible to the Naked
Eye<http://www.wired.com/wiredscience/2009/09/quantum-entanglement/>
   - Quantum Physics Used to Control Mechanical
System<http://www.wired.com/wiredscience/2010/03/mechanically-quantum/>
   - Amazing Starling Flocks Are Flying
Avalanches<http://www.wired.com/wiredscience/2010/06/starling-physics/>

*Citations: “Scale-free structural organization of oxygeninterstitials in
La2CuO41+y.” By Michela Fratini, Nicola Poccia, Alessandro Ricci, Gaetano
Campi, Manfred Burghammer, Gabriel Aeppli & Antonio Bianconi. Nature, Vol.
466 No. 7308, August 12, 2010.*

*“The benefit of fractal dirt.” By Jan Zaanen. Nature, Vol. 466 No. 7308,
August 12, 2010.*

*Brandon Keim’s Twitter <http://twitter.com/9brandon> stream and reportorial
outtakes <http://whalefall.tumblr.com/>; Wired Science on
Twitter<http://twitter.com/wiredscience>.
Brandon is currently working on a book about ecological tipping
points<http://tippingearth.net/>
.*

Tags: fractals <http://www.wired.com/wiredscience/tag/fractals/>,
materials<http://www.wired.com/wiredscience/tag/materials/>
, quantum physics <http://www.wired.com/wiredscience/tag/quantum-physics/>

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