Front. Phys., 2011, 6(4): 347–349DOI 10.1007/s11467-011-0226-8
PERSPECTIVE Gifts from the superconducting curiosity shop David Mandrus1,2
1Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996 USA
2Materials Science and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USAReceived October 16, 2011; accepted November 20, 2011
Superconductivity has just celebrated its 100th birthday,
per Matthias demonstrated that a universal curve could
and yet despite its advanced age it has never been more
be drawn for Tc as a function of (e/a) for elements and
alive. Given that most subfields of materials physics have
simple compounds with a maxima at 5 and 7 and a min-
a half-life of about seven years, what accounts for the
imum at 6 [4]. Although this simple rule worked well
enduring popularity of superconductivity? What is it
for elements and simple binaries, it eventually became
about superconductivity that continues to fascinate?
clear that the rule failed for more complex ternary com-
The answer, of course, is that “it’s the materials,
pounds like the Chevrel phases. In 2001 Pickett observed
stupid.” And especially the exciting new materials that
that many of the newer superconductors that violated
serve to periodically re-energize the field. Superconduct-
Matthias’s rules had several things in common: “(i) must
ing materials display a nearly zoological level of diversity
be multicomponent — more than a binary; (ii) at least
and complexity, ranging from elemental metals to multi-
one site should have variable occupancy (“dopant”); (iii)
nary intermetallics, Zintl phases, organics, and oxides.
large electronegativity difference between constituents;
Some are good metals, some are “bad” metals [1], some
(iv) proximity to a magnetic or insulating phase; (v)
are semimetals, and some are barely metals at all. The
mixed antibonding bands at the Fermi level; (vi) there
interplay of magnetism and superconductivity is deeply
are favorable electron/ion ratios.” [5] It must be said
mysterious, as is the relationship between ferroelectric-
that although these new rules have stood up rather well
ity and superconductivity [2]. Dimensionality also seems
so far, they have limited predictive power and are not
important in that many of the most interesting supercon-
terribly helpful for finding new materials. In fact, theory
ductors have layered crystal structures, and yet this, too,
has generally not been of much help in finding new su-
is mysterious in that there seems to be no good way to
perconductors. This has been emphasized by Fisk, who
quantify the “2D-ness” of a system in a consistent way.
has pointed out that the graph of maximum Tc vs. time
Further mysteries abound, especially when one starts to
“sails through 1957 BCS without a glitch.” [6]
think about superconductors from a chemical point of
It must be recognized, therefore, that at least for now
view. Why is it, for example, that some of the most in-
we are dependent on serendipity for the discovery of
teresting superconductors (e.g., La2CuO4 and BaFe2As2
new superconductors. This is why new families of su-
families) have both ionic and covalent bonding in the
perconductors so often seem to come from “out of the
same material? This is reminiscent of the Zintl concept,
blue.” This is actually a dangerous situation, for the
in which electrons from element A are donated to ele-
kind of exploratory synthesis that is required to find
ment B, which then uses the donated electrons to form
new families of superconductors is losing ground to a
covalent bonds (NaTl is the classic example) [3].
“materials-by-design” mindset in which progress can be
Although it is clear that new materials are the
“directed” by “high throughput” computing. Something
lifeblood of superconductivity, it is not clear where future
similar has happened in drug research. Writing in the
materials will come from as we have no good heuristics
Financial Times, Shaywitz and Taleb explain that the
(rules of thumb) for finding interesting new superconduc-
dwindling drug pipelines can be understood as a failure
tors. It is not for lack of trying. In the 1950s (pre-BCS)
to capitalize on “positive uncertainty,” or serendipity:
Matthias developed the first set of guidelines for finding
. . . The process of drug development is also very
new superconductors by emphasizing certain regularities
difficult to predict, because of both our limited un-
among superconducting elements and compounds, espe-
derstanding of disease and our inevitably imperfect
cially the valence electron/atom (e/a) ratio. In a 1955 pa-
understanding of the effect any new compound will
c Higher Education Press and Springer-Verlag Berlin Heidelberg 2011
David Mandrus, Front. Phys., 2011, 6(4)
have on the body. While design played a pivotal role
have interesting lattice properties because the caged ion
in the development of effective HIV drugs, other
has a much lower characteristic vibrational frequency
modern medications were discovered in the old fash-
than atoms making up the cage. This is readily appar-
ioned way: by accident. Viagra, for example, was
ent in specific heat experiments, where a low frequency
originally developed as a treatment for chest pain.
Einstein contribution is clearly visible. Other clathrate
In the face of declining productivity, pharma
(and crypto-clathrate) superconductors include Al10V
companies have been trying to boost output by in-
[10], KOs2O6 [11], and Ba8Si46 [12].
creasing efficiency, narrowing their focus to a hand-
The next one is polysulfur nitride (SN)x, which was
ful of disease areas, shelving safe but ineffective
discovered to superconduct at 0.26 K by Greene and co-
compounds without fully exploring their scientific
workers in 1975 [13]. (SN)x is a quite curious material
potential and trying to ensure that each project the
because it is an inorganic polymer, and in fact the first
company is working on is carried out with a clearly
polymer discovered to superconduct. It is highly one-
defined market segment in mind. Unfortunately, for
dimensional, and grows as golden fibrous crystals with
new medicines in particular, this strategy often fails
metallic luster. The fibers are several hundred Angstroms
significantly to reduce exposure to negative uncer-
across and are composed of highly oriented (SN)x chains.
tainty — all the bad things that can happen during
Polysulfur nitride in some sense presages the explosion
drug development — and eliminates much of the
of interest in low dimensional metals, organics, and even
exposure to positive uncertainty (serendipity) that
nanowires. It is also notable that two of the precursors
in the synthesis, S2N2 and S4N4, are both explosive and
I think the lesson that should be drawn is that there
thus great care must therefore be taken in the prepara-
should always be room for serendipity in science, and
particularly in the search for new materials.
The third material is a superconductor discovered
A “curiosity shop” conjures up the image of a large,
in 2007 by Hosono’s group, 12CaO·7Al2O3:e− [14]. By
disorganized, and slightly musty store in an older part of
a chemical reduction treatment oxygen ions in sub-
town that has accumulated so many odds and ends over
nanometer cages are removed, allowing doped electrons
the years that nobody is really sure what is in there any-
to occupy the former oxygen sites. Hosono calls the resul-
more. I think in many respects such an image is fitting for
tant material an inorganic “electride,” which is typically
the vast literature on superconductivity, and I thought I
composed of an anionic electron and the cationic frame-
would briefly mention three of the more unusual super-
work. As the authors amusingly point out, oxides such as
conductors I have come across while rummaging around
Al2O3 are typically used as “architectural materials.” In
there. These superconductors are not fashionable and do
other words, this material is essentially superconducting
not have very high transition temperatures, but they are
cement, and is about as far away from Matthias’s rules
fascinating nevertheless because they are oddities and
serve to highlight the sheer chemical diversity of super-
Perhaps the secret to eternal youth is simply to re-
main curious? In that case the future of superconduc-
The first one is a silver clathrate salt, Ag7O8NO3.
tivity looks bright because there is little doubt that new
Superconductivity in this material (and some relatives)
superconductors will continue to be found as long as we
was reported by Robin and co-workers in 1966 [8]. The
argentic oxide salts (Ag7O8)+X− (X− = NO−
4 ) are cubic clathrates consisting of face-
sharing, 26-sided Ag6O8 polyhedra with the anions lo-
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