After more than twenty years of intense research on high-temperature cuprate
superconductors, volumes of data have been amassed detailing the behavior of these
fascinating materials. Versatile shapeshifters, the cuprates change from an insulator,
to a superconductor, to a "strange" metal (that is, a metal that can't be described as
a Fermi liquid), all within a relatively narrow range of temperatures and carrier
doping. The comprehensive description of this clash of different phases of matter is a
formidable task at the heart of modern condensed-matter physics. In particular, no
theory has managed to consistently describe the properties of the strange metal within
one framework.
Now, in a paper appearing in Physical Review Letters, Philip Casey and Philip Anderson
of Princeton University generalize the hidden Fermi-liquid theory, which they developed
in their earlier work, to provide a self-consistent description of the strange metal
state. Their theory offers a natural explanation of a variety of spectroscopic and
transport experiments on cuprates.
Casey and Anderson's idea is based on the ansatz that the strange metal phase of the
cuprates is described by an ordinary, well-understood Fermi-liquid theory that exists,
but which is hidden in an unphysical Hilbert space (an analog of a Platonic world). In
this picture, projecting the familiar Fermi liquid back into the physical world (i.e.,
making a measurement) converts the Fermi liquid into the experimentally observed
strangeness. If Casey and Anderson's theory withstands further experimental scrutiny,
it will surely be a leap forward in our understanding of the cuprates.
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