Electronic Structure of Correlated Electron Materials
One of the most interesting aspects of modern condensed matter
physics is the study of macroscopic manifestations of
electron-electron correlations. Such correlations are generally strongest
in nearly localised, "narrow band" systems where the Coulomb repulsion energy acquires a similar
magnitude to the electronic bandwidth. Examples of such materials are
the transition metal oxides, or the heavy fermion materials.
One way to gain insight into how these strong correlations affect the
properties of these materials is to study quantum
oscillations that arise in metallic samples in strong applied magnetic
fields. Due to the wave nature of the electrons, the motion of electrons
in a field leads to subtle interference effects which we can pick up, but only
at the lowest temperatures, in very strong fields, and only for
samples of very high purity. For this purpose, we have a dedicated
cryomagnetic system, with fields up to 18 T and temperatures down to a
few mK, and with a noise level that is amongst the lowest in the
world.
The exact form of the oscillatory interference pattern, and its
dependence on field and temperature, gives us both the shape of the
Fermi surface and the effective quasiparticle masses. An example of
the Fermi surface of the complex oxide material Sr2RuO4
measured in our lab is shown at right. Quite often,
these results are completely surprising and strongly deviate from
theoretical predictions. For example, our recent study of the
superconducting layered oxide
Ag5Pb2O6 (left) revealed a Fermi
surface totally at odds with theoretical predictions. In fact, thanks
to our experimental results, this compound has been identified as the
first ever (monovalent) nearly free electron superconductor.
Studies in heavy fermion materials, on the other hand, can yield
effective mass values 100-1000x higher than electron masses in vacuum
that cannot be inferred from first principles. The information so
obtained forms an "identity card" for the metallic state on which
theories of e.g. superconductivity and other Fermi liquid
instabilities can be based.
Novel Superconductors
After almost a century of research into superconductivity, this fascinating phenomena
continues to yield surprises. One example is the recently discovered graphite based
superconductors C6Yb and C6Ca (see figure at right), which are formed by intercalating
Ytterbium or Calcium between sheets of Carbon atoms. These compounds superconduct
at temperatures an order of magnitude higher than previous generation of intercalated superconductors, and
have sparked debate as to the cause. Our group was involved in
the discovery of these new materials, and there is an ongoing effort to characterize and study
these and other graphite based superconductors.
Similar to the graphite case, the superconductor MgB2 can be thought of
as Magnesium layers sandwiched between hexagonal Boron layers, as depicted in the figure at left.
With a remarkably high Tc of 39 K, this compound has attracted considerable interest, both
from a theoretical and applications based perpspective.
Our group has been involved in studies of the Fermi surface of this material by using piezoresistive
torque cantilevers to probe oscillations in the magnetization.
High Tc Materials
The high Tc superconductors are the class of materials with the highest recorded transition temperatures,
on the order of 100 K and above. Discovered over 20 years ago, there remain a number of unanswered questions
about these compounds. One of the key mysteries surrounds the identity of the so-called 'pseudogap' region of the
phase diagram (see figure at right). In this regime there exists a gap like feature observed in many physical
quantities, yet there is no obvious signs of an ordered phase. Some of the research in the group has been
directed at studying the specific heat of the high Tc's in the pseudogap region of the phase diagram.
A second intriguing questions is surrounds how the high-Tc's evolve with charge carrier
concentration (doping), moving from
an antiferromagnetically ordered insulator at low doping, to an unconventional superconductor and eventually
a Fermi liquid metal at higher doping. At low dopings, there is evidence for a 'glassy' behaviour of electonic spins,
and part of our research effort is directed towards exploring this region of the phase diagram through
muon-spin relaxation, transport and dielectric measurements.
Quantum Ferroelectrics
The simplest ferroelectric materials turn out to provide a 'text-book' example of quantum criticality in the solid state. Ferroelectrics are materials that when cooled below their phase transition temperature Tc, undergo breaking of lattice inversion symmetry and spontaneously develop a macroscopic polarization. Pressure can be used as a 'quantum tuning parameter', as shown in the first figure, to suppress Tc towards absolute zero. In the region where the temperature scale is much less than the Debye temperature of the lowest transverse-optic soft mode, quantum rather than classical statistical mechanics are required to understand the observed behaviour. In this (yellow) region, order-parameter fluctuations are typically found to exist in a four-dimensional space and the lattice is observed to fluctuate in a wildly unconventional form.
Going beyond the simplest ferroelectric materials can lead to a much more complex picture. Coupling of the critical ferroelectric modes to other degrees of freedom such as magnetic excitations, delocalised electrons or other phonon branches is expected to give rise to a rich phase diagram of physical phenomena. This has motivated our research in for example, multiferroic materials and ferroelectric metals. Evidence in fact exists for superconductivity on the boundary of a ferroelectric state in a number of materials, as exemplified by the second figure shown, where one expects the ferroelectric polarization waves to interact with the electron liquid.
Technological applications of quantum ferroelectric materials include novel cooling systems, energy storage units, sensing devices and computer memory.

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