I have two current interests in the field of quantum phase transitions.

First, does nesting play an important role for magnetic quantum critical
points?  It certainly does for the simple case of vanadium doped chromium,
and there are indications that it may also play a role in the bilayer
ruthenates.  It is interesting to note that most systems of interest, such
as Au doped CeCu6, exhibit incommensurate magnetism, indicating the
possibility of nesting.

Second, I believe the nature of the magnetically ordered phase on the other
side of the critical point in heavy fermion systems is not well understood.
There is a general assumption by many in the community that the f electrons
localize in the magnetic phase.  This seems to be incompatible with the high
specific heat coefficient observed in the magnetic phase, along with the
fact that in many cases, the staggered magnetic moment is very small.

In this context, my most recent work concerns the electronic structure of
YbRh2Si2 and the nature of its Fermi surface, so as to address some
questions concerning the nature of its magnetic quantum critical point.