I am interested in further development of my recent work, in
collaboration with John Toner and Sudip Chakravarty (cond-mat/ 0407308,
cond-mat/ 0501219 ), on metal to superconductor QPT  tuned by dissipation
in JJ-arrays. Since the phase transition is intrinsically local in
charater, it happens in arbitrary spatial dimension. We have derived a
set of results which are valid in any D, among them the existence of a
continuous locus of critical points (the phase boundary between the metal
and the superconductor), the form of which depends on only the local
topology of the lattice. To make connection with naturally
occuring materials such as the heavy fermions, other than artificially
fabricated arrays, I would like to address the following issues while at
KITP:
*Including fermions at some level.
*Exploring the quantum critical region to see if there is \omega/T
scaling.
*Making a crisp experimental prediction to test the inherent local
charater of the QPT.
 
 Philip Phillips and Claudio Chamon recently claimed on quite general
grounds (cond-mat/ 0412179) that a conventional QPT cannot produce
linear-T resistivity in the quantum critical regime. The issue is of 
utmost importance for the cuprates, and also for the heavy fermions.
However, their arguments cannot rule out the case where the effective
dimensionality of the QPT is zero, and also the case of deconfined
quantum criticality where more than one length scale diverge at the
transition. I would like to better understand this problem, and hopefully
address within our work described above, while I am at KITP.