Heavy electron metals on the verge of a quantum phase transition to magnetism
show a number of unusual non-fermi liquid properties which are poorly
understood. This article discusses in a general way various theoretical aspects
of this phase transition with an eye toward understanding the non-fermi liquid
phenomena. We suggest that the non-Fermi liquid quantum critical state may have
a sharp Fermi surface with power law quasiparticles but with a volume not set
by the usual Luttinger rule. We also discuss the possibility that the
electronic structure change associated with the possible Fermi surface
reconstruction may diverge at a different time/length scale from that
associated with magnetic phenomena.Comment: 16 pages, 2 figures. Proceedings of workshop on ``Mottness and
Quantum Criticality", Tobago, West Indies, June 8-19 (2005), to appear in
Annals of Physic