Behavior of Fermi systems approaching fermion condensation quantum phase transition from disordered phase
V. R. Shaginyan
Petersburg Nuclear Physics Institute RAS, 188300 Gatchina, Russia
CTSPS, Clark Atlanta University, Atlanta, 30314 Georgia, USA
PACS: 71.10.Hf, 71.27.+a, 74.72.-h
Abstract
The behavior of Fermi systems which approach
the fermion condensation quantum phase transition (FCQPT)
from the disordered phase is considered.
We show that the quasiparticle effective mass M*
diverges as
where x is the system density
and xFC is the
critical point at which FCQPT occurs. Such a behavior is
of general form and takes place in both three dimensional (3D)
systems and two dimensional (2D) ones.
Since the effective mass M* is finite, the
system exhibits the Landau Fermi liquid behavior.
At
, the behavior can be viewed as a
highly correlated one, because the effective mass is large and
strongly depends on the density.
In case of electronic systems the Wiedemann-Franz law is held
and Kadowaki-Woods ratio is preserved.
Beyond the region
, the
effective mass is approximately constant
and the system becomes conventional Landau Fermi liquid.