https://doi.org/10.1140/epjb/e2004-00197-6
Dynamics and scaling in the periodic Anderson model
Oxford University, Physical and Theoretical Chemistry Laboratory,
South Parks Road, Oxford OX1 3QZ, UK
Corresponding author: a dlogan@physchem.ox.ac.uk
Received:
2
April
2004
Revised:
11
May
2004
Published online:
12
July
2004
The periodic Anderson model (PAM) captures the essential
physics of heavy fermion materials. Yet even for the paramagnetic metallic
phase, a practicable many-body theory that can simultaneously handle all energy scales
while respecting the dictates of Fermi liquid theory at low energies,
and all interaction strengths from the strongly correlated Kondo lattice through to
weak coupling, has remained quite elusive.
Aspects of this problem are considered in the present paper
where a non-perturbative local moment approach (LMA) to single-particle dynamics of
the asymmetric PAM is developed within
the general framework of dynamical mean-field theory.
All interaction strengths and energy scales are encompassed, although
our natural focus is the Kondo lattice regime of essentially
localized f-spins but general conduction band filling, characterised by
an exponentially small lattice coherence scale 
. Particular
emphasis is given to the resultant universal scaling behaviour of dynamics
in the Kondo lattice regime
as an entire function of 
, including
its dependence on conduction band filling, f-level asymmetry and lattice type.
A rich description arises,
encompassing both coherent Fermi liquid behaviour at low-
and the crossover to effective single-impurity scaling physics at higher
energies — but still in the 
-scaling regime, and
as such incompatible with the presence of two-scale `exhaustion'
physics, which is likewise discussed.
PACS: 71.27.+a – Strongly correlated electron systems; heavy fermions / 75.20.Hr – Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
