A many-body theory of paramagnetic Kondo insulators is described, focusing
specifically on single-particle dynamics, scattering rates, dc transport and optical
conductivities. This is achieved by development of a non-perturbative
local moment approach to the symmetric periodic Anderson model within
the framework of dynamical mean-field theory. Our natural focus is the
strong-coupling, Kondo lattice regime, in particular the resultant 'universal'
scaling behaviour in terms of the single, exponentially small low-energy scale
characteristic of the problem. Dynamics/transport on all relevant (ω, T)-scales are
considered, from the gapped/activated behaviour characteristic of the low-temperature
insulator through to explicit connection to single-impurity physics at high ω and/or
T; and
for optical conductivities emphasis is given to the nature of the optical gap, the
temperature scale responsible for its destruction and the consequent clear distinction
between indirect and direct gap scales. Using scaling, explicit comparison is also
made to experimental results for dc transport and optical conductivities of Ce3Bi4Pt3,
SmB6 and
YbB12.
Good agreement is found, even quantitatively; and a mutually consistent picture
of transport and optics results.