  We calculate the correlation functions and the DC conductivity of Luttinger
liquid superlattices, modeled by a repeated pattern of interacting and free
Luttinger liquids. In a specific realization, where the interacting subsystem
is a Hubbard chain, the system exhibits a rich phase diagram with four
different phases: two metals and two compressible insulators. In general, we
find that the effective low energy description amalgamates features of both
types of liquids in proportion to their spatial extent, suggesting the
interesting possibility of `engineered' Luttinger liquids.

Strongly Correlated Electrons