  We introduce a new model for quasi one-dimensional materials, motivated by
intriguing but not yet well-understood experiments that have shown
two-dimensional polymer films to be promising materials for thermoelectric
devices. We consider a two-dimensional material consisting of many
one-dimensional systems, each treated as a Luttinger liquid, with weak
(incoherent) coupling between them. This approximation of strong interactions
within each one-dimensional chain and weak coupling between them is the
"quasi-atomic limit." We find integral expressions for the (interchain)
transport coefficients, including the electrical and thermal conductivities and
the thermopower, and we extract their power law dependencies on temperature.
Luttinger liquid physics is manifested in a violation of the Wiedemann-Franz
law; the Lorenz number is larger than the Fermi liquid value by a factor
between $\gamma^2$ and $\gamma^4$, where $\gamma\geq 1$ is a measure of the
electron-electron interaction strength in the system.
