Thermoelectric power of p-doped single-wall carbon nanotubes and the role of phonon drag.

We measured thermoelectric power S of bulk single-wall carbon nanotube materials p doped with acids. In contrast to oxygen-exposed or degassed samples, S is very small at the lowest temperatures, increases superlinearly above a characteristic and sample-dependent T, and then levels off. We attribute this unusual behavior to 1D phonon drag, in which the depression of the Fermi energy cuts off electron-phonon scattering at temperatures below a characteristic T0. This idea is supported by a model calculation in which the low temperature behavior of phonon drag is specifically related to the one-dimensional character of the electronic spectrum.

Exact solution for the lattice gas model in one dimension.

A simple method to obtain a canonical partition function for a one-dimensional lattice gas model is presented. The simplification is based upon rewriting a sum over all possible configurations as a sum over all possible numbers of clusters in the system.