Low-dimensional thermoelectric power of high-temperature superconductors in the fluctuation regime

We calculate the Aslamazov-Larkin direct contribution to the thermoelectric power of high-critical-temperature superconductors in one (1D) and two (2D) dimensions, using a kinetic formalism. This extends the results of Howson et al. limited to 3D (and that of Maki and of Varlamov and Livanov). The singular fluctuation contribution vanishes in 2D though it was expected to behave like ${\mathrm{\varepsilon }}^{\mathrm{-}1}$ where ɛ=(T-${\mathit{T}}_{\mathit{c}}$)/${\mathit{T}}_{\mathit{c}}$. In 1D the superconductivity fluctuation contribution diverges like (-e${\mathrm{\varepsilon }}^{\mathrm{-}3/2}$).