  This paper studies DFT models for homogeneous 1D materials in the 3D space.
It follows our previous work about DFT models for homogeneous 2D materials in
3D. We show how to reduce the problem from a 3D energy functional to a 2D
energy functional. The kinetic energy is treated as in the 2D case by
diagonilizing admissible states, and writing the kinetic energy as the infimum
of a modified kinetic energy functional on reduced states. Besides, we treat
here the Hartree interaction term in 2D, and show how to properly define the
mean-field potential, through Riesz potential. We then show the well posdness
of the reduced model and present some numerical illustrations.
