We extend the method discovered by A Y Alekseev et al [1] to the case of fermions in external fields. A general formula for conductance G is proved. In the (1+1)-D case with symmetry at time reflection, it is shown that: G = e2/h +o ( α2 ) , where α is the strength of the external field. In (3+1)-D free case, it is checked that G = ne2/h, where n is the number of the filled energetic bands of t...

The Bethe ansatz local density approximation (LDA) to lattice density functional theory (LDFT) for the one-dimensional repulsive Hubbard model is extended to current-LDFT (CLDFT). The transport properties of mesoscopic Hubbard rings threaded by a magnetic flux are then systematically investigated by this scheme. In particular we present calculations of ground state energies, persistent currents...