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The Bethe-Ansatz local density approximation (LDA) to lattice densityfunctional theory (LDFT) for the one-dimensional repulsive Hubbard model isextended to current-LDFT (CLDFT). The transport properties of mesoscopicHubbard rings threaded by a magnetic flux are then systematically investigatedby this scheme. In particular we present calculations of ground state energies,persistent currents and Drude weights for both a repulsive homogeneous and asingle impurity Hubbard model. Our results for the ground state energies in themetallic phase compares favorably well with those obtained with numericallyaccurate many-body techniques. Also the dependence of the persistent currentson the Coulomb and the impurity interaction strength, and on the ring size areall well captured by LDA-CLDFT. Our study demonstrates that CLDFT is a powerfultool for studying one-dimensional correlated electron systems with highaccuracy and low computational costs.

Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory