title: Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory.
abstract: 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 and Drude weights for both a repulsive homogeneous and a single impurity Hubbard model. Our results for the ground state energies in the metallic phase compare favorably well with those obtained with numerically accurate many-body techniques. Also the dependence of the persistent currents on the Coulomb and the impurity interaction strength, and on the ring size are all well captured by LDA-CLDFT. Our study demonstrates the value of CLDFT in describing the transport properties of one-dimensional correlated electron systems. As its computational overheads are rather modest, we propose this method as a tool for studying problems where both disorder and interaction are present.
authors.affiliation: School of Physics and CRANN, Trinity College, Dublin 2, Ireland. akandea@tcd.ie
authors.forename: A
authors.initials: A
authors.lastname: Akande
authors.forename: S
authors.initials: S
authors.lastname: Sanvito
mesh_terms: D000465:Algorithms; D002627:Chemistry, Physical / Q000379:methods*; D004583:Electrons; D008027:Light; D015233:Models, Statistical; D008962:Models, Theoretical; D036103:Nanotechnology / Q000379:methods; D045663:Quantum Dots; D012542:Scattering, Radiation; D055672:Static Electricity; D013816:Thermodynamics