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A procedure based on the recently developed ``adaptive'' time-dependentdensity-matrix-renormalization-group (DMRG) technique is presented to calculatethe zero temperature conductance of nanostructures, such as a quantum dots(QD's) or molecular conductors, when represented by a small number of activelevels. The leads are modeled using non-interacting tight-binding Hamiltonians.The ground state at time zero is calculated at zero bias. Then, a small bias isapplied between the two leads, the wave-function is DMRG evolved in time, andcurrents are measured as a function of time. Typically, the current is expectedto present periodicities over long times, involving intermediate well-definedplateaus that resemble steady states. The conductance can be obtained fromthose steady-state-like currents. To test this approach, several cases ofinteracting and non-interacting systems have been studied. Our results showexcellent agreement with exact results in the non-interacting case. Moreimportantly, the technique also reproduces quantitatively well-establishedresults for the conductance and local density-of-states in both the cases ofone and two coupled interacting QD's. The technique also works at finite biasvoltages, and it can be extended to include interactions in the leads.Comment: RevTex

Adaptive time-dependent density-matrix renormalization-group technique for calculating the conductance of strongly correlated nanostructures