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In a previous paper [J.-M. Bischoff and E. Jeckelmann, Phys. Rev. B 96,195111 (2017)] we introduced a density-matrix renormalization group method forcalculating the linear conductance of one-dimensional correlated quantumsystems and demonstrated it on homogeneous spinless fermion chains withimpurities. Here we present extensions of this method to inhomogeneous systems,models with phonons, and the spin conductance of electronic models. The methodis applied to a spinless fermion wire-lead model, the homogeneous spinlessHolstein model, and the Hubbard model. Its capabilities are demonstrated bycomparison with the predictions of Luttinger liquid theory combined with BetheAnsatz solutions and other numerical methods. We find a complex behavior forquantum wires coupled to interacting leads when the sign of the interaction(repulsive/attractive) differs in wire and leads. The renormalization of theconductance given by the Luttinger parameter in purely fermionic systems isshown to remain valid in the Luttinger liquid phase of the Holstein model withphononic degrees of freedom.

Density-matrix renormalization group study of the linear conductance in quantum wires coupled to interacting leads or phonons