Transfer-matrix summation of path integrals for transport through nanostructures

On the basis of method iterative summation path integrals (ISPI), we develop a numerically exact transfer-matrix to describe nonequilibrium properties interacting quantum-dot systems. For this, map ISPI scheme approach, which is more accessible physical interpretation, allows for transparent formulation theory, and substantially improves efficiency. In particular, stationary limit directly implemented, without need extrapolation. The resulting method, referred as ``transfer-matrix integrals'' (TraSPI), then applied resonant electronic transport through single-level quantum dot.