Resonant Tunneling Probabilities for an N-Terminal Junction by the Flux Averaging Method

摘要

The flux averaging method for time-dependent calculations of resonant tunneling probabilities is generalized for the case of multichannel scattering by analyzing a generic model for resonant tunneling in a molecular junction with N terminals (N open scattering channels).The transmission probability between any two channels is expressed as a weighted average of time integrals over probability fluxes through different spatial contours.In the case of resonance scattering the transmission probability is shown to converge within a (short) direct-scattering timescale,circumventing the problem of slow convergence of each one of the time integrals due to population of a long-lived resonance state.