Iterative real-time path integral approach to nonequilibrium quantum transport

Details Iterative real-time path integral approach to nonequilibrium quantum transport Iterative real-time path integral approach to nonequilibrium quantum transport

2008-02-22

arxiv.org/abs/0802.3374v2

Phys. Rev. B 77, 195316 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

18 pages, 13 figures, minor modifications, published version

Scientific paper

10.1103/PhysRevB.77.195316

We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the generating function of the nonequilibrium current. Self-energies due to the leads, being non-local in time, are fully taken into account within a finite memory time, thereby including non-Markovian effects, and numerical results are extrapolated both to vanishing (Trotter) time discretization and to infinite memory time. This extrapolation scheme converges except at very low temperatures, and the results are then numerically exact. The method is applied to nonequilibrium transport through an Anderson dot.

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