Transfer-matrix summation of path integrals for transport through nanostructures

Abstract

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

14 pages, 10 figures, accepted by Phys. Rev. B

References in corpus (5)

• Iterative real-time path integral approach to nonequilibrium quantum transport
• Cooper Pair Splitting by means of Graphene Quantum Dots
• Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
• Non-universal transmission phase behaviour of a large quantum dot
• Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves