SKM 2023 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Nonequilibrium Quantum Many-Body Systems II (joint session TT/DY)

DY 30.11: Talk

Wednesday, March 29, 2023, 17:45–18:00, HSZ 204

Transfer-matrix summation of path integrals for transport through nanostructures — Simon Mundinar, •Alexander Hahn, Jürgen König, and Alfred Hucht — Theoretische Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg, Germany

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 [1], 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 [2].
[1] S. Mundinar, P. Stegmann, J. König, and S. Weiss, Phys. Rev. B 99, 195457 (2019)
[2] S. Mundinar, A. Hahn, J. König, and A. Hucht, Phys. Rev. B 106, 165427 (2022)