Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.35: Poster

Mittwoch, 7. September 2022, 15:00–18:00, P1

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

We develop a transfer-matrix style approach based on the numerical iterative summation of path integrals (ISPI) scheme [1,2] to solve non-equilibrium quantum transport. The usage of a transfer-matrix approach combined with further simplifications allows for the development of a method able to work in the stationary limit (TraSPI). Additionally, using the numerical properties of the transfer-matrix element calculation and Gray code, one can use the Woodbury formula to move inside the configuration space. Afterwards, the method is applied to a single-electron transistor with a single-level quantum dot as a central island.

[1] S. Mundinar et al., Phys. Rev. B 99, 195457 (2019)

[2] S. Mundinar et al., Phys. Rev. B 102, 045404 (2020)