Dresden 2026 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 20: Poster I

HL 20.43: Poster

Tuesday, March 10, 2026, 18:00–20:00, P1

Aharonov-Bohm interferometry with interacting quantum dots — •Oliver Oing, Alexander Hahn, Jürgen König, and Fred Hucht — Theoretische Physik, Universität Duisburg-Essen

We describe an Aharonov-Bohm interferometer consisting of two leads and two tunnel-coupled quantum dots with on-site Coulomb interaction using first order perturbation theory in the tunnelling strength. In earlier work, a diagrammatic approach was chosen. The complexity of the diagrams for arbitrary parameters limited the calculations to symmetric systems in energies and couplings. By developing a systematic routine in Mathematica to generate all possible diagrams, we can explore a wider range of system configurations. Eleven system parameters can be arbitrarily tuned, namely the finite Coulomb interactions, the quantum dot level energies as well as the tunneling strengths, magnetic flux, bias voltage and temperature, enabling us to describe both symmetric and asymmetric systems. A finite bias voltage makes it possible to explore the non-linear response regime. The routine calculates density matrix elements and uses these to obtain the occupations of the quantum dots, the current and the conductance through the system. With this, we compare to analytic results and numerically exact results obtained with the TraSPI method [1].

[1] S. Mundinar, A. Hahn, J. König, A. Hucht, Phys. Rev. B 106, 165427 (2022)

Keywords: Quantum dots; Aharonov-Bohm interferometry; Mathematica