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TT: Fachverband Tiefe Temperaturen
TT 20: Superconductivity: Tunnelling and Josephson Junctions
TT 20.12: Talk
Tuesday, March 28, 2023, 12:30–12:45, HSZ 103
Low-energy model for superconducting quantum dot systems — •Vladislav Pokorný1 and Martin Žonda2 — 1FZU - Institute of Physics, Czech Academy of Sciences, Na Slovance 2, 182 21 Prague, Czech Republic — 2Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 121 16 Prague, Czech Republic
We present a method to extract the Andreev bound state energies of a single-level quantum dot connected to superconducting leads from the imaginary-time results of quantum Monte-Carlo method without the use of analytic continuation techniques like maximum entropy method. We describe the system using the superconducting impurity Anderson model and show that for low energies it maps on an atomic-like model. The parameters of this model can be extracted from the self-energy calculated in imaginary-frequency domain using the hybridization-expansion quantum Monte Carlo method. We compare the results to zero-temperature numerical renormalization group data to show the limits of usability of the low-energy model.