Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 32: Superconductivity: Yu-Shiba-Rusinov and Andreev Physics

TT 32.4: Talk

Wednesday, March 19, 2025, 15:45–16:00, H32

Yu-Shiba-Rusinov Spectroscopy of Triple Quantum Dot Molecules — •Vladislav Pokorný¹ and Martin Žonda² — ¹FZU - Institute of Physics, Czech Academy of Sciences, Na Slovance 2, 182 00 Prague, Czech Republic — ²Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 121 16 Prague, Czech Republic

We study a system of three quantum dots in triangular geometry with equal distances connected to a common superconducting lead and coupled via interdot Coulomb interaction. We provide complete ground state phase diagrams for the half-filled system in various regimes and study the behavior of the in-gap Yu-Shiba-Rusinov states. We use the superconducting impurity Anderson model to describe the system and solve it using a combination of effective methods based on the superconducting atomic limit and the continuous-time hybridization expansion quantum Monte Carlo. The results can provide deep insight into experiments involving trimers made of magnetic molecules on superconducting substrates.

Keywords: quantum dots; superconductivity; Yu-Shiba-Rusinov states; quantum Monte Carlo