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TT: Fachverband Tiefe Temperaturen

TT 76: Superconductivity: Tunnelling and Josephson Junctions II

TT 76.9: Talk

Thursday, March 21, 2024, 17:15–17:30, H 3010

Fractional transconductance via nonadiabatic topological Cooper pair pumping — Hannes Weisbrich¹, •Raffael L. Klees², Oded Zilberberg¹, and Wolfgang Belzig¹ — ¹Universität Konstanz — ²Universität Augsburg

Many robust physical phenomena, such as the integer quantum Hall effect, rely on topological invariants arising from geometrical and topological properties of the underlying quantum states. Furthermore, the interplay of many-body correlations and topology leads to the more exotic fractional quantum Hall effect, in which anyons, particles with fractional statistics, lead to a fractional quantized conductance. While the topology of the integer effect can be realized as a quantized transconductance in superconducting multiterminal systems [1-2], a proposal for its fractional counterpart is still missing. In this talk, we present such a proposal based on an engineered chain of Josephson junctions that fills this research gap and demonstrates how to generate a fractional quantized transconductance [3]. We show that this transconductance occurs at robust plateaus as a result of nonadiabatic Landau-Zener transitions. Our proposal paves the way for future quantum simulations of correlated exotic many-body out-of-equilibrium states in Josephson junction systems.

[1] R.-P. Riwar et al., Nat. Commun. 7 (2016) 11167

[2] R. L. Klees et al., Phys. Rev. Lett. 124 (2020) 197002

[3] H. Weisbrich et al., Phys. Rev. Research 5 (2023) 043045

Keywords: Superconductivity; Topological Josephson Matter; Josephson Circuit; Chern Number; Fractional Transconductance