Fractional transconductance via nonadiabatic topological Cooper pair pumping

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Physical Review Research. American Physical Society (APS). 2023, 5(4), 043045. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.5.043045
Zusammenfassung

Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states. Prime examples are the integer and fractional quantum Hall effects that demonstrate quantized Hall conductances, associated with topology both in the single particle and the strongly correlated many-body limit. Interestingly, the topology of the integer effect can be realized in superconducting multiterminal systems, but a proposal for the more complex fractional counterpart is lacking. In this work, we theoretically demonstrate how to achieve fractional quantized transconductance in an engineered chain of Josephson junctions. Crucially, similar to the stabilization of the conductance plateaus in Hall systems by disorder, we obtain stable transconductance plateaus as a result of nonadiabatic Landau-Zener transitions. We furthermore show that the fractional plateaus are robust to disorder and study the optimal operation regime to observe these effects. Our proposal paves the way for quantum simulation of exotic many-body out-of-equilibrium states in Josephson junction systems.

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530 Physik
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Topological superconductors, Fractional quantum Hall effect, Quantum transport, Josephson junctions, Superconductors, Topological materials
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ISO 690WEISBRICH, Hannes, Raffael L. KLEES, Oded ZILBERBERG, Wolfgang BELZIG, 2023. Fractional transconductance via nonadiabatic topological Cooper pair pumping. In: Physical Review Research. American Physical Society (APS). 2023, 5(4), 043045. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.5.043045
BibTex
@article{Weisbrich2023-10-16Fract-68477,
  year={2023},
  doi={10.1103/PhysRevResearch.5.043045},
  title={Fractional transconductance via nonadiabatic topological Cooper pair pumping},
  number={4},
  volume={5},
  journal={Physical Review Research},
  author={Weisbrich, Hannes and Klees, Raffael L. and Zilberberg, Oded and Belzig, Wolfgang},
  note={Article Number: 043045}
}
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