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Anomalous universal conductance as a hallmark of non-locality in a Majorana-hosted superconducting island

Author

Listed:
  • Yiru Hao

    (State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University
    Frontier Science Center for Quantum Information)

  • Gu Zhang

    (Beijing Academy of Quantum Information Sciences)

  • Donghao Liu

    (State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University)

  • Dong E. Liu

    (State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University
    Frontier Science Center for Quantum Information
    Beijing Academy of Quantum Information Sciences)

Abstract

The non-local feature of topological states of matter is the key for the topological protection of quantum information and enables robust non-local manipulation in quantum information. Here we propose to manifest the non-local feature of a Majorana-hosted superconducting island by measuring the temperature dependence of Coulomb blockade peak conductance in different regimes. In the low-temperature regime, we discover a coherent double Majorana-assisted teleportation (MT) process, where any independent tunneling process always involves two coherent non-local MTs; and we also find an anomalous universal scaling behavior, i.e., a crossover from a $${[\max (T,eV)]}^{6}$$ [ max ( T , e V ) ] 6 power-law to a $${[\max (T,eV)]}^{3}$$ [ max ( T , e V ) ] 3 power-law conductance behavior when energy scale increases — in stark contrast to the usual exponential suppression due to certain local transport. In the high-temperature regime, the conductance is instead proportional to the temperature inverse, indicating a non-monotonic temperature-dependence of the conductance. Both the anomalous power law and non-monotonic temperature-dependence of the conductance can be distinguished from the conductance peak in the traditional Coulomb block, and therefore, together serve as a hallmark for the non-local feature in the Majorana-hosted superconducting island.

Suggested Citation

  • Yiru Hao & Gu Zhang & Donghao Liu & Dong E. Liu, 2022. "Anomalous universal conductance as a hallmark of non-locality in a Majorana-hosted superconducting island," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34437-9
    DOI: 10.1038/s41467-022-34437-9
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    References listed on IDEAS

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