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

Yiru Hao, Gu Zhang, Donghao Liu and Dong E. Liu ()
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Yiru Hao: State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University
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

Nature Communications, 2022, vol. 13, issue 1, 1-7

Abstract: 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.

Date: 2022
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DOI: 10.1038/s41467-022-34437-9

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