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

Yiru Hao, Gu Zhang, Donghao Liu, Dong E. Liu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 power-law to a [max(T, eV)] 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.

Original languageEnglish
Article number6699
JournalNature Communications
Volume13
Issue number1
DOIs
StatePublished - 5 Nov 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).

Funding

The authors thank Zhan Cao, Xin Liu, and Hao Zhang for helpful discussions. We also thank Chung-Ting Ke for helpful discussion on the precision of experimental measurement. The work is supported by the Natural Science Foundation of China (Grants No. 11974198) and Tsinghua University Initiative Scientific Research Program.

FundersFunder number
National Natural Science Foundation of China11974198
Tsinghua University

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