Comparing tunneling spectroscopy and charge sensing of Andreev bound states in a semiconductor-superconductor hybrid nanowire structure

Sabonis, Deividas; van Zanten, David; Suter, Judith; Karzig, Torsten; Pikulin, Dmitry I.; Väyrynen, Jukka I.; O'Farrell, Eoin; Razmadze, Davydas; Krogstrup, Peter; Marcus, Charles M.

doi:10.48550/arxiv.2105.08871

Cited by 3 publications

(3 citation statements)

References 21 publications

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“…The rich physics of coherent dynamics resulting from the interplay of the two channels can help to confirm the MZMs beyond the zero-bias-peak of conductance. The present study is also expected to stimulate further study of Majorana island in the presence of finite E C , which has been commonly assumed in contexts such as Majorana qubit construction, manipulation, and measurement [9,[41][42][43][44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 83%

Cross correlation mediated by Majorana island with finite charging energy

Feng

Qin²,

Li³

2021

New J. Phys.

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Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.

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Section: Introductionmentioning

confidence: 83%

Cross correlation mediated by Majorana island with finite charging energy

Feng

Qin²,

Li³

2021

New J. Phys.

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show abstract

Section: Introductionmentioning

confidence: 83%

Cross-correlation mediated by Majorana island with finite charging energy

Feng,

Qin,

2021

Preprint

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Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit, which demonstrates well the nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.

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“…In addition, this non-local feature is directly associated with the topological protection of the potential Majorana-based quantum information processing. This fact has inspired multiple recent theoretical [33][34][35][36][37][38][39][40] proposals and experimental [41][42][43][44][45][46][47][48][49][50] efforts.…”

mentioning

confidence: 99%

Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island

Hao¹,

Z²,

Liu³

et al. 2022

Preprint

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We study the temperature dependence of Coulomb Blockade peak conductance based on a Majorana-hosted superconducting island. In the low-temperature regime, we discover a coherent double Fu-teleportation (FT) process, where any independent tunneling process always involves two coherent FTs; and we also find an anomalous universal scaling behavior, which shows a crossover from a [max(T, eV )] 6 to a [max(T, eV )] 3 conductance behavior as increasing energy scale. In the high-temperature regime, using the familiar rate equation method, we find that the conductance is proportional to the reciprocal of the temperature and shows a nonmonotonic temperature-dependence. Both the anomalous power-law behavior and non-monotonic temperaturedependence can be distinguished from the conductance peak in the traditional Coulomb block, and therefore, serve as a hallmark for the non-local transport in the topological superconducting island.

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Comparing tunneling spectroscopy and charge sensing of Andreev bound states in a semiconductor-superconductor hybrid nanowire structure

Cited by 3 publications

References 21 publications

Cross correlation mediated by Majorana island with finite charging energy

Cross correlation mediated by Majorana island with finite charging energy

Cross-correlation mediated by Majorana island with finite charging energy

Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island

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