Cross correlation mediated by distant Majorana zero modes with no overlap

doi:10.1088/1674-1056/ac1572

Abstract Existing studies via shot noise calculation conclude that the cross correlation between the currents in the two leads connected by a pair of Majorana zero modes (MZMs) vanishes when their coupling energy $∊_{\rm M}\to 0$. Motivated by the intrinsic nature of nonlocality of the MZMs, we revisit this important problem and propose an experimental scheme to demonstrate the nonvanishing cross correlation even at the limit $∊^{}_{\rm M}\to 0$. The proposed scheme employs the Andreev-process-associated branch circuit currents, which are theoretically obtained by applying a decomposition analysis for the total currents while are accessible directly in practical measurement. For different bias voltage setup, we find intriguing results of both negative and positive correlations and carry out simple physical understanding using a quantum jump technique. Importantly, combining together with the evidence of the zero-bias-peak of conductance, the nonlocal cross correlation predicted in this work can help to confirm the existence of the nonlocal MZMs.

Keywords: Majorana zero modes cross correlation Andreev currents

Received: 04 June 2021
Revised: 12 July 2021
Accepted manuscript online: 18 July 2021

PACS:	74.50.+r	(Tunneling phenomena; Josephson effects)
	74.45.+c	(Proximity effects; Andreev reflection; SN and SNS junctions)
	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

Fund: This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFA0303304) and the National Natural Science Foundation of China (Grant Nos. 11675016, 11974011, and 61905174).

Corresponding Authors: Xin-Qi Li
E-mail: xinqi.li@tju.edu.cn

Cite this article:

Lupei Qin(秦陆培), Wei Feng(冯伟), and Xin-Qi Li(李新奇) Cross correlation mediated by distant Majorana zero modes with no overlap 2022 Chin. Phys. B 31 017402

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