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通过短程拓扑超导体在量子点之间传输的非局域关联

Nonlocal correlations transmitted between quantum dots via short topological superconductor.

作者信息

Górski G, Wójcik K P, Barański J, Weymann I, Domański T

机构信息

Institute of Physics, College of Natural Sciences, University of Rzeszów, 35-310, Rzeszów, Poland.

Institute of Molecular Physics, Polish Academy of Sciences, 60-179, Poznań, Poland.

出版信息

Sci Rep. 2024 Jun 15;14(1):13848. doi: 10.1038/s41598-024-64578-4.

DOI:10.1038/s41598-024-64578-4
PMID:38879622
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11180147/
Abstract

We study the quasiparticle states and nonlocal correlations of a hybrid structure, comprising two quantum dots interconnected through a short-length topological superconducting nanowire hosting overlaping Majorana modes. We show that the hybridization between different components of this setup gives rise to the emergence of molecular states, which are responsible for nonlocal correlations. We inspect the resulting energy structure, focusing on the inter-dependence between the quasiparticles of individual quantum dots. We predict the existence of nonlocal effects, which could be accessed and probed by crossed Andreev reflection spectroscopy. Our study would be relevant to a recent experimental realization of the minimal Kitaev model [T. Dvir et al., Nature 614, 445 (2023) ], by considering its hybrid structure with side-attached quantum dots.

摘要

我们研究了一种混合结构的准粒子态和非局域关联,该混合结构由两个通过承载重叠马约拉纳模式的短长度拓扑超导纳米线互连的量子点组成。我们表明,该装置不同组件之间的杂化导致了分子态的出现,而分子态是产生非局域关联的原因。我们研究了由此产生的能量结构,重点关注各个量子点的准粒子之间的相互依赖性。我们预测了非局域效应的存在,这种效应可以通过交叉安德烈夫反射光谱法来探测。考虑到其与侧边附着量子点的混合结构,我们的研究与最近对最小基塔耶夫模型的实验实现 [T. Dvir 等人,《自然》614, 445 (2023)] 相关。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/208c101ca107/41598_2024_64578_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/639c44278f07/41598_2024_64578_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/dd2165f485e6/41598_2024_64578_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/237637957db4/41598_2024_64578_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/1521edb06085/41598_2024_64578_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/5712e3dd977b/41598_2024_64578_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/208c101ca107/41598_2024_64578_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/639c44278f07/41598_2024_64578_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/dd2165f485e6/41598_2024_64578_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/237637957db4/41598_2024_64578_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/1521edb06085/41598_2024_64578_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/5712e3dd977b/41598_2024_64578_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/267c/11180147/208c101ca107/41598_2024_64578_Fig8_HTML.jpg

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本文引用的文献

1
Realization of a minimal Kitaev chain in coupled quantum dots.在耦合量子点中实现最小 Kitaev 链。
Nature. 2023 Feb;614(7948):445-450. doi: 10.1038/s41586-022-05585-1. Epub 2023 Feb 15.
2
Competing Vortex Topologies in Iron-Based Superconductors.铁基超导体中的竞争涡旋拓扑结构。
Phys Rev Lett. 2022 Dec 30;129(27):277001. doi: 10.1103/PhysRevLett.129.277001.
3
Majorana zero modes in impurity-assisted vortex of LiFeAs superconductor.锂铁砷超导体杂质辅助涡旋中的马约拉纳零模
Nat Commun. 2021 Jul 6;12(1):4146. doi: 10.1038/s41467-021-24372-6.
4
Magnetic field effect on trivial and topological bound states of superconducting quantum dot.磁场对超导量子点平凡和拓扑束缚态的影响
J Phys Condens Matter. 2020 Aug 7;32(44). doi: 10.1088/1361-648X/aba38a.
5
Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor.铁基超导体中涡旋零模的近乎量子化电导平台。
Science. 2020 Jan 10;367(6474):189-192. doi: 10.1126/science.aax0274. Epub 2019 Dec 12.
6
Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover.马约拉纳模式在其单重态-双重态交叉附近泄漏到相关量子点中。
J Phys Condens Matter. 2020 Jan 9;32(2):025302. doi: 10.1088/1361-648X/ab46d9.
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Interplay between correlations and Majorana mode in proximitized quantum dot.近邻量子点中关联与马约拉纳模式之间的相互作用。
Sci Rep. 2018 Oct 24;8(1):15717. doi: 10.1038/s41598-018-33529-1.
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Evidence for Majorana bound states in an iron-based superconductor.铁基超导体中马约拉纳束缚态的证据。
Science. 2018 Oct 19;362(6412):333-335. doi: 10.1126/science.aao1797. Epub 2018 Aug 16.
9
Andreev molecules in semiconductor nanowire double quantum dots.半导体纳米线双量子点中的安德烈夫分子。
Nat Commun. 2017 Sep 19;8(1):585. doi: 10.1038/s41467-017-00665-7.
10
Spin-sensitive interference due to Majorana state on the interface between normal and superconducting leads.正常与超导引线界面上的马约拉纳态导致的自旋敏感干涉。
J Phys Condens Matter. 2017 Feb 22;29(7):075603. doi: 10.1088/1361-648X/aa5214. Epub 2016 Dec 30.