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实现在量子点超导线性阵列中稳健的实用 Majorana 链。

Realizing a robust practical Majorana chain in a quantum-dot-superconductor linear array.

机构信息

Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

出版信息

Nat Commun. 2012 Jul 17;3:964. doi: 10.1038/ncomms1966.

DOI:10.1038/ncomms1966
PMID:22805571
Abstract

Semiconducting nanowires in proximity to superconductors are promising experimental systems for realizing the elusive Majorana fermions, which, because of their non-abelian anyonic braiding statistics, may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental realization of the Majorana fermions is the suppression of topological superconductivity by disorder together with the tunability of carrier density for semiconductors in close proximity to superconductors. Here we show that Majorana fermions that are protected by a disorder robust topological gap can occur at the ends of a chain of gate-tunable quantum dots connected by s-wave superconductors. Such an array of quantum dots provides the simplest realization of Majorana fermions in systems as simple as a few quantum dot array. The proposed system provides a very practical and easily realizable experimental platform for the observation of non-abelian Majorana modes.

摘要

半导体纳米线与超导体接近是实现难以捉摸的马约拉纳费米子的有前途的实验系统,由于其非阿贝尔任意子编织统计,最终可能被用作拓扑量子计算机的构建块。在马约拉纳费米子的实验实现中,一个严重的挑战是通过无序来抑制拓扑超导,同时还要调节与超导体接近的半导体的载流子密度。在这里,我们表明,由无序鲁棒拓扑间隙保护的马约拉纳费米子可以出现在由 s 波超导体连接的门可调量子点链的末端。这种量子点阵列提供了最简单的马约拉纳费米子在像几个量子点阵列这样简单的系统中的实现。所提出的系统为观察非阿贝尔马约拉纳模式提供了一个非常实用且易于实现的实验平台。

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Enhanced Majorana stability in a three-site Kitaev chain.三格点Kitaev链中增强的马约拉纳稳定性
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Critical Lengths of Kitaev Chains for Majorana Zero Modes with a Microsecond Coherence Time and a Quantized Conductance Signature.具有微秒级相干时间和量子化电导特征的马约拉纳零模的基泰耶夫链的临界长度。

本文引用的文献

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Avoidance of Majorana resonances in periodic topological superconductor-nanowire structures.避免周期性拓扑超导体-纳米线结构中的马约拉纳共振。
Phys Rev Lett. 2012 Feb 10;108(6):067001. doi: 10.1103/PhysRevLett.108.067001. Epub 2012 Feb 8.
2
Probability distribution of Majorana end-state energies in disordered wires.无序线中马约拉纳末端态能量的概率分布。
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Field tuning the g factor in InAs nanowire double quantum dots.在 InAs 纳米线双量子点中现场调谐 g 因子。
Materials (Basel). 2024 Dec 2;17(23):5898. doi: 10.3390/ma17235898.
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Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states.利用汤川-芝-拉西诺夫态实现的稳健的简易马约拉纳零模
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Heat Dissipation Mechanisms in Hybrid Superconductor-Semiconductor Devices Revealed by Joule Spectroscopy.焦耳光谱揭示混合超导-半导体器件中的散热机制
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Majorana Excitons in a Kitaev Chain of Semiconductor Quantum Dots in a Nanowire.纳米线中半导体量子点的 Kitaev 链中的马约拉纳激子
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Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas.二维电子气中实现的库珀对分裂器中的三重态关联
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Sci Rep. 2022 Nov 18;12(1):19882. doi: 10.1038/s41598-022-24341-z.
Phys Rev Lett. 2011 Oct 21;107(17):176811. doi: 10.1103/PhysRevLett.107.176811. Epub 2011 Oct 19.
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Phys Rev Lett. 2011 Mar 25;106(12):127001. doi: 10.1103/PhysRevLett.106.127001. Epub 2011 Mar 21.
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Search for Majorana fermions nearing success at last?寻找马约拉纳费米子终于快要成功了吗?
Science. 2011 Apr 8;332(6026):193-5. doi: 10.1126/science.332.6026.193.
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Quantized conductance at the Majorana phase transition in a disordered superconducting wire.在无序超导线中马约拉纳相位相变处的量子电导。
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Helical liquids and Majorana bound states in quantum wires.螺旋液体和量子线中的马约拉纳束缚态。
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Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.半导体-超导异质结构中的马约拉纳费米子和拓扑相变。
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