Current and noise correlations in a double-dot Cooper-pair beam splitter

Chevallier, Denis; Rech, Jérôme; Jonckheere, Thibaut; Martin, Thierry

doi:10.1103/physrevb.83.125421

Cited by 77 publications

(83 citation statements)

References 48 publications

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“…Indeed, it had been predicted and measured that Cooper pairs, emanating from a superconductor, can split into two normal metallic leads in the so-called cross Andreev reflection process [4][5][6][7][8][9][10][11] . Such process can be conclusively verified by observing positive coincident arrival events, namely, positive cross-correlation of current fluctuations in two separated normal metallic leads that collect the split pairs [12][13][14][15][16][17][18] . The main difficulty in identifying such process is the overwhelming flux of Cooper pairs that enters the normal leads via direct Andreev reflection (the proximity effect).…”

mentioning

confidence: 92%

High-efficiency Cooper pair splitting demonstrated by two-particle conductance resonance and positive noise cross-correlation

et al. 2012

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Entanglement is at the heart of the Einstein-Podolsky-Rosen paradox, where the non-locality is a necessary ingredient. Cooper pairs in superconductors can be split adiabatically, thus forming entangled electrons. Here, we fabricate such an electron splitter by contacting an aluminium superconductor strip at the centre of a suspended InAs nanowire. The nanowire is terminated at both ends with two normal metallic drains. Dividing each half of the nanowire by a gate-induced Coulomb blockaded quantum dot strongly impeds the flow of Cooper pairs due to the large charging energy, while still permitting passage of single electrons. We provide conclusive evidence of extremely high efficiency Cooper pair splitting via observing positive two-particle correlations of the conductance and the shot noise of the split electrons in the two opposite drains of the nanowire. Moreover, the actual charge of the injected quasiparticles is verified by shot noise measurements.

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confidence: 92%

High-efficiency Cooper pair splitting demonstrated by two-particle conductance resonance and positive noise cross-correlation

et al. 2012

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“…1(a). The inserted QDs provide a controllable way to achieve deep insight into the interplay of the elementary transport processes in virtue of the high tunability of QDs [30,31]. In this setup we find that, under appropriate bias voltages and dot levels, the current cross-correlations expected to be positive (negative) in conventional BCS Cooper pair splitters are indeed negative (positive) in our device for weakly overlapped MBSs, but change signs towards strongly overlapped MBSs.…”

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confidence: 72%

Currents and current correlations in a topological superconducting nanowire beam splitter

Cao¹,

Fang²,

Chen³

et al. 2015

EPL

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-A beam splitter consisting of two normal leads coupled to one end of a topological superconducting nanowire via double quantum dot is investigated. In this geometry, the linear current cross-correlations at zero temperature change signs versus the overlap between the two Majorana bound states hosted by the nanowire. Under symmetric bias voltages the net current flowing through the nanowire is noiseless. These two features highlight the fermionic nature of such exotic Majorana excitations though they are based on the superconductivity. Moreover, there exists a unique local particle-hole symmetry inherited from the self-Hermitian property of Majorana bound states, which is apparently scarce in other systems. We show that such particular symmetry can be revealed through measuring the currents under complementary bias voltages.Introduction. -Over the last two decades, the hybrid multiterminal structures consisting of a BCS superconductor and two normal metal leads keep receiving extensive interest from both theoretical [1][2][3][4][5] and experimental [6][7][8] communities. The generic physics contained in this versatile platform is the interplay between coherence effect in the normal leads and intrinsic coherence of the superconducting condensate. One of the most appealing advantages of these structures is to act as a Cooper pair beam splitter [9,10], which splits constituent spin-entangled electrons from the superconductor into the separate normal leads. This enables them as entanglement generating sources in quantum-information processing [11,12]. It also allows for the study of electronic Einstein-Podolsky-Rosen experiment based on current cross-correlations [13,14]. In general, the subgap transport occurring in these hybrid structures with two normal leads includes following elementary processes [3,4]: an electron emitted from one of the leads is reflected back as a hole, or is transmitted as an electron or a hole into the other lead. The former one is the traditional local Andreev reflection (AR) occurred in one of the contacts between the normal leads and the superconductor, while the latter two, termed as elastic cotunneling (EC) and

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“…The system can be solved exactly in the non-interacting case. The onsite Coulomb-interaction can be approximately dealt with assuming that on-resonance the interaction only leads to a renormalization of the coupling as described above [44].…”

Section: Cooper Pair Splittersmentioning

confidence: 99%

Superconductor Hybrids-Electronic Paths to Quantum Computing

Soller¹

2017

JAMP

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We review several recent theoretical and experimental results in the study of superconductor hybrids. This includes the recent experimental advances in the study of superconducting beamsplitters as well as more advanced superconductor hybrid systems including ferromagnets or Majorana fermions. In the same manner, theoretical studies have revealed that such superconductor hybrid systems pave the way towards electronic generation and detection of entanglement as well as possible use cases in quantum computing. We will review the aspects in detail and illustrate the possible next steps to be taken.

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Current and noise correlations in a double-dot Cooper-pair beam splitter

Cited by 77 publications

References 48 publications

High-efficiency Cooper pair splitting demonstrated by two-particle conductance resonance and positive noise cross-correlation

High-efficiency Cooper pair splitting demonstrated by two-particle conductance resonance and positive noise cross-correlation

Currents and current correlations in a topological superconducting nanowire beam splitter

Superconductor Hybrids-Electronic Paths to Quantum Computing

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