Nonlocal thermoelectricity in a Cooper-pair splitter

Hussein, Robert; Governale, Michele; Kohler, Sigmund; Belzig, Wolfgang; Giazotto, Francesco; Braggio, Alessandro

doi:10.1103/physrevb.99.075429

Cited by 60 publications

(40 citation statements)

References 94 publications

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“…A. Sadovskyy for helping with numerical analysis. Note added.-While preparing this paper, we became aware of two related works [61,62], in which the case of strong Coulomb interaction on the dots is considered.…”

Section: Acknowledgementsmentioning

confidence: 99%

Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling

et al. 2019

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In this paper, we demonstrate that the hybrid normal-superconducting-normal (NSN) structure has potential for a multifunctional thermal device which could serve for heat flux control and cooling of microstructures. By adopting the scattering matrix approach, we theoretically investigate thermal and electrical effects emerging in such structures due to the Cooper pair splitting (CPS) and elastic cotunneling phenomena. We show that a finite superconductor can, in principle, mediate heat flow between normal leads, and we further clarify special cases when this seems contradictory to the second law of thermodynamics. Among other things, we demonstrate that the CPS phenomenon can appear even in the simple case of a ballistic NSN structure.

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Section: Acknowledgementsmentioning

confidence: 99%

Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling

et al. 2019

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“…Cooper pairs from a superconductor (S) placed in the vicinity of a ferromagnet (F) may diffuse into the latter, thus modifying their electronic properties [1][2][3][4][5]. The engineering of this proximity effect in hybrid structures generated over the past few years considerable interest in thermoelectricity [6][7][8][9][10][11][12][13][14][15][16], spin caloric transport [17,18], and topological superconductivity [19][20][21][22][23][24]. Somewhat unexpected is that not only can ferromagnets [25][26][27][28] and antiferromagnetic insulators [29] cause spin imbalances into superconductors, but also normal metals [30] exploiting a superconductor itself may serve as a spin filter [31].…”

Section: Introductionmentioning

confidence: 99%

Phase-controlled spin and charge currents in a superconductor-ferromagnet hybrid

Rezaei

Hussein

Kamra

et al. 2020

Phys. Rev. Research

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We investigate spin-dependent quasiparticle and Cooper-pair transport through a central node interfaced with two superconductors and two ferromagnets. We demonstrate that voltage biasing of the ferromagnetic contacts induces superconducting triplet correlations on the node and reverses the supercurrent flowing between the two superconducting contacts. We further predict that such triplet correlations can mediate a tunable spin current flow into the ferromagnetic contacts. Our key finding is that noncollinearity in combination with spin-mixing results in equal-spin-triplet correlations on the node and leads to a net charge current between the unbiased two magnets. Our proposed device thus enables the generation, control, and detection of the typically elusive equal-spin-triplet Cooper pairs.

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“…Note added.-Upon the completion of this work, we became aware of related works by R. Hussein et al 55 , and by N. S. Kirsanov et al 56 .…”

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confidence: 96%

Cooling by Cooper pair splitting

2018

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The electrons forming a Cooper pair in a superconductor can be spatially separated preserving their spin entanglement by means of quantum dots coupled to both the superconductor and independent normal leads. We investigate the thermoelectric properties of such a Cooper pair splitter and demonstrate that cooling of a reservoir is an indication of non-local correlations induced by the entangled electron pairs. Moreover, we show that the device can be operated as a non-local thermoelectric heat engine. Both as a refrigerator and as a heat engine, the Cooper pair splitter reaches efficiencies close to the thermodynamic bounds. As such, our work introduces an experimentally accessible heat engine and a refrigerator driven by entangled electron pairs in which the role of quantum correlations can be tested.Introduction.-Hybrid nanostructures with superconducting or normal electrodes connected by quantum wires provide a unique playground to test the interplay between transport and electron correlations 1 . Among these types of devices, Cooper pair splitters have received special attention due to their potential use as a source of non-locally entangled electron pairs 2-4 . A typical device consists of a central superconducting lead coupled to two normal ones through quantum dots, a geometry which has been successfully implemented using semiconducting nanowires 5-8 , carbon nanotubes 9,10 or graphene 11 . In this setup the Coulomb repulsion in the quantum dots forces the incoming electron pairs from the superconductor to separate into different normal electrodes, while local Andreev processes in which the two electrons from the pair are transferred to the same normal lead are strongly suppressed 2 . The Cooper pair splitting (CPS) process can be viewed as the time reverse of a crossed Andreev reflection in which an incoming electron from a given normal lead is reflected as a hole in the opposite lead 12,13 . Positive correlation between the currents through the two normal contacts has been presented as a signature of the splitting process 5,9,10 .

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Nonlocal thermoelectricity in a Cooper-pair splitter

Cited by 60 publications

References 94 publications

Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling

Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling

Phase-controlled spin and charge currents in a superconductor-ferromagnet hybrid

Cooling by Cooper pair splitting

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