Absence of split pairs in cross correlations of a highly transparent normal metal–superconductor–normal metal electron-beam splitter

Flöser, Martina; Feinberg, Denis; Mélin, R.

doi:10.1103/physrevb.88.094517

Cited by 31 publications

(42 citation statements)

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“…It is shown here that noise experiments in threeterminal Josephson junctions should provide complementary characterization of those phase-coherent processes, similarly to Cooper pair splitting in three-terminal normal metal-superconductor-normal metal set-ups [16][17][18][19][20][21][22][23][24][25][26][27] . A well-understood mechanism for noise in voltage-biased normal-fermionic junctions is partition noise.…”

Section: Introductionmentioning

confidence: 93%

Gate-tunable zero-frequency current cross correlations of the quartet state in a voltage-biased three-terminal Josephson junction

et al. 2016

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A three-terminal Josephson junction biased at opposite voltages can sustain a phase-sensitive dccurrent carrying three-body static phase coherence, known as the "quartet current". We calculate the zero-frequency current noise cross-correlations and answer the question of whether this current is noisy (like a normal current in response to a voltage drop) or noiseless (like an equilibrium supercurrent in response to a phase drop). A quantum dot with a level at energy 0 is connected to three superconductors Sa, S b and Sc with gap ∆, biased at Va = V , V b = −V and Vc = 0, and with intermediate contact transparencies. At zero temperature, nonlocal quartets (in the sense of four-fermion correlations) are noiseless at subgap voltage in the nonresonant dot regime 0/∆ 1, which is demonstrated with a semi-analytical perturbative expansion of the cross-correlations. Noise reveals the absence of granularity of the superflow splitting from Sc towards (Sa, S b ) in the nonresonant dot regime, in spite of finite voltage. In the resonant dot regime 0/∆ < ∼ 1, crosscorrelations measured in the (Va, V b ) plane should reveal an "anomaly" in the vicinity of the quartet line Va + V b = 0, related to an additional contribution to the noise, manifesting the phase sensitivity of cross-correlations under the appearance of a three-body phase variable. Phase-dependent effective Fano factors Fϕ are introduced, defined as the ratio between the amplitudes of phase modulations of the noise and the currents. At low bias, the Fano factors Fϕ are of order unity in the resonant dot regime 0/∆ < ∼ 1, and they are vanishingly small in the nonresonant dot regime 0/∆ 1.

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Section: Introductionmentioning

confidence: 93%

Gate-tunable zero-frequency current cross correlations of the quartet state in a voltage-biased three-terminal Josephson junction

et al. 2016

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“…On the other hand, we note that the NR and crossed AR are forbidden. These novel transport behaviors make this junction distinguished from the junction based on normal metal or graphene [33][34][35][36][37][38].…”

Section: Double Ars and Double Etsmentioning

confidence: 99%

“…Motivated by such a topic, in the present work we concentrate on the NSN junction arranged in the tilting direction of the type-II WSM and perform the discussion of the transport properties, with the help of the scattering matrix method. As is known, in a conventional NSN junction of normal metal, four transport processes coexist, i.e., NR, normal electron transmission (ET), AR, and crossed AR, as shown in figure 1(a) [33][34][35][36][37][38], where the crossed AR process refer to the incident electron enters into the SC accompanied by a hole in the other metal side. However, our study indicates that the NR and crossed AR are forbidden in the NSN junction based on the type-II WSM.…”

Section: Introductionmentioning

confidence: 99%

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Zhang

Sun

et al. 2018

New J. Phys.

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We study the quantum transport behavior of a normal-superconductor-normal junction based on a type-II Weyl semimetal, which is arranged in the tilting direction of the Weyl semimetal. We find that both the crossed Andreev reflection and normal reflection are forbidden, while there will be double Andreev reflections and double electron transmissions for the incident electron from the semimetal side. Andreev reflections and transmissions occur both in the retro and specular directions simultaneously, symmetric about the normal of the interface but with different amplitudes, depending on the angle and energy of incident electrons. These transport processes make the junction here quite different from that based on the normal metal or graphene. In addition, the differential conductance is studied for experimental signatures. We find that the conductance is almost unaffected by the electrostatic potential in the normal region and it is enhanced with increasing junction length.

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“…Differently from the situation for current, it is, in general, impossible to combine all the terms in current-noise power spectrum to module squares of GFs [4], as well as of scattering matrixes [5,39,40]. The current formula eq.…”

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confidence: 99%

“…-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.…”

mentioning

confidence: 99%

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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Absence of split pairs in cross correlations of a highly transparent normal metal–superconductor–normal metal electron-beam splitter

Cited by 31 publications

References 50 publications

Gate-tunable zero-frequency current cross correlations of the quartet state in a voltage-biased three-terminal Josephson junction

Gate-tunable zero-frequency current cross correlations of the quartet state in a voltage-biased three-terminal Josephson junction

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Currents and current correlations in a topological superconducting nanowire beam splitter

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