Cross-correlations of coherent multiple Andreev reflections

Riwar, Roman-Pascal; Badiane, Driss M.; Houzet, Manuel; Meyer, Jacques; Nazarov, Yuli V.

doi:10.1016/j.physe.2015.10.031

Cited by 11 publications

(7 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At lower voltages, 0.1 /e V 2 /e, we observe a complex dependence of the direct conductances as well as the transconductances, with resonant features that are related with multiple Andreev reflections involving various leads [28][29][30][31][32][33].…”

Section: Discussionmentioning

confidence: 86%

“…At lower voltages, 0.1∆/e V 2∆/e, we observe a complex dependence of the direct conductances as well as the transconductances, with resonant features that are related with multiple Andreev reflections involving various leads. [28][29][30][31][32][33] At even lower voltages, V 0.1∆/e, the interplay between Landau-Zener transitions and inelastic relaxation becomes important. If Γ is larger than the Landau-Zener transition rate between the states with energy −E 1 and E 1 , it restores the equilibrium occupations, where the state with energy −E 1 is occupied and the state with E 1 is empty, throughout most of the time evolution.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Topological transconductance quantization in a four-terminal Josephson junction

et al. 2017

Self Cite

View full text Add to dashboard Cite

Recently we predicted that the Andreev bound-state spectrum of four-terminal Josephson junctions may possess topologically protected zero-energy Weyl singularities, which manifest themselves in a quantized transconductance in units of 4e2 /h when two of the terminals are voltage biased [R.-P. Riwar, M. Houzet, J. S. Meyer, and Y. V. Nazarov, Nature Commun. 7, 11167 (2016)]. Here, using the Landauer-Büttiker scattering theory, we compute numerically the currents flowing through such a structure in order to assess the conditions for observing this effect. We show that the voltage below which the transconductance becomes quantized is determined by the interplay of nonadiabatic transitions between Andreev bound states and inelastic relaxation processes. We demonstrate that the topological quantization of the transconductance can be observed at voltages of the order of 10

show abstract

Section: Discussionmentioning

confidence: 86%

Section: Discussionmentioning

confidence: 99%

Topological transconductance quantization in a four-terminal Josephson junction

et al. 2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…The phase-sensitive thermal noise and noise cross-correlations of a superconducting structure at equi-librium was calculated by Freyn et al 8 with the Hamiltonian approach. Very recently, Riwar et al 29 provided a fully nonperturbative calculation of the noise of a threeterminal Josephson junction biased at equal voltages. In what follows, the junction is biased at opposite voltages, therefore allowing for the emergence of a nonstandard quartet mode, not present for equal voltages.…”

Section: Quantum Dot-superconductor Three-terminal Josephson Junctionmentioning

confidence: 99%

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

et al. 2016

View full text Add to dashboard Cite

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.

show abstract

“…Consequently, the presence of zero-energy states (now MKPs) when φ = π plays an important role in forming the SGS. It is also interesting to compare our results with previous works on phasetuned MAR in multi-terminal superconductors [57][58][59][60]. In a conventional 3-terminal s-wave superconducting interferometer, the phase difference changes the visibility, instead of the shape of the SGS.…”

Section: Multiple Andreev Reflections In S/i/s Junctionsmentioning

confidence: 57%