Multiple Andreev reflections in hybrid multiterminal junctions

Houzet, Manuel; Samuelsson, Peter

doi:10.1103/physrevb.82.060517

Cited by 26 publications

(41 citation statements)

References 26 publications

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“…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%

Topological transconductance quantization in a four-terminal Josephson junction

et al. 2017

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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

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Section: Discussionmentioning

confidence: 86%

Topological transconductance quantization in a four-terminal Josephson junction

et al. 2017

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“…Let us note that the quartet response bears some resemblance with MAR's [17], with two important differences. First, the total energy balance of the process is zero, and second, it does not lead to quasiparticle transport above the superconducting gap.…”

Section: Qualitative Descriptionmentioning

confidence: 99%

“…Another situation is met in mesoscopic three-terminal Josephson junctions in which a single normal conductor is connected to three superconducting contacts [16][17][18][19][20]. The transport properties then depend on two independent (phase or voltage) variables.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in addition to usual Josephson processes coupling two terminals, new mechanisms are expected that connect all three reservoirs. Several theoretical predictions have been made for such systems [16,17,[21][22][23]. Nonlocal MAR should show up in the so-called incoherent MAR regime where the dwell time exceeds the coherence time [17,24].…”

Section: Introductionmentioning

confidence: 99%

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Subgap structure in the conductance of a three-terminal Josephson junction

et al. 2014

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Three-terminal superconductor (S) -normal metal (N) -superconductor (S) Josephson junctions are investigated. In a geometry where a T-shape normal metal is connected to three superconducting reservoirs, new sub-gap structures appear in the differential resistance for specific combinations of the superconductor chemical potentials. Those correspond to a correlated motion of Cooper pairs within the device that persist well above the Thouless energy and is consistent with the prediction of quartets formed by two entangled Cooper pairs. A simplified nonequilibrium Keldysh Green's function calculation is presented that supports this interpretation.

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“…We show how the underlying degeneracy is lifted by interdot couplings, directly or through the central supetconductor. This understanding of the CPR should clarify the nature of the nonequilibrium transport, which offers new coherent dc channels in presence of applied voltages, provided the latter are commensurate [6,9,13], and also nonlocal multiple Andreev incoherent channels [7,8]. Subgap anomalies in a diffusive Al-Cu bijunction have indeed been recently observed and interpreted in terms of quartets (see Figure 8b) [14].…”

Section: S0mentioning

confidence: 67%

Quartets and the current-phase structure of a double quantum dot superconducting bijunction at equilibrium

et al. 2015

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The equilibrium current-phase structure of a tri-terminal superconducting Josephson junction (bijunction) is analyzed as a function of the two relevant phases. The bijunction is made of two noninteracting quantum dots, each one carrying a single level. Nonlocal processes coupling the three terminals are described in terms of quartet tunneling and pair cotunneling. These couplings are due to nonlocal Andreev and cotunneling processes through the central superconductor S0, as well as direct interdot coupling. In some cases, two degenerate midgap Andreev states appear, symmetric with respect to the (π, π) point. The lifting of this degeneracy by interdot couplings induces a strong non-local inductance at low enough temperatures. This effect is compared to the mutual inductance of a two-loop circuit.

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Multiple Andreev reflections in hybrid multiterminal junctions

Cited by 26 publications

References 26 publications

Topological transconductance quantization in a four-terminal Josephson junction

Topological transconductance quantization in a four-terminal Josephson junction

Subgap structure in the conductance of a three-terminal Josephson junction

Quartets and the current-phase structure of a double quantum dot superconducting bijunction at equilibrium

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