Scattering-matrix approach to the theory of Josephson transport in mesoscopic multiterminal nodes

Savinov, D. A.

doi:10.1016/j.physc.2014.12.002

Cited by 6 publications

(6 citation statements)

References 44 publications

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“…[19,31]. Indeed, in this particular case Shapiro-like steps appear at discrete voltages V = 185 0, ±U/2, ±3U/2.…”

Section: Shapiro-like Steps At Combination Frequenciesmentioning

confidence: 99%

“…Therefore, we can consider that all of the superconducting arms have the same superconducting energy gap ∆ 0 and approximate 80 ∆ = ∆ 0 exp (iφ l ) in the l-th superconducting terminal S l and ∆ = 0 in the normal region N l , where l = 1, 2, 3 (see Ref. [31] and references therein). Let us study the peculiarities of dc steps in the probe superconducting electrode (let it be the first one, namely S 1 ).…”

Section: Shapiro-like Steps 75mentioning

confidence: 99%

“…Therefore, we can approximately consider the Fermi function for the description of the supercurrent in different arms of Josephson triode and use the CPR derived within the Bogolubov-de Gennes 105 theory in Ref. [31]. Considering small junction transparencies, the supercurrent in the probe superconducting electrode can be presented as:…”

Section: Shapiro-like Steps 75mentioning

confidence: 99%

“…The amplitudes of corresponding harmonics are determined by the coefficients of a scattering matrix in the normal region (see [31] 110 for details):…”

Section: Shapiro-like Steps 75mentioning

confidence: 99%

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Enhancement of Shapiro-like steps in multiterminal Josephson structures

Savinov

2016

Physica C: Superconductivity and its Applications

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“…[19,31]. Indeed, in this particular case Shapiro-like steps appear at discrete voltages V = 185 0, ±U/2, ±3U/2.…”

Section: Shapiro-like Steps At Combination Frequenciesmentioning

confidence: 99%

Section: Shapiro-like Steps 75mentioning

confidence: 99%

Section: Shapiro-like Steps 75mentioning

confidence: 99%

“…The amplitudes of corresponding harmonics are determined by the coefficients of a scattering matrix in the normal region (see [31] 110 for details):…”

Section: Shapiro-like Steps 75mentioning

confidence: 99%

See 2 more Smart Citations

Enhancement of Shapiro-like steps in multiterminal Josephson structures

Savinov

2016

Physica C: Superconductivity and its Applications

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“…Furthermore, a junction of two superconducting wires of s-and p-wave symmetries is known to generate a magnetic moment at the interface whose time variation can be controlled by an external applied voltage 3,5 . Multiple junctions with s-wave superconductors have been studied using a scattering matrix formalism [6][7][8][9] , and voltage-induced Shapiro steps have been studied in a junction of three s-wave superconductors 10 . However, no such studies have been carried out for multi-terminal junctions involving unconventional superconductors.…”

Section: Introductionmentioning

confidence: 99%

Josephson junctions of multiple superconducting wires

2018

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We study the spectrum of Andreev bound states and Josephson currents across a junction of N superconducting wires which may have s-or p-wave pairing symmetries and develop a scattering matrix based formalism which allows us to address transport across such junctions. For N ≥ 3, it is well known that Berry curvature terms contribute to the Josephson currents; we chart out situations where such terms can have relatively large effects. For a system of three s-or three p-wave superconductors, we provide analytic expressions for the Andreev bound state energies and study the Josephson currents in response to a constant voltage applied across one of the wires; we find that the integrated transconductance at zero temperature is quantized to integer multiples of 4e 2 /h, where e is the electron charge and h = 2π is Planck's constant. For a sinusoidal current with frequency ω applied across one of the wires in the junction, we find that Shapiro plateaus appear in the time-averaged voltage V1 across that wire for any rational fractional multiple (in contrast to only integer multiples in junctions of two wires) of 2e V1 /( ω). We also use our formalism to study junctions of two p-and one s-wave wires. We find that the corresponding Andreev bound state energies depend on the spin of the Bogoliubov quasiparticles; this produces a net magnetic moment in such junctions. The time variation of these magnetic moments may be controlled by an external voltage applied across the junction. We discuss experiments which may test our theory.

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Cross-correlations of coherent multiple Andreev reflections

Riwar

Badiane

Houzet

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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We use the Landauer-Büttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is due to coherent multiple Andreev reflections, we find large cross-correlations compared with their normal-state value. Furthermore, depending on the parameters that characterize the properties of the scattering region between the leads, the cross-correlations can reverse their sign with respect to the case of non-interacting fermionic systems. Contribution for the special issue of Physica E in memory of Markus Büttiker.

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Scattering-matrix approach to the theory of Josephson transport in mesoscopic multiterminal nodes

Cited by 6 publications

References 44 publications

Enhancement of Shapiro-like steps in multiterminal Josephson structures

Enhancement of Shapiro-like steps in multiterminal Josephson structures

Josephson junctions of multiple superconducting wires

Cross-correlations of coherent multiple Andreev reflections

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