Enhancement of Shapiro-like steps in multiterminal Josephson structures

Savinov, D. A.

doi:10.1016/j.physc.2016.06.010

Physica C: Superconductivity and its Applications

2016

DOI: 10.1016/j.physc.2016.06.010

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Enhancement of Shapiro-like steps in multiterminal Josephson structures

D. A. Savinov

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2018

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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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Josephson junctions of multiple superconducting wires

2018

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Enhancement of Shapiro-like steps in multiterminal Josephson structures

Cited by 1 publication

References 35 publications

Josephson junctions of multiple superconducting wires

Josephson junctions of multiple superconducting wires

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