Giant triplet proximity effect in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>π</mml:mi></mml:math>-biased Josephson junctions with spin-orbit coupling

Jacobsen, Sol H.; Linder, Jacob

doi:10.1103/physrevb.92.024501

Cited by 39 publications

(41 citation statements)

References 52 publications

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“…Recently, similar types of results were discussed also in Refs. [42,43], but that work concentrated on superconductor/ferromagnet multilayers in the short junction limit, where the junction length is of the order of the superconducting coherence length…”

Section: Density Of Statesmentioning

confidence: 99%

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Intrinsic spin-orbit interaction in diffusive normal wire Josephson weak links: Supercurrent and density of states

Arjoranta

Heikkilä

2016

Phys. Rev. B

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We study the effect of the intrinsic (Rashba or Dresselhaus) spin-orbit interaction in superconductor-nanowiresuperconductor (SNS) weak links in the presence of a spin-splitting field that can result either from an intrinsic exchange field or the Zeeman effect of an applied field. We solve the full nonlinear Usadel equations numerically [The code used for calculating the results in this paper is available in https://github.com/wompo/Usadel-fornanowires] and analyze the resulting supercurrent through the weak link and the behavior of the density of states in the center of the wire. We point out how the presence of the spin-orbit interaction gives rise to a long-range spin triplet supercurrent, which remains finite even in the limit of very large exchange fields. In particular, we show how rotating the field leads to a sequence of transitions between the 0 and π states as a function of the angle between the exchange field and the spin-orbit field. Simultaneously, the triplet pairing leads to a zero-energy peak in the density of states. We proceed by solving the linearized Usadel equations, showing the correspondence to the solutions of the full equations and detail the emergence of the long-range supercurrent components. Our studies are relevant for ongoing investigations of supercurrent in semiconductor nanowires in the limit of several channels and in the presence of disorder.

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Section: Density Of Statesmentioning

confidence: 99%

“…As discussed in Refs. [42,50], the particular value for the zero-energy density of states results from the competition of the singlet proximity effect aiming to lower N(0) and the long-range triplet proximity effect to increase it. This results from the different symmetry of the singlet vs triplet components.…”

Section: Density Of Statesmentioning

confidence: 99%

Intrinsic spin-orbit interaction in diffusive normal wire Josephson weak links: Supercurrent and density of states

Arjoranta

Heikkilä

2016

Phys. Rev. B

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“…If the exchange field is spatially varying, or the system contains spin-orbit coupling, the triplet Cooper pairs may rotate between different triplet states where the electron spins are parallel, making tunable superconducting spin transport possible [2][3][4] . In light of this discovery, the effect of spin-orbit coupling on proximitized materials has recently been investigated in several works [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] . In this paper, we consider a spin-orbit coupled superconducting hybrid which is found to display novel, inherently two-dimensional, physical phenomena which are hidden in effective one-dimensional models.…”

Section: Introductionmentioning

confidence: 99%

Supercurrent vortex pinball via a triplet Cooper pair inverse Edelstein effect

Amundsen

Linder

2017

Phys. Rev. B

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We consider the Josephson effect through a thin spin-orbit coupled layer in the presence of an exchange field h, and discover a set of supercurrent vortices appearing in the system which can be controllably moved around in the system by varying either the direction of h, the strength |h|, the spin-orbit coupling magnitude α via a gate voltage, or the phase difference. We refer to this phenomenon as a supercurrent vortex pinball effect and show that its origin is the spin polarization of the triplet Cooper pairs induced in the system. The supercurrent vortices are shown to arise from what resembles a Cooper pair-induced inverse Edelstein effect.

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“…We have solved the above set of differential equations (the Usadel and Maxwell equations) numerically, utilizing the Ricatti-parametrization [22] for the quasiclassical Green functionĝ extended to include SOC [23,24].…”

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confidence: 99%

Anisotropic Paramagnetic Meissner Effect by Spin-Orbit Coupling

2016

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Conventional s-wave superconductors repel external magnetic flux. However, a recent experiment [A. Di Bernardo et al., Phys. Rev. X 5, 041021 (2015)] has tailored the electromagnetic response of superconducting correlations via adjacent magnetic materials. We consider another route to alter the Meissner effect where spinorbit interactions induce an anisotropic Meissner response that changes sign depending on the field orientation. The tunable electromagnetic response opens new paths in the utilization of hybrid systems comprised of magnets and superconductors.Introduction. The Meissner effect in superconductors is the expulsion of magnetic fields and it is one of its two defining properties, the other being the absence of electrical resistance. Experiments have shown [1] that a non-superconducting material can also exhibit a Meissner response when it is in proximity to a superconductor. Via the proximity effect, superconducting correlations leak into the neighbouring metal. Intuitively, one might expect stronger superconducting correlations to give rise to a stronger Meissner response of the normal metal. The modelling of such systems via quasiclassical theory largely confirms this picture [2], except the observation that the magnetic susceptibility has a puzzling re-entrant behavior as a function of temperature [3][4][5].When superconductors are placed in contact with ferromagnets, triplet Cooper pairs emerge that carry a net spin [6][7][8][9]. Such pairs are additionally characterized by an odd-frequency symmetry [10] which influences several physical properties, such as the electronic density of states and electromagnetic response. Very recently, an experiment [11] observed a paramagnetic Meissner effect in an Nb/Ho/Au structure. In this system, superconductivity enhanced the magnetic signal rather than expelling it. Such a finding is of a fundamental interest, since it questions the hallmark property of perfect diamagnetism in superconductors. From a practical point of view, a paramagnetic Meissner effect could lead to an integration of magnetic and superconducting materials in a way that has not been possible previously. Moreover, the recent demonstration of remotely induced magnetism via a superconductor reported in Ref. [12] suggests that the study of how superconductivity influences magnetic signals is particularly timely.Motivated by these experimental advances, we show in this Letter that by combining superconductors with spin-orbit coupled materials, the Meissner effect can be modulated by the orientation of an external magnetic field. Not only does the Meissner response of the system become anisotropic as a function of field orientation, but it can even change sign. This offers a way to control the electromagnetic response of a superconducting system in situ. In addition, we demonstrate that magnetic exchange fields h that are much smaller than the superconducting gap ∆ 0 , e.g. induced via the Zeeman-effect of an external field, can lead to a similar re-entrant behavior of the susceptibility as in ...

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Giant triplet proximity effect inπ-biased Josephson junctions with spin-orbit coupling

Cited by 39 publications

References 52 publications

Intrinsic spin-orbit interaction in diffusive normal wire Josephson weak links: Supercurrent and density of states

Intrinsic spin-orbit interaction in diffusive normal wire Josephson weak links: Supercurrent and density of states

Supercurrent vortex pinball via a triplet Cooper pair inverse Edelstein effect

Anisotropic Paramagnetic Meissner Effect by Spin-Orbit Coupling

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