Spin-triplet supercurrent through inhomogeneous ferromagnetic trilayers

Alidoust, Mohammad; Linder, Jacob

doi:10.1103/physrevb.82.224504

Cited by 52 publications

(58 citation statements)

References 48 publications

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“…A maximal critical current is obtained when the interface layers have a thickness comparable to the ferromagnetic coherence length ξ F , and the magnetizations in successive layers are orthogonal. Moreover, Alidoust et al 8 replace the interface homogeneous F layers with the spiral ferromagnetic layers and domainwall ferromagnets. They find a synthesis of 0-π oscillations with superimposed rapid oscillations when varying the width of the interface layer.…”

Section: Introductionmentioning

confidence: 99%

Long-range triplet Josephson current modulated by the interface magnetization texture

Meng¹,

Xiaoshan²

2013

EPL

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We have investigated the Josephson coupling between two s-wave superconductors separated by the ferromagnetic trilayers with noncollinear magnetization. We find that the long-range triplet critical current will oscillate with the strength of the exchange field and the thickness of the interface layer, when the interface magnetizations are orthogonal to the central magnetization. This feature is induced by the spatial oscillations of the spin-triplet state |↑↓ +|↓↑ in the interface layer. Moreover, the critical current can exhibit a characteristic nonmonotonic behavior, when the misalignment angle between interface magnetization and central ferromagnet increases from 0 to π/2. This peculiar behavior will take place under the condition that the original state of the junction with the parallel magnetizations is the π state.

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Section: Introductionmentioning

confidence: 99%

Long-range triplet Josephson current modulated by the interface magnetization texture

Meng¹,

Xiaoshan²

2013

EPL

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“…Prior theoretical works have discussed proximity effects in misaligned homogeneous films 1,2,10,21-27 or rotating magnetizations 1,2,10,[28][29][30][31][32][33][34][35][36][37][38][39][40][41] in the clean or the diffusive limit. The results strongly depend on the choice of materials and the width of the layers.…”

Section: -20mentioning

confidence: 99%

Classification of magnetic inhomogeneities and0−πtransitions in superconducting-magnetic hybrid structures

2016

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We present a comparative study of pair correlations and currents through superconductingmagnetic hybrid systems with a particular emphasis on the tunable Bloch domain wall of an exchange spring. This study of the Gor'kov functions contrasts magnetic systems with domain walls that change at discrete points in the magnetic region with those that change continuously throughout. We present results for misaligned homogeneous magnetic multilayers, including spin valves, for discrete domain walls, as well as exchange springs and helical domain walls -such as Holmiumfor the continuous case. Introducing a rotating basis to disentangle the role of singlet and triplet correlations, we demonstrate that substantial amounts of (so-called short range) singlet correlations are generated throughout the magnetic system in a continuous domain wall via the cascade effect. We propose a classification of 0 − π transitions of the Josephson current into three types, according to the predominant pair correlations symmetries involved in the current. Properties of exchange springs for an experimental study of the proposed effects are discussed. The interplay between components of the Gor'kov function that are parallel and perpendicular to the local magnetization lead to a novel prediction about their role in a proximity system with a progressively twisting helix that is experimentally measurable.

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“…By increasing the Co layer thickness a slow decay of the critical current has been reported in agreement with theoretical calculations. 31 Nevertheless, the theoretical model presented in Ref. 31 does not explain the complex dependence of the critical supercurrent on the Ho thickness.…”

Section: 29mentioning

confidence: 99%

“…31 Nevertheless, the theoretical model presented in Ref. 31 does not explain the complex dependence of the critical supercurrent on the Ho thickness. The nonmonotonic behavior of I C (d CM ) has been obtained by Halász et al in Ref.…”

Section: 29mentioning

confidence: 99%

Tunneling conductance through the half-metal/conical magnet/superconductor junctions in the adiabatic and non-adiabatic regimes: Self-consistent calculations

Wójcik

Zegrodnik

Rzeszotarski

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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The tunneling conductance in the half-metal/conical magnet/superconductor (HM/CM/SC) is investigated by the use of the combined Blonder-Tinkham-Klapwijk (BTK) formalism and the Bogoliubov-de Gennes (BdG) equations. We show that the conductance calculated self-consistently differs significantly from the one calculated in the non-self-consistent framework. The use of the self-consistent procedure ensures that the charge conservation is satisfied. Due to the spin band separation in the HM, the conductance in the subgap region is mainly determined by the anomalous Andreev reflection the probability of which strongly depends on the spin transmission in the CM layer. We show that the spin of electron injected from the HM can be transmitted through the CM to the SC adiabatically or non-adiabatically depending on the period of the exchange field modulation. We find that the conductance in the subgap region oscillates as a function of the CM layer thickness wherein the oscillations transform from irregular, in the non-adiabatic regime, to regular in the adiabatic case. In the non-adiabatic regime the decrease of the exchange field amplitude in the CM leads to the emergence of the conductance peak for one particular CM thickness in agreement with experiment [J.W.A Robinson, J. D. S Witt and M. G. Blamire, Science 329, 5987]. For both transport regimes the conductance is analyzed over a broad range of parameters determining the spiral magnetization in the CM.

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Spin-triplet supercurrent through inhomogeneous ferromagnetic trilayers

Cited by 52 publications

References 48 publications

Long-range triplet Josephson current modulated by the interface magnetization texture

Long-range triplet Josephson current modulated by the interface magnetization texture

Classification of magnetic inhomogeneities and0−πtransitions in superconducting-magnetic hybrid structures

Tunneling conductance through the half-metal/conical magnet/superconductor junctions in the adiabatic and non-adiabatic regimes: Self-consistent calculations

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