Asymptotic splitting of boundary value problems for abstract differential equations

Édel'shtein, S. L.

doi:10.1007/bf02104725

Cited by 10 publications

(11 citation statements)

References 2 publications

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“…The spin-charge conversion studied here occurs only under non-equilibrium conditions (∇µ (s) = 0 or ∇T (s) = 0) and does not require spin-orbit interaction. Therefore it is qualitatively different from the direct [10][11][12] and inverse [13][14][15][16] equilibrium magnetoelectric effects proposed for noncentrosymmetric superconductors, Josephson junctions [17][18][19] and superconducting hybrid systems 20 with spin-orbit coupling. Experimental verification of these spin-orbit induced effects is limited to the recent observations of the anomalous Josephson effect through a quantum dot 21 and Bi 2 Se 3 interlayer 22,23 .…”

Section: Introductioncontrasting

confidence: 75%

“…This makes a qualitative distinction with previously discussed direct and inverse Edelstein effects which rely on the spinorbit interaction. [10][11][12][13][14][15][16] In the absence of spin relaxation, f T 3 ∝ x is also a long-range mode similar to the longitudinal one which in the absence of inelastic scattering is long-ranged, see Eqs. (14,15).…”

Section: Spin-charge Conversion In a Non-local Spin Valvementioning

confidence: 99%

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Supercurrent-induced charge-spin conversion in spin-split superconductors

2018

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We study spin-polarized quasiparticle transport in a mesoscopic superconductor with a spinsplitting field in the presence of co-flowing supercurrent. In such a system, the nonequilibrium state is characterized by charge, spin, energy and spin energy modes. Here we show that in the presence of both spin splitting and supercurrent, all these modes are mutually coupled. As a result, the supercurrent can convert charge imbalance, that in the presence of spin splitting decays on a relatively short scale, to a long-range spin accumulation decaying only via inelastic scattering. This effect enables coherent charge-spin conversion controllable by a magnetic flux, and it can be detected by studying different symmetry components of the nonlocal conductance signal. arXiv:1712.08653v3 [cond-mat.supr-con]

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Section: Introductioncontrasting

confidence: 75%

Section: Spin-charge Conversion In a Non-local Spin Valvementioning

confidence: 99%

Supercurrent-induced charge-spin conversion in spin-split superconductors

2018

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“…It is known that the presence of Rashba SOC generically leads to a mixed singlet-triplet superconducting order parameter [38][39][40][41] , which has not been accounted for in previous studies 31,33,34 .…”

Section: Introductionmentioning

confidence: 88%

Anisotropic purity of entangled photons from Cooper pairs in heterostructures

Gordon¹

2018

Phys. Rev. B

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It was theoretically proposed that a forward-biased p-n junction with a superconducting layer (P-N-S) would produce pure, polarization-entangled photons due to inherent spin-singlet pairing of electrons. However, any heterostructure interface generically induces Rashba spin-orbit coupling, which in turn generates a mixed singlet-triplet superconducting order parameter. Here we study the effect of triplet pairing on the purity of photons produced through Cooper pair recombination. A unique directional dependence of the state purity is found for a triplet superconductor with fixed d: pure, entangled photons are produced when the photon polarization axis is parallel to d. Induced triplet pairing in a singlet superconductor is shown to degrade the state purity, while induced singlet pairing in a triplet superconductor is shown to enhance the production of entangled pairs. These considerations may aid the design of functional devices to produce entangled photons. arXiv:1807.07980v2 [cond-mat.supr-con]

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“…In superconducting systems magnetoelectric effects are especially interesting, because they can manifest itself in many different ways. Responding to the applied exchange field superconducting systems with spin-orbit coupling (SOC) can generate a spontaneous current [34][35][36][37][38] , or experience a transition to the phase modulated helical state [39][40][41][42][43][44] . The particular type of the response depends on the geometry of the system.…”

Section: A Modelmentioning

confidence: 99%

Chirality selective spin interactions mediated by the moving superconducting condensate

et al. 2018

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We show that superconducting correlations in the presence of non-zero condensate velocity can mediate the peculiar interaction between localized spins that breaks the global inversion symmetry of magnetic moments. The proposed interaction mechanism is capable of removing fundamental degeneracies between topologically distinct magnetic textures. For the generic system of three magnetic impurities in the current-carrying superconductor we find the energy term proportional to spin chirality. In realistic superconductor/ferromagnetic/superconductor setups we reveal significant energy differences between various magnetic textures with opposite chiralities. We calculate Josephson energies of junctions through left and right-handed magnetic helices as well as through the magnetic skyrmions with opposite topological charges. Relative energy shifts between otherwise degenerate magnetic textures in these setups are regulated by the externally controlled Josephson phase difference. The suggested low-dissipative manipulation with the skyrmion position in a racetrack geometry can be used for the advanced spintronics applications. arXiv:1808.06102v2 [cond-mat.supr-con]

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Asymptotic splitting of boundary value problems for abstract differential equations

Cited by 10 publications

References 2 publications

Supercurrent-induced charge-spin conversion in spin-split superconductors

Supercurrent-induced charge-spin conversion in spin-split superconductors

Anisotropic purity of entangled photons from Cooper pairs in heterostructures

Chirality selective spin interactions mediated by the moving superconducting condensate

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