**General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit : application to strongly spin-polarized systems.** / Eschrig, Matthias; Cottet, Audrey; Belzig, Wolfgang; Linder, Jacob.

Research output: Contribution to journal › Article

Published

**General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit : application to strongly spin-polarized systems.** / Eschrig, Matthias; Cottet, Audrey; Belzig, Wolfgang; Linder, Jacob.

Research output: Contribution to journal › Article

Eschrig, M, Cottet, A, Belzig, W & Linder, J 2015, 'General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: application to strongly spin-polarized systems', *New Journal of Physics*, vol. 17, no. August 2015, 083037, pp. 1-21. https://doi.org/10.1088/1367-2630/17/8/083037

Eschrig, M., Cottet, A., Belzig, W., & Linder, J. (2015). General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: application to strongly spin-polarized systems. *New Journal of Physics*, *17*(August 2015), 1-21. [083037]. https://doi.org/10.1088/1367-2630/17/8/083037

Eschrig M, Cottet A, Belzig W, Linder J. General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: application to strongly spin-polarized systems. New Journal of Physics. 2015 Aug 18;17(August 2015):1-21. 083037. https://doi.org/10.1088/1367-2630/17/8/083037

@article{7457e37f7df042b9b7145d79301d8651,

title = "General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: application to strongly spin-polarized systems",

abstract = "Boundary conditions in quasiclassical theory of superconductivity are of crucial importance for describing proximity effects in heterostructures between different materials. Although they have been derived for the ballistic case in full generality, corresponding boundary conditions for the diffusive limit, described by Usadel theory, have been lacking for interfaces involving strongly spin-polarized materials, such as e.g. half-metallic ferromagnets. Given the current intense research in the emerging field of superconducting spintronics, the formulation of appropriate boundary conditions for the Usadel theory of diffusive superconductors in contact with strongly spin-polarized ferromagnets for arbitrary transmission probability and arbitrary spin-dependent interface scattering phases has been a burning open question. Here we close this gap and derive the full boundary conditions for quasiclassical Green functions in the diffusive limit, valid for any value of spin polarization, transmission probability, and spin-mixing angles (spin-dependent scattering phase shifts). It allows also for complex spin textures across the interface and for channel off-diagonal scattering (a necessary ingredient when the numbers of channels on the two sides of the interface differ). As an example we derive expressions for the proximity effect in diffusive systems involving half-metallic ferromagnets. In a superconductor/half-metal/superconductor Josephson junction we find φ0-junction behavior under certain interface conditions.",

author = "Matthias Eschrig and Audrey Cottet and Wolfgang Belzig and Jacob Linder",

year = "2015",

month = aug,

day = "18",

doi = "10.1088/1367-2630/17/8/083037",

language = "English",

volume = "17",

pages = "1--21",

journal = "New Journal of Physics",

issn = "1367-2630",

publisher = "IOP Publishing Ltd.",

number = "August 2015",

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T1 - General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit

T2 - application to strongly spin-polarized systems

AU - Eschrig, Matthias

AU - Cottet, Audrey

AU - Belzig, Wolfgang

AU - Linder, Jacob

PY - 2015/8/18

Y1 - 2015/8/18

N2 - Boundary conditions in quasiclassical theory of superconductivity are of crucial importance for describing proximity effects in heterostructures between different materials. Although they have been derived for the ballistic case in full generality, corresponding boundary conditions for the diffusive limit, described by Usadel theory, have been lacking for interfaces involving strongly spin-polarized materials, such as e.g. half-metallic ferromagnets. Given the current intense research in the emerging field of superconducting spintronics, the formulation of appropriate boundary conditions for the Usadel theory of diffusive superconductors in contact with strongly spin-polarized ferromagnets for arbitrary transmission probability and arbitrary spin-dependent interface scattering phases has been a burning open question. Here we close this gap and derive the full boundary conditions for quasiclassical Green functions in the diffusive limit, valid for any value of spin polarization, transmission probability, and spin-mixing angles (spin-dependent scattering phase shifts). It allows also for complex spin textures across the interface and for channel off-diagonal scattering (a necessary ingredient when the numbers of channels on the two sides of the interface differ). As an example we derive expressions for the proximity effect in diffusive systems involving half-metallic ferromagnets. In a superconductor/half-metal/superconductor Josephson junction we find φ0-junction behavior under certain interface conditions.

AB - Boundary conditions in quasiclassical theory of superconductivity are of crucial importance for describing proximity effects in heterostructures between different materials. Although they have been derived for the ballistic case in full generality, corresponding boundary conditions for the diffusive limit, described by Usadel theory, have been lacking for interfaces involving strongly spin-polarized materials, such as e.g. half-metallic ferromagnets. Given the current intense research in the emerging field of superconducting spintronics, the formulation of appropriate boundary conditions for the Usadel theory of diffusive superconductors in contact with strongly spin-polarized ferromagnets for arbitrary transmission probability and arbitrary spin-dependent interface scattering phases has been a burning open question. Here we close this gap and derive the full boundary conditions for quasiclassical Green functions in the diffusive limit, valid for any value of spin polarization, transmission probability, and spin-mixing angles (spin-dependent scattering phase shifts). It allows also for complex spin textures across the interface and for channel off-diagonal scattering (a necessary ingredient when the numbers of channels on the two sides of the interface differ). As an example we derive expressions for the proximity effect in diffusive systems involving half-metallic ferromagnets. In a superconductor/half-metal/superconductor Josephson junction we find φ0-junction behavior under certain interface conditions.

U2 - 10.1088/1367-2630/17/8/083037

DO - 10.1088/1367-2630/17/8/083037

M3 - Article

VL - 17

SP - 1

EP - 21

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

IS - August 2015

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ER -