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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…

Superconductivity · Physics 2015-09-09 M. Eschrig , A. Cottet , W. Belzig , J. Linder

The quasiclassical theory of superconductivity provides the most successful description of diffusive heterostructures comprising superconducting elements, namely, the Usadel equations for isotropic Green's functions. Since the…

Superconductivity · Physics 2011-04-19 Audrey Cottet , Daniel Huertas-Hernando , Wolfgang Belzig , Yuli V. Nazarov

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition…

Superconductivity · Physics 2022-11-09 Jacob Linder , Morten Amundsen

The circuit theory of mesoscopic transport provides a unified framework to describe spin-dependent or superconductivity-related phenomena. We extend this theory to hybrid systems of normal metals, ferromagnets and superconductors. Our main…

Superconductivity · Physics 2009-11-27 Daniel Huertas-Hernando , Yu. V. Nazarov , W. Belzig

Based on the technique of quasiclassical Green's functions, we construct a theoretical framework for describing heterostructures consisting of superconductors and/or spin-polarized materials. The necessary boundary conditions at the…

Superconductivity · Physics 2009-11-10 J. Kopu , M. Eschrig , J. C. Cuevas , M. Fogelström

We analyze the broad range of spin-dependent nonequilibrium transport properties of hybrid systems composed of a normal region tunnel coupled to two superconductors with exchange fields induced by the proximity to thin ferromagnetic layers…

Mesoscale and Nanoscale Physics · Physics 2007-11-21 F. Giazotto , F. Taddei , P. D'Amico , Rosario Fazio , F. Beltram

We present a combined experimental and theoretical work that investigates the magnetic proximity effect at a ferromagnetic-insulator - superconductor (FI-S) interface. The simulation is based on the boundary condition for diffusive…

Superconductivity · Physics 2022-03-21 P. Machon , M. J. Wolf , D. Beckmann , W. Belzig

In this paper we derive effective boundary conditions connecting the quasiclassical Green's function through tunnel barriers in superconducting - normal hybrid (S-N or S-S') structures in the dirty limit. Our work extends previous…

Superconductivity · Physics 2009-10-28 C. J. Lambert , R. Raimondi , V. Sweeney , A. F. Volkov

We present a numerical study of the density of states in a ferromagnet/superconductor junction and the Josephson current in a superconductor/ferromagnet/superconductor junction in the diffusive limit by solving the Usadel equation with…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Asle Sudbø

In recent years, substantial progress has been made regarding the application of quasiclassical theory on superconducting hybrid structures. This theoretical framework is reliant on a proper set of boundary conditions in order to describe…

Superconductivity · Physics 2019-08-07 Morten Amundsen , Jacob Linder

The quasiclassical theory in terms of equations for the Green's functions (Eilenberger equations) is generalized in order to allow for quantitative description of the magneto-electric effects and proximity-induced triplet correlations in…

Superconductivity · Physics 2017-09-26 I. V. Bobkova , A. M. Bobkov

We present a theoretical study of the quasiparticle and subgap conductance of generic $X/I_{sf}/S_{M}$ junction with a spin-filter barrier $I_{sf}$, where $X$ is either a normal $N$ or a ferromagnetic metal $F$ and $S_{M}$ is a…

Superconductivity · Physics 2015-06-12 F. S. Bergeret , A. Verso , A. F. Volkov

We develop a comprehensive description of static and dynamic spin-transfer torque at interfaces between a normal metal and a magnetic material. Specific examples of the latter include ferromagnets, collinear and noncollinear…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Yaroslav Tserkovnyak , Hector Ochoa

The electron transport though ferromagnetic metal-superconducting hybrid devices is considered in the non-equilibrium Green's function formalism in the quasiclassical approximation. Attention if focused on the limit in which the exchange…

Superconductivity · Physics 2009-10-31 W. Belzig , Arne Brataas , Yu. V. Nazarov , Gerrit E. W. Bauer

We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary…

Superconductivity · Physics 2016-11-16 F. S. Bergeret , I. V. Tokatly

The description of the proximity effect in superconducting/ferromagnetic heterostructures requires to use spin-dependent boundary conditions. Such boundary conditions must take into account the spin dependence of the phase shifts acquired…

Superconductivity · Physics 2009-11-13 Audrey Cottet

We explore spin dependent transport through a magnetic quantum wire which is attached to two non-magnetic metallic electrodes. We adopt a simple tight-binding Hamiltonian to describe the model where the quantum wire is attached to two…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

Theoretical investigations of spin transfer torque in magnetic tunnel junctions using the tight-binding model in the framework of non-equilibrium Green functions formalism are presented. We show that the behavior of the spin transfer torque…

Materials Science · Physics 2009-11-13 M. Chshiev , I. Theodonis , A. Kalitsov , N. Kioussis , W. H. Butler

The quasiclassical Green function formalism is used to describe charge and spin dynamics in the presence of spin-orbit coupling. We review the results obtained for the spin Hall effect on restricted geometries. The role of boundaries is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Raimondi , C. Gorini , M. Dzierzawa , P. Schwab

We present a theoretical study of the effect of spin-filtering on the Josephson and dissipative quasiparticle currents in a superconducting tunnel junction. By combining the quasiclassical Green's functions and the tunneling Hamiltonian…

Superconductivity · Physics 2015-06-05 F. S. Bergeret , A. Verso , A. F. Volkov
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