Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling

Abstract

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 the presence of spin-orbit coupling in hybrid superconducting systems. The formalism is valid under the condition that the spin-orbit coupling is weak with respect to the Fermi energy, but exceeds the superconducting energy scale considerably. On the basis of the derived formalism it is shown that the triplet correlations in the spin-orbit coupled normal metal can be induced by proximity to a singlet superconductor without any exchange or external magnetic field. They contain an odd-frequency even-momentum component, which is stable against disorder. The value of the proximity-induced triplet correlations is of the order of ${\Delta }_{so}/{\epsilon }_F$, that is absent in the framework of the standard quasiclassical approximation, but can be described by our theory. The spin polarization, induced by the Josephson current flowing through the superconductor/Rashba metal/superconductor junction, is also calculated.

published version

References in corpus (18)

• Direct electronic measurement of the spin Hall effect
• Strong spin-orbit splitting on Bi surfaces
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Temperature dependence of spin diffusion length and spin Hall angle in Au and Pt
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• Theory of 2D superconductor with broken inversion symmetry
• Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Quantum ground state control in superconductor-silicene structures: $0$-$\pi$ transitions, ${\phi }_0$-junctions, and Majorana bound states
• Manifestation of extrinsic spin Hall effect in superconducting structures: Non-dissipative magnetoelectric effects
• Spin-Hall effects in a Josephson contact

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