Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet layered structures

Abstract

We study induced triplet pairing correlations in clean ferromagnet/superconductor/ferromagnet heterostructures. The pairing state in the superconductor is the conventional singlet s-wave, and the angle $\alpha$ between the magnetizations of the two ferromagnetic layers is arbitrary. We use a numerical fully self-consistent solution of the microscopic equations and obtain the time-dependent triplet correlations via the Heisenberg equations of motion. We find that in addition to the usual singlet correlations, triplet correlations, odd in time as required by the Pauli principle, are induced in both the ferromagnets and the superconductor. These time-dependent correlations are largest at times of order of the inverse of the Debye cutoff frequency, ${\omega }_D$, and we find that within that time scale they are often spatially very long ranged. We discuss the behavior of the characteristic penetration lengths that describe these triplet correlations. We also find that the ferromagnets can locally magnetize the superconductor near the interface, and that the local magnetization then undergoes strongly damped oscillations. The local density of states exhibits a variety of energy signatures, which we discuss, as a function of ferromagnetic strength and $\alpha$.

12 pages including 11 figures

References in corpus (6)

• Odd-frequency pairing in normal metal/superconductor junctions
• Triplet proximity effect in FSF trilayers
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Odd Triplet Pairing in clean Superconductor/Ferromagnet heterostructures
• Josephson effect due to the long-range odd-frequency triplet superconductivity in SFS junctions with Neel domain walls
• Effect of an inhomogeneous exchange field on the proximity effect in disordered superconductor-ferromagnet hybrid structures

Cited by in corpus (5)

• Theory of superconducting and magnetic proximity effect in S$\mid$F structures with inhomogeneous magnetization textures and spin-active interfaces
• Odd triplet superconductivity in superconductor-ferromagnet structures with a narrow domain wall
• Proximity effect in ferromagnet/superconductor hybrids: from diffusive to ballistic motion
• Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases
• Effective spin-flip scattering in diffusive superconducting proximity systems with magnetic disorder