Current carrying Andreev bound states in a Superconductor-Ferromagnet proximity system

Abstract

We study the ground state properties of a ferromagnet-superconductor heterostructure on the basis of a quasiclassical theory. We have solved the Eilenberger equations together with Maxwell's equation fully self-consistently and found that due to the proximity effect a Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) like state is realized in such system. Moreover this state has oscillations of the pairing amplitude in either one or two directions, depending on the exchange splitting and thickness of the ferromagnet. In particular, using semiclassical arguments (Bohr-Sommerfeld quantization rule) we show that owing to the presence of the Andreev bound states in the ferromagnet, a spontaneous current in the ground state is generated as a hallmark of the FFLO state in the direction parallel to the interface. We also discuss the effects of the the elastic disorder and finite transparency of the interface on the properties of the $FFLO$ state in the system.

arXiv comment4 pages, 4 figures

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• Fulde-Ferrell-Larkin-Ovchinnikov state in disordered s-wave superconductors
• Inducing odd-frequency triplet superconducting correlations in a normal metal
• Conductance characteristics between a normal metal and a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superconductor: the Fulde-Ferrell state
• Theory of Andreev Bound States in S-F-S Junctions and S-F Proximity Devices
• Theory of tunneling spectroscopy in the Larkin-Ovchinnikov state
• Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism
• Interplay between superconductivity and ferromagnetism in epitaxial Nb(110)/Au(111)/Co(0001) trilayers
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Origin of Spontaneous Currents in a Superconductor-Ferromagnet Proximity System
• 1D-FFLO state in the absence of time-reversal symmetry breaking
• Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional cubic optical lattice
• Detecting Fulde-Ferrell superconductors by an Andreev interferometer
• Quantum size effects on Andreev transport in Nb/Au/Nb Josephson junctions: A combined ab-initio and experimental study
• Non-monotonic behaviour of the superconducting order parameter in Nb/PdNi bilayers observed through point contact spectroscopy
• Residual Kondo effect in quantum dot coupled to half-metallic ferromagnets
• Effect of Transparency on the D-wave Josephson Junction
• Towards 4 formalisms description of properties of the unconventional Josephson junction and unconventional SQUIDs made by putting non-superconducting strip on the top of superconducting strip