The Effect of Planar Magnetic Inhomogeneities on the Critical Temperature of Ferromagnet–Superconductor Systems

Critical Temperature of a Superconductor/Ferromagnet Nanostructure near a Magnetic Skyrmion

“…In this work, we propose an approximate approach to such problems based on the transition to a new basis by a unitary transformation in the spin space of an itinerant electron. As shown in [23], this approach can be applied to a Hamiltonian in the effective exchange field approximation. In this study, we apply the unitary transformation to the Usadel equations obtained in [24] for magnetization nonuniform in direction.…”

Long-range spin-singlet proximity effect for a Josephson system with a single-crystal ferromagnet due to its band-structure features

“…The triplet type of superconductivity occurs when the exchange field is inhomogeneous 3,4,[15][16][17][18][19][20] . This can be realized in SF multilayers with noncolinear magnetizations in different F layers 11,12,16,[21][22][23][24] , in the presence of domain walls [25][26][27] or a spin-active interface 10,28 .…”

Oscillations of the Critical Temperature in a (Fe/Cr/Fe)/V/Fe Heterostructure

“…Using the algorithm for solving the boundary value problem for the Usadel matrix function [23], we found that the effect of the ferromagnetic exchange interaction on the critical temperature is almost completely suppressed for a characteristic size of the domain structure (1 -2)ξ s . In this case, it is possible to compare the given characteristic size of the magnetic inhomogeneities with the effective exchange field I e (acting in a homogeneous magnetic superconductor), which leads to the same decrease in T c .…”