Temperature-induced transition of thin superconductor/ferromagnet/normal-metal (S/F/N) hybrid structure to an in-plane Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is accompanied by vanishing of effective inverse magnetic field penetration depth ${\mathrm{\Lambda }}^{-1}$ [S. V. Mironov et al., Phys. Rev. Lett. 121, 077002 (2018)]. Here we show that ${\mathrm{\Lambda }}^{-1}$ goes to zero only in the limit of zero magnetic field $H\to 0$ and at any finite parallel $H$ or in-plane current $I$ it is finite and positive in the FFLO state, which implies a diamagnetic response. We demonstrate that ${\mathrm{\Lambda }}^{-1}$ has a nonmonotonic dependence on $H$ and $I$ not only in the parameter range corresponding to the FFLO phase domain but also in its vicinity. We find that for S/F/N/F/S structures with certain thicknesses of F layers there is a temperature-, current-, and magnetic-field-driven transition to and out of the FFLO phase with a simultaneous jump of ${\mathrm{\Lambda }}^{-1}$.

• Received 5 October 2018
• Revised 28 November 2018

DOI:https://doi.org/10.1103/PhysRevB.98.214510