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Small-angle neutron scattering (SANS) measurements are performed on theferromagnetic superconductor EuFe$_{2}$(As$_{0.8}$P$_{0.2}$)$_{2}$($T\rm_{sc}=22.5\,$K) to probe the delicate interplay between ferromagnetismand superconductivity. A clear signature of large ferromagnetic domains isfound below the ferromagnetic ordering temperature $T\rm_{C}$ = 18.5 K. In asmall temperature interval of $\sim$ 1.5 K below $T\rm_{C}$, additional SANSsignal is observed, of which the indirect Fourier transform revealscharacteristic length scales in between $\sim$ 80 nm to $\sim$ 160 nm. Thesenanometer-scaled domain structures are identified to result from anintermediate inhomogeneous Meissner effect denoted domain Meissner state, whichwas recently observed on the surface of EuFe$_{2}$(As$_{0.79}$P$_{0.21}$)$_{2}$crystals by means of magnetic force microscopy [V. S. Stolyarov $\mathit{et}$$\mathit{al.}$, Sci. Adv. 4, 1061 (2018)], ascribing to the competition betweenferromagnetism and superconductivity. Our measurements clearly render thedomain Meissner state as a bulk phenomenon and provide a key solution to themystery regarding the intriguing coexistence of strong ferromagnetism and bulksuperconductivity in these compounds.

physical review. b./physical review. b

Bulk domain Meissner state in the ferromagnetic superconductor  EuFe$_{2}$(As$_{0.8}$P$_{0.2}$)$_{2}$: Consequence of compromise between  ferromagnetism and superconductivity