Abstract
We present experimental evidence for (a) multiphase superconductivity and (b) coexistence of magnetism and superconductivity in a single structural phase of lithiated iron selenide hydroxide $[(\mathrm{L}{\mathrm{i}}_{1\ensuremath{-}x}\mathrm{F}{\mathrm{e}}_{x})\text{OH]FeSe}$. Magnetic field modulated microwave spectroscopy data confirms superconductivity with at least two distinct transition temperatures attributed to well-defined superconducting phases at ${T}_{\mathrm{SC}1}=40\ifmmode\pm\else\textpm\fi{}2$ K and ${T}_{\mathrm{SC}2}=35\ifmmode\pm\else\textpm\fi{}2$ K. Magnetometry data for the upper critical fields reveal a change in the magnetic order $({T}_{M}=12$ K) below ${T}_{\mathrm{SC}1}$ and ${T}_{\mathrm{SC}2}$ that is consistent with ferromagnetism. This occurs because the superconducting coherence length is much smaller than the structural coherence length, allowing for several different electronic and magnetic states on a single crystallite. The results give insight into the physics of complex multinary materials, where several phenomena governed by different characteristic length scales coexist.
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