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Coexistence of incommensurate magnetism and superconductivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Fe</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Se</mml:mtext></mml:mrow><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mrow><mml:mtext>Te</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></…
We have studied the superconducting and magnetic properties of ${\text{Fe}}_{1+y}{\text{Se}}_{x}{\text{Te}}_{1\ensuremath{-}x}$ single crystals $(0\ensuremath{\le}x\ensuremath{\le}0.5)$ by magnetic susceptibility, muon-spin rotation, and neutron diffraction. We find three regimes of behavior: (i) commensurate magnetic order for $x\ensuremath{\lesssim}0.1$, (ii) bulk superconductivity for $x\ensuremath{\sim}0.5$, and (iii) a range $x\ensuremath{\approx}0.25--0.45$ in which superconductivity coexists with incommensurate magnetic …