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Coexistence of superconductivity and magnetism in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>CaK</mml:mi><mml:mo>(</mml:mo><mml:mi>Fe</mml:mi><mml:msub><mml:mrow /><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mi>Ni</mml:mi><mml:mrow><mml:msub><mml:mrow /><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mn>4</mml:mn></mml:msub></mml:mrow><mml:mi>As</mml:mi><mml:msub><mml:mrow /><mml:mn>4</mml:mn…
Temperature dependent $^{57}$Fe M\"ossbauer spectroscopy and specific heat measurements for CaK(Fe$_{1-x}$Ni$_x$)$_4$As$_4$ with $x$ = 0, 0.017, 0.033, and 0.049 are presented. No magnetic hyperfine field (e.g. no static magnetic order) down to 5.5 K was detected for $x$ = 0 and 0.017 in agreement with the absence of any additional …