<p>We have grown large (8–10&#xa0;mm in dimension) single crystals of K<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq7.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{0.8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn>0.8</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Fe<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq8.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{1.7}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn>1.7</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>(Se<InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq9.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{0.73}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn>0.73</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>S<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq10.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{0.27}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn>0.27</mn> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>)<InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq11.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_2\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>2</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> composition with partial isovalent (Se,S) substitution related to the 122-Se family of iron-chalcogenide superconductors. High quality and homogeneity of the superconducting properties below <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq12.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_c \approx 26\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>c</mi> </msub> <mo>≈</mo> <mn>26</mn> </mrow> </math></EquationSource> </InlineEquation>&#xa0;K were confirmed using X-ray diffraction, electron microscopy, energy dispersive X-ray spectroscopy, transport, and magnetic probes. Using detailed magnetotransport R(T) probes in magnetic fields up to 16&#xa0;T in two field orientations (in-plane <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq13.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(H \parallel ab\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>H</mi> <mo stretchy="false">‖</mo> <mi>a</mi> <mi>b</mi> </mrow> </math></EquationSource> </InlineEquation> and out-of-plane <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq14.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(H \parallel c\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>H</mi> <mo stretchy="false">‖</mo> <mi>c</mi> </mrow> </math></EquationSource> </InlineEquation>), we determined temperature dependences of the upper critical field <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq15.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="71" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu _0H_{c2}^{ab}(T)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>μ</mi> <mn>0</mn> </msub> <msubsup> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> <mrow> <mi mathvariant="italic">ab</mi> </mrow> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq16.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="69" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu _0H_{c2}^c(T)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>μ</mi> <mn>0</mn> </msub> <msubsup> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> <mi>c</mi> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, magnetic anisotropy <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq17.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma \approx 3.5\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>γ</mi> <mo>≈</mo> <mn>3.5</mn> </mrow> </math></EquationSource> </InlineEquation> in the vicinity of <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq18.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_c\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>, and estimate zero-temperature values <InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq19.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="105" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu _0H_{c2}^{ab}(0) \approx 99\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>μ</mi> <mn>0</mn> </msub> <msubsup> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> <mrow> <mi mathvariant="italic">ab</mi> </mrow> </msubsup> <mrow> <mo stretchy="false">(</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> <mo>≈</mo> <mn>99</mn> </mrow> </math></EquationSource> </InlineEquation>&#xa0;T, <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6963_Article_IEq20.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="103" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu _0H_{c2}^c(0) \approx 28\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>μ</mi> <mn>0</mn> </msub> <msubsup> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> <mi>c</mi> </msubsup> <mrow> <mo stretchy="false">(</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> <mo>≈</mo> <mn>28</mn> </mrow> </math></EquationSource> </InlineEquation>&#xa0;T.</p>

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Single Crystal Growth, Transport Phenomena, and Upper Critical Field of Alkali Metal-Based K\(_x\)Fe\(_{2-y}\)(Se,S)\(_2\) Iron Chalcogenides

  • Tatiana Kuzmicheva,
  • Leonid Morgun,
  • Sergey Gavrilkin,
  • Svetoslav Kuzmichev,
  • Alena Degtyarenko,
  • Andrei Muratov,
  • Ilya Zhuvagin,
  • Andrey Shilov,
  • Yevgeny Rakhmanov,
  • Igor Morozov

摘要

We have grown large (8–10 mm in dimension) single crystals of K \(_{0.8}\) 0.8 Fe \(_{1.7}\) 1.7 (Se \(_{0.73}\) 0.73 S \(_{0.27}\) 0.27 ) \(_2\) 2 composition with partial isovalent (Se,S) substitution related to the 122-Se family of iron-chalcogenide superconductors. High quality and homogeneity of the superconducting properties below \(T_c \approx 26\) T c 26  K were confirmed using X-ray diffraction, electron microscopy, energy dispersive X-ray spectroscopy, transport, and magnetic probes. Using detailed magnetotransport R(T) probes in magnetic fields up to 16 T in two field orientations (in-plane \(H \parallel ab\) H a b and out-of-plane \(H \parallel c\) H c ), we determined temperature dependences of the upper critical field \(\mu _0H_{c2}^{ab}(T)\) μ 0 H c 2 ab ( T ) and \(\mu _0H_{c2}^c(T)\) μ 0 H c 2 c ( T ) , magnetic anisotropy \(\gamma \approx 3.5\) γ 3.5 in the vicinity of \(T_c\) T c , and estimate zero-temperature values \(\mu _0H_{c2}^{ab}(0) \approx 99\) μ 0 H c 2 ab ( 0 ) 99  T, \(\mu _0H_{c2}^c(0) \approx 28\) μ 0 H c 2 c ( 0 ) 28  T.