<p>Addition of magnetic nanoparticles of cobalt in the inter-granular region of polycrystalline Y<InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>3</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Ba<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{5}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>5</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu<InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>8</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>O<InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq4.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{18-\delta }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mn>18</mn> <mo>-</mo> <mi>δ</mi> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> (Y-358) affects both the superfluid phase stiffness (<InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq13.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(J\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>J</mi> </math></EquationSource> </InlineEquation> <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq14.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mi>s</mi> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>) and the transport critical current density (<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq13.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(J\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>J</mi> </math></EquationSource> </InlineEquation> <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq16.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mi>c</mi> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>). We have studied the current-voltage (<i>IV</i>) characteristics of (i) the pure Y-358 and (ii) Co-mixed Y-358 superconductors. <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq17.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(J_s\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>J</mi> <mi>s</mi> </msub> </math></EquationSource> </InlineEquation> via an exponent related to nonlinearity of the <i>IV</i> curves is obtained within the framework of Berezinskii-Kosterlitz-Thouless (BKT) transition. A distinct indication of the BKT transition has been observed in the Y-358+0.75 wt.% Co composite system. <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq18.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(J_c\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>J</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation> (<i>T</i>) has also been extracted to understand the effectiveness of Co-nanoparticles. A suppression in the current induced activation energy (<i>U</i>) in zero magnetic field leads to the degradation in transport <InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq13.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(J\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>J</mi> </math></EquationSource> </InlineEquation> <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6990_Article_IEq16.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mi>c</mi> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> in the composite Y-358 superconductors.</p>

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On the Impact of Magnetic Co-nanoparticles on the Activation Energy and Transport Critical Current Density in Multilayered Y\(_{3}\)Ba\(_{5}\)Cu\(_{8}\)O\(_{18-\delta }\) Superconductors

  • Ipsita Mukherjee,
  • Doyel Rakshit,
  • Firoz Molla,
  • Ajay Kumar Ghosh

摘要

Addition of magnetic nanoparticles of cobalt in the inter-granular region of polycrystalline Y \(_{3}\) 3 Ba \(_{5}\) 5 Cu \(_{8}\) 8 O \(_{18-\delta }\) 18 - δ (Y-358) affects both the superfluid phase stiffness ( \(J\) J \(_{s}\) s ) and the transport critical current density ( \(J\) J \(_{c}\) c ). We have studied the current-voltage (IV) characteristics of (i) the pure Y-358 and (ii) Co-mixed Y-358 superconductors. \(J_s\) J s via an exponent related to nonlinearity of the IV curves is obtained within the framework of Berezinskii-Kosterlitz-Thouless (BKT) transition. A distinct indication of the BKT transition has been observed in the Y-358+0.75 wt.% Co composite system. \(J_c\) J c (T) has also been extracted to understand the effectiveness of Co-nanoparticles. A suppression in the current induced activation energy (U) in zero magnetic field leads to the degradation in transport \(J\) J \(_{c}\) c in the composite Y-358 superconductors.