<p>PtPb<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_4\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>4</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> is a type II superconductor with a bulk critical temperature <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_{c}\approx 3 \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>c</mi> </msub> <mo>≈</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation> K and an upper critical field of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="77" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{c2}=0.36 \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>0.36</mn> </mrow> </math></EquationSource> </InlineEquation> T. PtPb<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_4\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>4</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> is related to non-superconducting PtSn<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_4\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>4</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>, which presents nodal arc states at the surface. Here, we measure the superconducting density of states of PtPb<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_4\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>4</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> using millikelvin Scanning Tunneling Microscopy (STM). We observe a fully opened superconducting gap of <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq9.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta =0.48\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mo>=</mo> <mn>0.48</mn> </mrow> </math></EquationSource> </InlineEquation> meV similar to expectations from Bardeen, Cooper and Schrieffer (BCS) theory (<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq10.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="156" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta _0=1.76k_BT_{c}=0.49 \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">Δ</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>1.76</mn> <msub> <mi>k</mi> <mi>B</mi> </msub> <msub> <mi>T</mi> <mi>c</mi> </msub> <mo>=</mo> <mn>0.49</mn> </mrow> </math></EquationSource> </InlineEquation> meV). Measurements under magnetic fields applied perpendicular to the surface show a spatially inhomogeneous gap structure, presenting superconducting signatures at fields as high as 1.5 T, significantly above <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="77" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{c2}=0.36 \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>0.36</mn> </mrow> </math></EquationSource> </InlineEquation> T. On some locations, we find that the superconducting density of states does not vanish above <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq12.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>. We can find signatures of a superconducting gap up to 5 K. We discuss possible reasons for the observation of superconducting properties above <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq12.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 <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6995_Article_IEq14.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{c2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation>, emphasizing the role played by structural defects.</p>

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Superconducting Density of States of PtPb\(_4\)

  • Pablo García Talavera,
  • Jose Antonio Moreno,
  • Edwin Herrera,
  • Alexander I. Buzdin,
  • Sergey L. Bud’ko,
  • Paul C. Canfield,
  • Isabel Guillamón,
  • Hermann Suderow

摘要

PtPb \(_4\) 4 is a type II superconductor with a bulk critical temperature \(T_{c}\approx 3 \) T c 3 K and an upper critical field of \(H_{c2}=0.36 \) H c 2 = 0.36 T. PtPb \(_4\) 4 is related to non-superconducting PtSn \(_4\) 4 , which presents nodal arc states at the surface. Here, we measure the superconducting density of states of PtPb \(_4\) 4 using millikelvin Scanning Tunneling Microscopy (STM). We observe a fully opened superconducting gap of \(\Delta =0.48\) Δ = 0.48 meV similar to expectations from Bardeen, Cooper and Schrieffer (BCS) theory ( \(\Delta _0=1.76k_BT_{c}=0.49 \) Δ 0 = 1.76 k B T c = 0.49 meV). Measurements under magnetic fields applied perpendicular to the surface show a spatially inhomogeneous gap structure, presenting superconducting signatures at fields as high as 1.5 T, significantly above \(H_{c2}=0.36 \) H c 2 = 0.36 T. On some locations, we find that the superconducting density of states does not vanish above \(T_{c}\) T c . We can find signatures of a superconducting gap up to 5 K. We discuss possible reasons for the observation of superconducting properties above \(T_{c}\) T c and \(H_{c2}\) H c 2 , emphasizing the role played by structural defects.