<p>The quest for cuprate-like materials has gained momentum from recent research on infinite-layer nickelates. TaF<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_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>, with its structure of tantalum-centered fluorine octahedra, could potentially function as a <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(5d^1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>5</mn> <msup> <mi>d</mi> <mn>1</mn> </msup> </mrow> </math></EquationSource> </InlineEquation> analog to cuprates. According to density functional theory (DFT), monolayer TaF<InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_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> approximates a <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq10.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(d^{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>d</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation> state, with the <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq11.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(5d_{xy}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>5</mn> <msub> <mi>d</mi> <mrow> <mi mathvariant="italic">xy</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation> orbital of Ta almost half-filled. The Fermi level is intersected with a band derived from the <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq11.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(5d_{xy}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>5</mn> <msub> <mi>d</mi> <mrow> <mi mathvariant="italic">xy</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation> orbital, resulting in a square-shaped Fermi surface. Energetically, the checkerboard AFM configuration is most favorable, leading to an AFM insulating state upon inclusion of Coulomb interaction. The RPA calculations show that spin susceptibility has notable <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq13.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\((\pi ,\pi )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>π</mi> <mo>,</mo> <mi>π</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> peaks, and the <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq14.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(d_{x^2-y^2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>d</mi> <mrow> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>-</mo> <msup> <mi>y</mi> <mn>2</mn> </msup> </mrow> </msub> </math></EquationSource> </InlineEquation>-wave pairing exhibits the highest eigenvalue compared to other pairing types. The structural and electronic parallels between TaF<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_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> and cuprates highlight its potential for high-T<InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6984_Article_IEq3.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> superconductivity, although definitive evidence will require further theoretical and experimental validation.</p>

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Exploring Monolayer TaF\(_4\) as a 5\(d^1\) Analog to Cuprates with Potential for High-T\(_c\) Superconductivity

  • Yang Yang,
  • Shi-Quan Feng,
  • De-Wei Liu,
  • Hai-Yang Dai

摘要

The quest for cuprate-like materials has gained momentum from recent research on infinite-layer nickelates. TaF \(_4\) 4 , with its structure of tantalum-centered fluorine octahedra, could potentially function as a \(5d^1\) 5 d 1 analog to cuprates. According to density functional theory (DFT), monolayer TaF \(_4\) 4 approximates a \(d^{1}\) d 1 state, with the \(5d_{xy}\) 5 d xy orbital of Ta almost half-filled. The Fermi level is intersected with a band derived from the \(5d_{xy}\) 5 d xy orbital, resulting in a square-shaped Fermi surface. Energetically, the checkerboard AFM configuration is most favorable, leading to an AFM insulating state upon inclusion of Coulomb interaction. The RPA calculations show that spin susceptibility has notable \((\pi ,\pi )\) ( π , π ) peaks, and the \(d_{x^2-y^2}\) d x 2 - y 2 -wave pairing exhibits the highest eigenvalue compared to other pairing types. The structural and electronic parallels between TaF \(_4\) 4 and cuprates highlight its potential for high-T \(_c\) c superconductivity, although definitive evidence will require further theoretical and experimental validation.