<p>Three key aspects of magnetic topological materials, <i>i.e</i>., band topology, magnetic order and anomalous transport are closed related with each other, laying the ground for exotic phenomena such as topological magnetoelectric and magneto-optical effects. Here in the ferromagnetic Weyl semimetal PrAlSi, we report negligible effect of magnetic order on the band structure featuring Weyl fermions, as directly observed by angle-resolved photoemission spectroscopy. Instead, both anomalous and normal Hall effects show clear temperature/magnetism dependence. While the longitudinal conductivity (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_816_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">σ</mi> </mrow> <mrow> <mi mathvariant="bold-italic">xx</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>) is deep in the empirically intrinsic region, the anomalous Hall conductivity (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_816_Article_IEq2.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{AHE}}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">σ</mi> </mrow> <mrow> <mi mathvariant="bold-italic">AHE</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>) is quadratically proportional to <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_816_Article_IEq3.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">σ</mi> </mrow> <mrow> <mi mathvariant="bold-italic">xx</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, suggesting giant anomalous Hall angle at moderate <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_816_Article_IEq4.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">σ</mi> </mrow> <mrow> <mi mathvariant="bold-italic">xx</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>. Our findings point to disentangled band topology and anomalous transport, as well as the possibility to achieve high <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_816_Article_IEq5.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{AHE}}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="bold-italic">σ</mi> </mrow> <mrow> <mi mathvariant="bold-italic">AHE</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> in highly conductive, ultrathin PrAlSi, suitable for anomalous Hall sensors and spin-transfer torque application.</p>

Dichotomy of magnetic effect between Weyl fermions and anomalous Hall effect in PrAlSi

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2025年5月5日

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Hongtao Rong,
Ao Zhang,
Fu Yu,
Meng Lyu,
Hang Li,
Masashi Arita,
Zhanyang Hao,
Qi Jiang,
Zhengtai Liu,
Mao Ye,
Yuxuan Guo,
Jingfeng Xu,
Chen Liu,
Jiaou Wang,
Shu Guo,
Le Wang,
Junhao Lin,
Kenya Shimada,
Enke Liu,
Junbao He,
Qihang Liu,
Chaoyu Chen

摘要

Three key aspects of magnetic topological materials, i.e., band topology, magnetic order and anomalous transport are closed related with each other, laying the ground for exotic phenomena such as topological magnetoelectric and magneto-optical effects. Here in the ferromagnetic Weyl semimetal PrAlSi, we report negligible effect of magnetic order on the band structure featuring Weyl fermions, as directly observed by angle-resolved photoemission spectroscopy. Instead, both anomalous and normal Hall effects show clear temperature/magnetism dependence. While the longitudinal conductivity ( ${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$ $σ_{xx}$ ) is deep in the empirically intrinsic region, the anomalous Hall conductivity ( ${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{AHE}}}}$ $σ_{AHE}$ ) is quadratically proportional to ${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$ $σ_{xx}$ , suggesting giant anomalous Hall angle at moderate ${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{xx}}}}$ $σ_{xx}$ . Our findings point to disentangled band topology and anomalous transport, as well as the possibility to achieve high ${{{\boldsymbol{\sigma }}}}_{{{\boldsymbol{AHE}}}}$ $σ_{AHE}$ in highly conductive, ultrathin PrAlSi, suitable for anomalous Hall sensors and spin-transfer torque application.