<p>The unique geometry of kagome lattices leads to topological features such as flat bands and Dirac cones. When paired with ferromagnetism and a Fermi level near Dirac points, they offer a platform for realizing topological Chern magnetotransport. This prospect recently drew interest in the ferrimagnetic kagome metal TbMn<sub>6</sub>Sn<sub>6</sub>. However, density functional theory (DFT) calculations indicate that its 2D Chern gap lies well above the Fermi energy, raising questions about its role in anomalous Hall conductivity. Here, we study YMn<sub>6</sub>Sn<sub>5.45</sub>Ga<sub>0.55</sub>, a structurally and electronically similar material, and find that its intrinsic anomalous Hall effect is three-dimensional. This demonstrates that the Hall response in such compounds does not originate from 2D Chern gaps. Additionally, we confirm that the newly proposed empirical scaling relation for extrinsic Hall conductivity is universally governed by spin fluctuations.</p>

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Three-dimensional nature of anomalous Hall conductivity in YMn6Sn6−xGax, x ≈ 0.55

  • Hari Bhandari,
  • Zhenhua Ning,
  • Po-Hao Chang,
  • Peter E. Siegfried,
  • Resham B. Regmi,
  • Mohamed El. Gazzah,
  • Albert V. Davydov,
  • Allen G. Oliver,
  • Liqin Ke,
  • Igor I. Mazin,
  • Nirmal J. Ghimire

摘要

The unique geometry of kagome lattices leads to topological features such as flat bands and Dirac cones. When paired with ferromagnetism and a Fermi level near Dirac points, they offer a platform for realizing topological Chern magnetotransport. This prospect recently drew interest in the ferrimagnetic kagome metal TbMn6Sn6. However, density functional theory (DFT) calculations indicate that its 2D Chern gap lies well above the Fermi energy, raising questions about its role in anomalous Hall conductivity. Here, we study YMn6Sn5.45Ga0.55, a structurally and electronically similar material, and find that its intrinsic anomalous Hall effect is three-dimensional. This demonstrates that the Hall response in such compounds does not originate from 2D Chern gaps. Additionally, we confirm that the newly proposed empirical scaling relation for extrinsic Hall conductivity is universally governed by spin fluctuations.