Anisotropically large anomalous and topological Hall effect in a kagome magnet

Recently, kagome materials have become an engrossing platform to study the interplay among symmetry, magnetism, topology, and electron correlation. The latest works on $R{\mathrm{Mn}}_{6}{\mathrm{Sn}}_{6}$ ($R$ = rare-earth metal) compounds have illustrated that this family could be intriguing to investigate various physical phenomena due to large spin-orbit coupling and strong magnetic ordering. However, combined transport and spectroscopic studies in $R{\mathrm{Mn}}_{6}{\mathrm{Sn}}_{6}$ materials are still limited. Here, we report magnetic, magnetotransport, and angle-resolved photoemission spectroscopy measurements of a kagome magnet ${\mathrm{ErMn}}_{6}{\mathrm{Sn}}_{6}$ that undergoes antiferromagnetic (${T}_{N}=345\phantom{\rule{0.28em}{0ex}}\mathrm{K}$) to ferrimagnetic (${T}_{C}=68\phantom{\rule{0.16em}{0ex}}\mathrm{K}$) phase transitions in the presence of a field. We observe large anomalous and topological Hall effects serving as transport signatures of the nontrivial Berry curvature. The isothermal magnetization exhibits strong anisotropic nature and the topological Hall effect of the compound depends on the critical field of metamagnetic transition. Our spectroscopic results complemented by theoretical calculations show the multiorbital kagome fermiology. This Letter provides new insight into the tunability and interplay of topology and magnetism in a kagome magnet.