Following the discovery of a quantum-limit magnetic Chern phase in TbMn$_6$Sn$_6$ , and the observation of a large topological Hall effect (THE) related to the field-induced magnetic phases in YMn$_6$Sn$_6$ , the magnetic topological metal series RMn$_6$Sn$_6$ (R=Gd-Yb, and Y, Lu etc.) , that possess an ideal kagome lattice of Mn, have emerged as a new platform to explore exotic states and novel functionalities. We have recently carried out the growth of high-quality single crystals of the magnetic kagome metal ErMn$_6$Sn$_6$ via the flux method, and the physical properties characterizations via the magnetic susceptibility, heat capacity and Hall conductivity measurements. We have also undertaken comprehensive neutron diffraction experiments on both single-crystal and powder samples at the WISH diffractometer at ISIS. A number of distinct magnetic ordered phases, including the spiral, conical and k = 0 magnetic orders, have been identified in cooling to low temperatures. Furthermore, we have also observed a range of complex field-induced magnetic phases, including the multi-k non-coplanar magnetic orders, via field-dependent single-crystal neutron diffraction at WISH. We have found that these complex field-induced magnetic phases are directly associated to our observed THE over a wide phase space of field and temperature in this compound. Our study has clearly hinted a fascinating interplay between topologically non-trivial electronic band structures, magnetism and electronic correlations in ErMn$_6$Sn$_6$.
 J. X. Yin, et al., Nature 583, 533 (2020).
 N. J. Ghimire, et al., Sci. Adv. 6, eabe2680 (2020).
 W. Ma, et al., Phys. Rev. Lett. 126, 246602 (2021).