Magnetic frustration in kagomé lattice materials has attracted considerable attention as a source of novel magnetic properties and magnetotransport phenomena. Here we report experimental evidence for collinear ferrimagnetic ordering and multiple field-induced magnetic transitions in $\mathrm{T}{\mathrm{b}}_3\mathrm{R}{\mathrm{u}}_4\mathrm{A}{\mathrm{l}}_{12}$ with a breathing kagomé lattice, revealed by field-dependent resonant x-ray scattering measurements performed at 8 K. The Hall response shows significant deviation from the conventional behavior above the ordering temperature, which can be plausibly interpreted in terms of thermally induced scalar spin chirality. Theoretical calculations reveal the emergence of net scalar spin chirality, whose magnitude depends on Ising-type magnetic anisotropy, in good agreement with experimental results on breathing kagomé magnets with different magnitude of the easy-axis anisotropy. This study highlights that nontrivial magnetotransport phenomena in breathing kagomé magnets may arise from thermally fluctuating spin moments with finite scalar spin chirality, even when the ground state is a collinear ferrimagnet.

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• Electrical conductivity
• Electrical properties
• Frustrated magnetism
• Hall effect
• Magnetic anisotropy
• Magnetic texture
• Magnetotransport