We present a comprehensive study of the magnetic, thermodynamic, and transport properties of single-crystalline TbRhPb, a geometrically frustrated rare-earth compound that crystallizes in the noncentrosymmetric ZrNiAl-type structure, where ${\mathrm{Tb}}^{3+}$ ions form a quasikagome arrangement in the $ab$ plane. Temperature-dependent magnetization measurements reveal two successive antiferromagnetic transitions at $T_{N1}\approx$ 21 K and $T_{N2}\approx$ 12.4 K. For $H\perp c,\chi (T$) shows two broad humps at $\approx$ 60 and 110 K due to the presence of the crystal electric field (CEF) effect. Our CEF analysis shows the 13-fold degenerate ground state of the ${\mathrm{Tb}}^{3+}$ ion split into five singlets and four doublets with an overall splitting $\approx$ 277 K. Isothermal magnetization for $H\perp c$ display two steplike metamagnetic transitions with small hysteresis, whereas no such features appear for $H\parallel c$ in the ordered state, highlighting strong magnetic anisotropy. Heat-capacity and resistivity measurements confirm the magnetic ordering and indicate gapped-magnon behavior below $T_{N2}$. The resulting magnetic field-temperature ($H-T$) phase diagram indicates a complex magnetic ground state. In addition, transport measurements show metallic behavior with low carrier density and large, anisotropic magnetoresistance. First-principles calculations identify an in-plane AFM ground state and reveal linear band crossings that form nodal-line features near the Fermi level. Together, these results suggest that TbRhPb is a promising antiferromagnetic topological semimetal candidate.

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• Electronic structure
• Frustrated magnetism
• Magnetism
• Magnetotransport
• Topological materials
• First-principles calculations