Partially disordered antiferromagnetism (PDA) (in which one of the three magnetic ions in a triangular network remains magnetically disordered) has been known commonly among geometrically frustrated insulating materials. The 1/3 plateau in isothermal magnetization M of such materials has been of great theoretical interest. Here we report these properties in an ${\mathrm{AlB}}_2$-structure-derived metallic material, ${\mathrm{Er}}_2\mathrm{Rh}{\mathrm{Si}}_3$, in which the Er sublattice has triangular networks. The presence of a well-defined λ anomaly in the temperature T dependence of heat capacity and its magnetic-field H dependence and the loss of spin-disorder contribution to electrical resistivity ρ confirm antiferromagnetic order below $T_N=5\mathrm{K}$. On the other hand, the separation of zero-field-cooled and field-cooled dc magnetic susceptibility χ curves, the decay of isothermal remnant magnetization, and the frequency dependence of real and imaginary components of ac χ suggest the onset of spin-glass freezing concomitant with the antiferromagnetic order. In addition, interestingly, we observe the 1/3 plateau in M(H) below 20 kOe for $T<T_N$. The change in ρ as a function of H at a given temperature well below $T_N$ is also revealing, with this compound exhibiting a plateau below 20 kOe, with complexities at higher fields. Therefore, this compound serves as a prototype for theoretical understanding of transport behavior across the 1/3 plateau due to PDA magnetism in a metal without any interference from the $4f$ delocalization phenomenon.

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• Magnetic interactions
• Magnetic order
• Magnetic phase transitions
• Magnetic susceptibility
• Magnetization dynamics
• Magnetotransport