High Pressure Measurements of the Resistivity of $\beta$-YbAlB${}_4$

Abstract

The electric resistivity $\rho (T)$ under hydrostatic pressure up to 8 GPa was measured above 2 K using a high-quality single crystal of the Yb-based heavy fermion system $\beta$-YbAlB${}_4$. We found pressure-induced magnetic ordering above the critical pressure $P_{\mathrm{c}}\approx$ 2.4 GPa. This phase transition temperature $T_M$ is enhanced with pressure and reaches 30 K at a pressure of 8 GPa, which is the highest transition temperature for the Yb-based heavy fermion compounds. In contrast, the resistivity is insensitive to pressure below $P_c$ and exhibits the $T$-linear behavior in the temperature range between 2 and 20 K. Our results indicate that quantum criticality for $\beta$-YbAlB${}_4$ is also located near $P_{\mathrm{c}}$ in addition to the ambient pressure.

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