Hall effect on nontrivial quadrupole order in quasi-kagome compound URhSn

Abstract

This study focuses on the transport properties of the quasi-kagome compound URhSn, which exhibits successive phase transitions at TC =16 K (ferromagnetic phase) and TO =54 K (intermediate phase). A large anomalous Hall component is present along the easy-magnetization axis (H|| [0001]), and the Hall resistivity shows very complex temperature- and field-dependence, with a sign reversal at low temperatures. The Hall resistivity exhibits a nonlinear and unusual field-dependence. Interestingly, there exists an unusual Hall component that is not proportional to the magnetic susceptibility for H || [0001] in both the intermediate and ferromagnetic states. These results reveal unconventional transport properties of URhSn, providing important insights into nontrivial multipolar phases in 5f- electron systems.

Figures (4)

• Figure 1: (Color online) (a) The temperature dependence of the Hall resisitivity of URhSn, measured at 2, 4, and 9 T applied along the $H$$||$$[0001]$. The arrow indicates the nontrivial order at $T_{\rm O}$ in 9 T. (b) The microfabricated URhSn sample with a Hall-bar geometry. (c) The temperature dependence of the Hall resisitivity of microfabricated URhSn, measured at 2 T applied along the hexagonal $[0001]$ axis.
• Figure 2: (Color online) $\rho_{\rm H}$ as a function of magnetic field apllied along $[0001]$ measured at $T$ = 4, 17, 20, 25, 45, 50, 52, and 60 K.
• Figure 3: (Color online) $\rho_{\rm H}/B$ as a function of $M/B$ in magnetic fields along $[0001]$ measured at (a) ferromagnetic state ($T$ = 4 K) and (b) non-trivial ordered state ($T$ = 20 and 25 K), respectively. The red line indicates the result of linear fitting between 0.4 and 4 T for data at 4 K, and the dashed lines are guides where $\rho_{\rm H}/B$ is proportional to $M/B$ in the intermediate phase.
• Figure 4: (Color online) (a) $R_{\rm H} \equiv \rho_{\rm H}/ B$ vs. $\rho M$ plot for $\rho_{\rm H}(T)$ data measured at 4 T. (b) $(R_{\rm H} - R_0 ) B/ \rho M$ of URhSn as a function of $\rho$ applied along the easy-magnetization axis $[0001]$ measured at 4 T, where $R_0 = -0.09$ [$\mu \Omega$cm/T] was assumed. Here, the dashed line indicates the guide to the eyes.