Griffiths phases in structurally disordered CeRhSn: Experimental evidence and theoretical modeling

Our report paves the way for insight into a structural disorder and its impact on the physical properties of strongly correlated electron systems (SCESs). In a critical regime, each perturbation, e.g., disorder due to structural defects or doping, can have a significant effect on the nature of the quantum macrostate of these materials. For a select group of SCESs, we have empirically documented the Griffiths singularity, as exemplified by CeRhSn, which exhibits non-Fermi-liquid characteristics in susceptibility and specific heat. Our numerical analysis has supported the Griffiths phase scenario for CeRhSn and has revealed that its dc magnetic susceptibility is strongly dependent on the size of inhomogeneous magnetic particles that form in these materials. In the presence of strong disorder, we have proposed a magnetic phase diagram for CeRhSn. The classical Griffiths phase has been identified in the temperature range below the onset temperature of ${T}_{G}\ensuremath{\sim}220\phantom{\rule{0.16em}{0ex}}\mathrm{K}$, while the quantum Griffiths phase with non-Fermi-liquid behavior emerges below the quantum critical temperature of ${T}_{Q}\ensuremath{\sim}6\phantom{\rule{0.16em}{0ex}}\mathrm{K}$. The phase diagram developed in this study bears notable similarities to the scenario previously proposed by Vojta for magnetic quantum phase transitions in disordered metals.