Abstract
We have recently shown that CeRhSn exhibits non-Fermi-liquid temperature dependences in its low-temperature physical properties. Here we suggest that the non-Fermi-liquid behaviour observed in CexRhSn may be due to the existence of a Griffiths phase in the vicinity of a quantum critical point, based on electrical resistivity, magnetic susceptibility and specific heat measurements carried out on off-stoichiometric CexRhSn alloys. We also discuss the influence of disorder on the low-temperature properties of CexRhSn.