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MHz conductivity, torque magnetometer and magnetization measurements arereported on single crystals of CeOs$_4$Sb$_{12}$ and NdOs$_4$Sb$_{12}$ usingtemperatures down to 0.5~K and magnetic fields of up to 60~tesla. Thefield-orientation dependence of the de Haas-van Alphen and Shubnikov-de Haasoscillations is deduced by rotating the samples about the $[010]$ and$[0\bar{1}1]$ directions. The results indicate that NdOs$_4$Sb$_{12}$ has asimilar Fermi surface topology to that of the unusual superconductorPrOs$_4$Sb$_{12}$, but with significantly smaller effective masses, supportingthe importance of local phonon modes in contributing to the low-temperatureheat capacity of NdOs$_4$Sb$_{12}$. By contrast, CeOs$_4$Sb$_{12}$ undergoes afield-induced transition from an unusual semimetal into a high-field,high-temperature state characterized by a single, almost sphericalFermi-surface section. The behavior of the phase boundary and comparisons withmodels of the bandstructure lead us to propose that the field-induced phasetransition in CeOs$_4$Sb$_{12}$ is similar in origin to the well-known$\alpha-\gamma$ transition in Ce and its alloys.

Fermi-surface topologies and low-temperature phases of the filled Skutterudite compounds CeOs$_4$Sb$_{12}$ and NdOs$_4$Sb$_{12}$