$f$-electron hybridised metallic Fermi surface in magnetic field-induced metallic YbB$_{12}$
The nature of the Fermi surface observed in the recently discovered family of unconventional insulators starting with SmB$_6$ and subsequently YbB$_{12}$ is a subject of intense inquiry. Here we shed light on this question by comparing quantum oscillations between the high magnetic field-induced metallic regime in YbB$_{12}$ and the unconventional insulating regime. In the field-induced metallic regime beyond 47 T, we find prominent quantum oscillations in the contactless resistivity characterised by multiple frequencies up to at least 3000 T and heavy effective masses up to 17 $m_\text{e}$, characteristic of an $f$-electron hybridised metallic Fermi surface. The growth of quantum oscillation amplitude at low temperatures in electrical transport and magnetic torque in insulating YbB$_{12}$ is closely similar to the Lifshitz-Kosevich low temperature growth of quantum oscillation amplitude in field-induced metallic YbB$_{12}$, pointing to an origin of quantum oscillations in insulating YbB$_{12}$ from in-gap neutral low energy excitations; similar moderately heavy quasiparticle effective masses are measured for a comparable range of multiple quantum oscillations below 1000 T observed in both insulating regime and metallic regimes. The heavy Fermi surface character we observe to be retained in the high magnetic field-induced metallic regime points to only partial dehybridisation that occurs in this magnetic field regime due to the unique character of YbB$_{12}$ where, in contrast to SmB$_6$, hybridisation occurs between two (rather than one) partially filled conduction electron bands and the $f$-electron band.
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