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The canonical understanding of quantum oscillation in metals is challenged by the observation of de Haas-van Alphen effect in an insulator, SmB$_{6}$ [Tan \emph{et al}, Science {\bf349}, 287 (2015)].
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This argument assumes a fixed chemical potential. In general, the chemical potential must shift to preserve the electron density, but its variation does not cancel the quantum oscillation. In particular, for the two-band model studied in this work, the chemical potential does not shift at all
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