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The de Haas-van Alphen effect (dHvAe), describing oscillations of themagnetization as a function of magnetic field, is commonly assumed to be adefinite sign for the presence of a Fermi surface (FS). Indeed, the effectforms the basis of a well-established experimental procedure for accuratelymeasuring FS topology and geometry of metallic systems, with parameterscommonly extracted by fitting to the Lifshitz-Kosevich (LK) theory based onFermi liquid theory. Here we show that, in contrast to this canonicalsituation, there can be quantum oscillations even for band insulators ofcertain types. We provide simple analytic formulas describing the temperaturedependence of the quantum oscillations in this setting, showing strongdeviations from LK theory. We draw connections to recent experiments anddiscuss how our results can be used in future experiments to accuratelydetermine e.g. hybridization gaps in heavy fermion systems.

Quantum oscillations without a Fermi surface and the anomalous de Haas-van Alphen effect