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It is generally believed that quantum oscillations are a hallmark of a Fermisurface and the oscillations constitute the ringing of it. Recently, it wasunderstood that in order to have well defined quantum oscillations you do notonly not need well defined quasiparticles, but also the presence of a Fermisurface is unnecessary. In this paper we investigate such a situation for aninverted insulator from a analytical point of view. Even in the insulatingphase clear signatures of quantum oscillations are observable and we give afully analytical formula for the strongly modified Lifshitz-Kosevich amplitudewhich applies in the clean as well as the disordered case at finitetemperatures.

Modification of the Lifshitz-Kosevich formula for anomalous quantum oscillations in inverted insulators