LAUSR

The observation of quantum oscillations in topological Kondo insulators SmB$_6$ and YbB$_{12}$ is a recent puzzling experimental discovery. Quantum oscillations observed in the resistivity and the magnetization are usually explained by the existence of the Fermi surface. However, Kondo insulators do not have a Fermi surface and thus should not show quantum oscillations. By performing dynamical mean field calculations for topologically nontrivial Kondo insulators in a magnetic field, we here clearly show that the interplay between correlations and topology leads to observable quantum oscillations without the necessity of a Fermi surface. Particularly, we show that correlations are essential for the visibility of quantum oscillations in the magnetization and the resistivity of the bulk material. The fundamental mechanism for these quantum oscillations is a combination of correlation effects and Landau levels coming very close to the Fermi energy. This scenario can explain the observation of quantum oscillations in magnetic torque for SmB$_6$ as well as oscillations in the resistivity and the magnetic torque of YbB$_{12}$.