We study the effect of interactions on density of states (SdH) and magnetization (dHvA) quantum oscillations (QOs) in Kondo insulators. We consider a hybridization gap insulator and incorporate interactions among the heavy f-electrons using a periodic Anderson model with a Sachdev-Ye-Kitaev (SYK)-like interactions at each site. This model is exactly solvable in the large-N limit. We compute transport to ensure that the system remains insulating at small temperatures. We find that the QO frequencies are not renormalized by interactions: the dHvA oscillations occur at the unhybridized frequency F₀ while the SdH oscillations persist at F₀ ± δF, corresponding to the conduction and valence band edges, just as in the non-interacting system [1]. The QO amplitudes show a remarkable difference: the dHvA amplitude is essentially unaffected by interaction, while the SdH amplitude is strongly enhanced. We will present an analytical understanding of our numerical results.

[1]: A. Panda, S. Banerjee, M. Randeria; Proc. Nat. Acad. Sci. 119, e2208373119 (2022).