# Theory of Quantum Oscillations of Magnetization in Kondo Insulators

## TL;DR

This paper investigates quantum oscillations of magnetization in Kondo insulators, revealing Lifshitz-like Fermi surface inversions that cause de Haas-van Alphen oscillations even in insulating states.

## Contribution

It introduces a theoretical framework showing quantum oscillations in Kondo insulators due to quasiparticle dispersion inversions, expanding understanding of magnetic responses in correlated insulators.

## Key findings

- Oscillations occur from intermediate to weak Kondo coupling.
- Oscillations are linked to Lifshitz-like inversion of quasiparticle dispersion.
- Predicted similar oscillations in spin-density wave insulators.

## Abstract

The Kondo lattice model of spin-1/2 local moments coupled to the conduction electrons at half-filling is studied for its orbital response to magnetic field on bipartite lattices. Through an effective charge dynamics, in a canonical representation of electrons that appropriately describes the Kondo insulating ground state, the magnetization is found to show de Haas-van Alphen oscillations from intermediate to weak Kondo coupling. These oscillations are ascribed to Lifshitz-like inversion of a dispersion of the gapped quasiparticles, whose chemical potential surface is measured by the oscillation frequency. Such oscillations are also predicted to occur in spin-density wave insulators.