A theoretical study of magnetic oscillations in two-dimensional Kondo insulators

We use large-N theory to study the behavior of normal and topological Kondo insulators under weak to moderate magnetic fields. The local moments are assumed to form a U(1) spin liquid which are Kondo coupled to the conduction electrons.Employing a self-consistent mean-field calculation, we determine the Kondo hybridization and spinon hopping, revealing a bulk-homogenous solution under zero to low magnetic fields.In both normal and topological Kondo insulators, the internal gauge field of spinons is locked to the external field, producing magnetic oscillations that resemble two-band non-interacting systems. However, the temperature dependence of the oscillations differs from the Lifshitz–Kosevich(LK) theory due to the dependence of the hybridization to the magnetic field. Larger magnetic field results in Kondo breakdown, where the magnetic oscillation is solely due to the decoupled conduction electrons.