Quantum Oscillation from in-gap states in Kondo insulators

Recent experiments on quantum oscillation in heavy fermion materials, such as SmB6 and YbB12, has gained great many interests in the community of strongly correlated electrons. Its physical origin has been hotly debated.

In this talk, we present the most direct explanation to this novel phenomenon––quantum oscillation comes from in-gap quasiparticles. The quantum oscillation found in these narrow gap insulators, where the scattering rate controls Lifshitz-Kosevich (LK) factor instead of Dingle factor, is quite the opposite to the case of normal metals, where the scattering rate controls Dingle factor instead of LK factor. This novel result is an important prediction of our theory and differs clearly with other theories. We provide an analytical formula that can be used by experimentalists to fit and interpret their data. Our calculation based on the ARPES data agrees very well with the quantum oscillation experiments.