De Haas–van Alphen effect and a giant temperature peak in the heavy fermion SmB$_6$ compound

In this paper we suggest a possible explanation of the giant temperature peak in the amplitude of the de Haas–van Alphen oscillations observed at very low temperatures in insulating SmB$_6$ system. Our theoretical model consists of two fermions with particle-like dispersion but with different masses, one much heavier than the other, which hybridize with each other to open up a gap at their degeneracy point. As a result of the hybridization a heavy-fermion hybrid appears at the Fermi level. Our results strongly suggest that it is exactly this heavy-fermion hybrid which results in the giant temperature peak. In addition we propose a scenario when this hybrid has edge states.