Absence of quantum oscillations in spin magnetization of HgTe

Magnetization (M) of HgTe, a non-superconducting and topological insulator at ambient pressure, has been calculated by using the mean field theory (MFT) and three different levels of perturbation in the exchange interaction. The spin distribution of Te solely controls the total magnetic contribution which exhibits no oscillating behavior as a function of 1/H even at a temperature of 200.0 mK and magnetic field of 25 T. Nonlinearity in M (H) arises for a suitable perturbation and lower T. The asymmetric nature of M (H) reveals that magnetic fluctuations are unequal to the polarity of the field. Uneven pinning of spins in HgTe in H may suppress the quantum fluctuations. Variations of the spin susceptibility with T exhibit peaks associated with magnetic phase transitions. However, peaks are not related to the quantum oscillations even in the presence of the perturbation. Spin distribution in a nanosized system of HgTe does now exhibit quantum oscillations down to 200 mK and 25 T within the framework of the MFT.