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We probe quantum oscillations in nodal line semimetals (NLSM) by consideringa NLSM continuum model under strong magnetic field and report thecharacteristics of the Landau level spectra and the fluctuations in the Fermilevel as the field in a direction perpendicular to the nodal plane is variedthrough. Based on the results on parallel magnetization, we demonstrate thegrowth of quantum oscillation with field strength as well as its constancy inperiod when plotted against 1/B. We find that the density of states which showseries of peaks in succession, witness bifurcation of those peaks due to Zeemaneffect. For field normal to nodal plane, such bifurcations are discernible onlyif the electron effective mass is considerably smaller than its free value,which usually happens in these systems. Though a reduced effective mass $m^*$causes the Zeeman splitting to become small compared to Landau level spacing,experimental results indicate a manyfold increase in the Lande $g$ factor whichagain amplifies the Zeeman contribution. We also consider magnetic field in thenodal plane for which the density of state peaks do not repeat periodicallywith energy anymore. The spectra become more spread out and the Zeemansplittings become less prominent. We find the low energy topological regime,that appears with such in-plane field set up, to shrink further with reduced$m^*$ values. However, such topological regime can be stretched out in casethere are smaller Fermi velocities for electrons in the direction normal to thenodal plane.

Fermi Level Fluctuations, Reduced Effective Masses and Zeeman Effect during Quantum Oscillations in Nodal Line Semimetals