to observe the spin splitting in the MO.

MO extrema shift
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Once the temperature is such that $T>T_{s}$ in equation (\[Ts\]), the spin splitting becomes unobservable. Then the MO behave as if the spin splitting is neglected, with the oscillation been around $B=\omega/l$. This is just the usual behavior when the MO are studied in graphene without considering the Zeeman effect. Thus, because we shall take $T>T_{s}$ from now on, we will neglect the spin splitting. Then, what one observe is, essentially, that the MO are broadened and reduced as the temperature increases. This reduction depends on the temperature, as well as the magnetic field and Fermi energy. The higher the magnetic field, the more temperature it takes to reduce the MO, and vice versa. From this pattern we can analyze different parameters in the MO, in which case equation (\[MT\]) will prove useful.

First of all, notice that as the MO are broadened, the maxima and minima of the oscillations shift from $x_{n}\equiv B_{n}^{-1}=n/\omega$ (see equation (\[1/Bi\]), neglecting the spin splitting) to $x_{n}-p\delta$, where $p=1(-1)$ for the maxima (minima) and $\delta=\delta\left(T,B,\mu\right)$ is the shift parameter which in general depends on the three variables $T,\,B$ and $\mu$. For a 