for different values of temperature and $l$, for $\mu=250$ meV and $p=1$ (maxima shift).

As we can see, the shift $\delta$ clearly depends on the LL $l$ and thus on the magnetic field. It increases with the temperature and decreases with the magnetic field. This means that for non zero temperature, the MO are not anymore periodic in $1/B$. Indeed, $\delta$ as defined is always measured from the position of the peaks at zero temperature, whose distance between one another is always the same and identical to $1/\omega$ (the period). Consequently, if at $T\neq0$ the shift $\delta_{l}$ is not equal for all $l$, then the extrema separation will not be constant and thus not periodic as a function of $1/B$. Nevertheless, it should be notice that this effect is very small, because for close $l_{1}$ and $l_{2}$ one usually has $\left|\delta_{1}-\delta_{2}\right|\ll1/\omega$. On the other hand, in figure \[fig7\](b) we see that for the cases $l=30$ and $l=40$, the shift $\delta$ reaches an steady value of about $\delta\sim5.3\times10^{-3}\unit{T^{-1}}$. This means that the extrema in the MO will tend to be located between the peaks at zero temperature and the zeros in the magnetization. Indeed, the zeros in the MO occur at 