We show an example of the CQG in Fig. \[local\_pol3\] (a) and \[local\_dens3\] (a), and of the quasi Skyrmion lattice state in Fig. \[local\_pol3\] (b) and \[local\_dens3\] (b). Note that we find, in agreement with Nederveen and Narazov, [@Nederveen] a shrinking of the Skyrmion size as disorder broadening increases. This effect may help explain the appearance of a “tilted plateau” centered around $\nu=1$ in the Knight shift vs. filling factor data. [@Barrett_private] Rare highly disorder regions in the sample may localize and reduce the effective size of the few Skyrmions present at these filling factors. This would allow the bulk of the sample to be fully polarized at $\nu\ne 1$ and give rise to a Knight shift equivalent to the one at $\nu=1$. The plateau is tilted because of the change in fully polarized density as pointed out in Ref. .

Discussion
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We have used the Hartree-Fock approximation to study the competition between interactions and disorder near Landau level filling factor $\nu=1$. At a qualitative level our results can be summarized by the schematic zero-temperature phase diagram shown in Fig. \[phasediag\], which is drawn for the case of small but non-zero Zeeman coupling. Distinct ground states can be distinguished 