the interaction strength, is adjusted by the application of gate voltages.

For a particular realization of the disorder potential, particle-hole symmetry is broken in a finite system and is recovered only in the limit of very large $\gamma$. The particle-hole symmetry relation for the global spin polarization is i.e. $(1-\epsilon) P_z(\nu=1-\epsilon)=(1+\epsilon) P_z(\nu=1+\epsilon)$ where $\epsilon
<1$. At large $\gamma$ this relation is approximately satisfied. Also in this limit, the Pontryagan relation between the local density profile and the local spin density [@general] becomes accurate. In the clean limit, the Skyrmion system crystallizes in a square lattice for the filling factors considered here. (The Skyrmion crystal is triangular[@UKmodel_Allan] for $\nu$ very close to 1.) The disordered Skyrmion glass state has very smooth fluctuations of the local spin density, compared to the CQG, although both lattices are pinned by the disorder potential. We remark that quantum fluctuations in Skyrmion positions are not accounted for in HF theory, and it is quite possible that even in this limit the ground state is a liquid rather than a crystal. [@Juanjo] As noted in Ref. it is possible that the broken U(1) symmetry of the Skyrmions orientation order predicted by Hartree-Fock does not survive quantum fluctuations. 