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We investigate the classical ground state configurations of a collection ofskyrmions in the limit of vanishing L\'ande $g$ factor. We show that in thislimit, the skyrmions which are large and overlapping, behave qualitativelydifferently from small skyrmions. We investigate the system in various regimesof spin stiffness. We find that in all regimes, at $g=0$, the ground stateconfiguration is a rectangular skyrmion lattice with N\'eel orientationalordering. The charge distribution has a higher symmetry of a face-centeredrectangular lattice and the $z$-component of the spin polarization is zero. Wealso present general argument for the vanishing of spin polarization at $g=0$at finite temperature and in the presence of disorder and discuss someexperimental consequences of our results.Comment: Latex file, 15 figures, To appear in Physical Review

physical review. b, condensed matter

Quantum Hall skyrmion lattices at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mi>≈</mml:mi><mml:mn>0</mml:mn></mml:math>

Quantum Hall skyrmion lattices atg≈0