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Skyrme crystal versus Skyrme liquid

Skyrme crystal versus Skyrme liquid

We address the quantum melting phase transition of the Skyrme crystal. Based on generic sum rules for two-dimensional, isotropic electron quantum liquids in the lowest Landau level, we propose analytic expressions for the pair distribution functions of spin-polarized and spin-unpolarized liquid phases at filling factors $2/3\leq\nu\leq 1$. From the pair …