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The transition is inferred from the linear density dependence of the $\\gamma$-coefficient of the heat capacity measured in the degenerate region (2 $\\le T \\le$80 mK) below a critical liquid density ($\\rho_{c0}$). Surprisingly, the measured $\\rho_{c0}$ values (0.6$\\sim$0.9 nm$^{-2}$) are nearly the same for all these monolayers in spite of their quite different environments. 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