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We use a quantum Monte Carlo method to calculate the Neel temperature T_N ofweakly coupled S=1/2 Heisenberg antiferromagnetic layers consisting of coupledladders. This system can be tuned to different two-dimensional scaling regimesfor T > T_N. In a single-layer mean-field theory,\chi_s^{2D}(T_N)=(z_2J')^{-1}, where \chi_s^{2D} is the exact staggeredsusceptibility of an isolated layer, J' the inter-layer coupling, and z_2=2 thelayer coordination number. With a renormalized z_2, we find that thisrelationship applies not only in the renormalized-classical regime, as shownpreviously, but also in the quantum-critical regime and part of thequantum-disordered regime. The renormalization is nearly constant; k_2 ~0.65-0.70. We also study other universal scaling functions.Comment: 4 pages, 4 figure

Universal scaling of the Néel temperature of near-quantum-critical quasi-two-dimensional Heisenberg antiferromagnets