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Universal Scaling of the Neel Temperature of Near-Quantum-Critical Quasi-Two-Dimensional Heisenberg Antiferromagnets | D. X. Yao
; A. W. Sandvik
; | Date: |
13 Jun 2006 | Subject: | Strongly Correlated Electrons; Statistical Mechanics | Abstract: | We use a quantum Monte Carlo method to calculate the Neel temperature T_N of weakly coupled S=1/2 Heisenberg antiferromagnetic layers consisting of coupled ladders. This system can be tuned to different two-dimensional scaling regimes for 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 staggered susceptibility of an isolated layer, J’ the inter-layer coupling, and z_2=2 the layer coordination number. With a renormalized z_2, we find that this relationship applies not only in the renormalized-classical regime, as shown previously, but also in the quantum-critical regime and part of the quantum-disordered regime. The renormalization is nearly constant; k_2~ 0.65-0.70. We also study other universal scaling functions. | Source: | arXiv, cond-mat/0606341 | Services: | Forum | Review | PDF | Favorites |
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