Large-N estimates of universal amplitudes of the CPN-1 theory and comparison with the JQ model
Abstract
We present computations of certain finite-size scaling functions and universal amplitude ratios in the large-N limit of the CPN-1 field theory. We pay particular attention to the uniform susceptibility, the spin stiffness and the specific heat. Field theoretic arguments have shown that the long-wavelength description of the phase transition between the Neel and valence bond solid states in square lattice S=1/2 anti-ferromagnets is expected to be the non-compact CP1 field theory. We provide a detailed comparison between our field theoretic calculations and quantum Monte Carlo data close to the Neel -VBS transition on a S=1/2 square-lattice model with competing four-spin interactions (the JQ model).
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