Large-N estimates of universal amplitudes of the CP^{N-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 CP^{N-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 CP^1 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).

arXiv comment15 pages

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• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Condensed matter and AdS/CFT
• Universal Signatures of Fractionalized Quantum Critical Points
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Phase diagram of an extended classical dimer model
• Quantum criticality in SU(3) and SU(4) anti-ferromagnets
• Paired electron pockets in the hole-doped cuprates
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Confinement and Deconfinement of Spinons in Two Dimensions
• Velocity of excitations in ordered, disordered and critical antiferromagnets
• Phase structure and phase transitions in a three dimensional SU(2) superconductor
• Multiplicative logarithmic corrections to quantum criticality in three-dimensional dimerized antiferromagnets
• Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
• Thermal valence-bond-solid transition of quantum spins in two dimensions
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
• Correlated valence-bond states
• Phase diagram of the Heisenberg antiferromagnet with four-spin interactions
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Dual dynamic scaling in deconfined quantum criticality
• Z4-U(1) crossover of the order parameter symmetry in a two-dimensional valence-bond-solid
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Quantum criticality at finite temperature for two-dimensional $J{Q}_3$ models on the square and the honeycomb lattices