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).

15 pages

References in corpus (9)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Scaling in the Fan of an Unconventional Quantum Critical Point
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• First-order phase transition in easy-plane quantum antiferromagnets
• Quantum critical scaling behavior of deconfined spinons

Cited by in corpus (12)

• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• 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
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
• Correlated valence-bond states
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Dual dynamic scaling in deconfined quantum criticality
• 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