Deconfined quantum criticality and logarithmic violations of scaling from emergent gauge symmetry

Abstract

We demonstrate that the low-energy effective theory for a deconfined quantum critical point in $d=2+1$ dimensions contains a leading order contribution given by the Faddeev-Skyrme model. The Faddeev-Skyrme term is shown to give rise to the crucial Maxwell term in the CP${}^1$ field theory governing the deconfined quantum critical point. We derive the leading contribution to the spin stiffness near the quantum critical point and show that it exhibits a logarithmic correction to scaling of the same type as recently observed numerically in low dimensional models of quantum spin systems featuring a quantum critical point separating an antiferromagnetically ordered state from a valence bond solid state. These corrections, appearing away from upper or lower critical dimensions, reflect an emergent gauge symmetry of low-dimensional antiferromagnetic quantum spin systems.

5 pages, 1 figure; v2: Text improved. The final third of the preprint has been thoroughly revised

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Cited by in corpus (8)

• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets
• Deconfined criticality and bosonization duality in easy-plane Chern-Simons two-dimensional antiferromagnets
• Duality of a compact topological superconductor model and the Witten effect
• Numerical studies of various Neel-VBS transitions in SU(N) anti-ferromagnets
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions