Search for Deconfined Criticality: SU(2) D\'{e}j\`{a} Vu

TL;DR

This study uses Monte Carlo simulations to investigate the nature of the deconfined critical point in SU(2) models, finding evidence that the transition is likely weakly first order rather than continuous, challenging previous numerical conclusions.

Contribution

It provides new simulation evidence suggesting that the SU(2) deconfined critical point exhibits a weak first order transition, contrary to earlier claims of continuous criticality.

Findings

Violations of scale invariance observed at the transition

Runaway renormalization flow indicates a weak first order transition

Previous numerical studies may have mischaracterized the transition nature

Abstract

Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first order transition, similar to the case of U(1)$\times$U(1) symmetry. Our results imply that recent numeric studies of the N\`{e}el antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.