Spin vs. bond correlations along dangling edges of quantum critical magnets

TL;DR

This study investigates the unusual edge spin and bond correlations in two-dimensional quantum critical antiferromagnets, providing numerical data that challenge existing theories and deepen understanding of surface phenomena in quantum systems.

Contribution

It offers large-scale quantum Monte Carlo results on edge correlations in quantum critical magnets, highlighting discrepancies with current theoretical predictions.

Findings

Bond correlations differ significantly between spin-1/2 and spin-1 cases.

Numerical results partially support recent theoretical predictions.

Findings impose new constraints on understanding surface phenomena in quantum critical systems.

Abstract

Dangling edge spins of two-dimensional quantum critical antiferromagnets display strongly enhanced spin correlations with scaling dimensions that fall outside of the classical theory of surface critical phenomena. We provide large-scale quantum Monte Carlo results for both spin and bond correlation functions for the case of the columnar dimer model in particular. Unlike the spin correlations, we find the bond correlations to differ starkly between the spin-1/2 and spin-1 case. Furthermore, we compare the corresponding scaling dimensions to recent theoretical predictions. These predictions are, in part, supported by our numerical data, but cannot explain our findings completely. Our results thus put further constraints on completing the understanding of dangling edge correlations, as well as surface phenomena in strongly-correlated quantum systems in general.