# Nonordinary criticality at the edges of planar spin-1 Heisenberg antiferromagnets

## TL;DR

This paper investigates nonordinary quantum critical correlations at the edges of two-dimensional spin-1 Heisenberg antiferromagnets, revealing similarities to spin-1/2 systems and analyzing the crossover to one-dimensional behavior.

## Contribution

It demonstrates nonordinary edge criticality in spin-1 systems and compares it to spin-1/2 cases using quantum Monte Carlo and mean-field theories.

## Key findings

- Edge spins exhibit nonordinary quantum critical correlations.
- Similarities between spin-1 and spin-1/2 edge behaviors are observed.
- Crossover to one-dimensional behavior is characterized.

## Abstract

Dangling edge spins of dimerized two-dimensional spin-1 Heisenberg antiferromagnets are shown to exhibit nonordinary quantum critical correlations, akin to the scaling behavior observed in recently explored spin-1/2 systems. Based on large-scale quantum Monte Carlo simulations, we observe remarkable similarities between these two cases, and also examine the crossover to the fundamentally distinct behavior in the one-dimensional limit of strongly coupled edge spins. We complement our numerical analysis by a cluster mean-field theory that encompasses the qualitatively similar behavior for the spin-1 and the spin-1/2 case, and its dependence on the spatial edge spin configuration in a generic way.