Surface critical behavior of the three-dimensional O(3) model

TL;DR

This study uses high-precision Monte Carlo simulations to analyze surface critical behavior in a 3D O(3) model, revealing a special surface transition and an extraordinary phase with unique correlation decay.

Contribution

The paper provides the first high-precision numerical evidence for a special surface transition and characterizes the associated critical exponents in the 3D O(3) universality class.

Findings

Existence of a special surface transition confirmed.

Critical exponents for the surface transition computed.

Presence of an extraordinary phase with logarithmic correlations established.

Abstract

We report results of high-precision Monte Carlo simulations of a three-dimensional lattice model in the O(3) universality class, in the presence of a surface. By a finite-size scaling analysis we have proven the existence of a special surface transition, computed the associated critical exponents, and shown the presence of an extraordinary phase with logarithmically decaying correlations.