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

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.

6 pages, 3 figures, primarly based on arXiv:2012.00039. Proceedings of CCP2021: XXXII IUPAP Conference on Computational Physics

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• Critical Casimir Effect: Exact Results
• Quantum extraordinary-log universality of boundary critical behavior