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arXiv · 2303.16683

The ordinary surface universality class of the three-dimensional O($N$) model

Francesco Parisen Toldin
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Abstract

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the leading bulk scaling correction is suppressed, and finite-size scaling analysis of the fourth cumulant of the surface magnetization, we obtain precise estimates of the scaling dimension of the surface field operator for $N=2,3,4$. We also determine the fixed-point values of two renormalization-group invariant observables, which characterize the finite-size scaling behavior at the ordinary transition.

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Francesco Parisen Toldin. 2023-03-29. The ordinary surface universality class of the three-dimensional O($N$) model. https://doi.org/10.1103/physrevb.108.l020404

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