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Boundary critical behavior of the three-dimensional Heisenberg universality class

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arxiv 2012.00039 v3 pith:ET4GVZSS submitted 2020-11-30 cond-mat.stat-mech cond-mat.str-elhep-th

Francesco Parisen Toldin This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-th
keywords behaviorboundarycriticalphaseclassheisenbergthree-dimensionaluniversality
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We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk scaling corrections are suppressed, we prove the existence of a special phase transition, with unusual exponents, and of an extraordinary phase with logarithmically decaying correlations. These findings contrast with na\"ive arguments on the bulk-surface phase diagram, and allow us to explain some recent puzzling results on the boundary critical behavior of quantum spin models.

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Cited by 4 Pith papers

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    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

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