Boundary critical behavior of the three-dimensional Heisenberg universality class
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arXiv
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866910933490597888 |
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| author | Toldin, Francesco Parisen |
| author_facet | Toldin, Francesco Parisen |
| contents | 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 naïve 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_00039 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Boundary critical behavior of the three-dimensional Heisenberg universality class Toldin, Francesco Parisen Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory 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 naïve 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. |
| title | Boundary critical behavior of the three-dimensional Heisenberg universality class |
| topic | Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2012.00039 |