Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
We investigate the effects of anisotropic perturbations in three-dimensional O(N)-symmetric vector models. In order to assess their relevance for the critical behavior, we determine the renormalization-group dimensions of the anisotropic perturbations associated with the first few spin values of the...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
29 September 2011
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2011, Volume: 84, Issue: 12, Pages: 1-14 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.84.125136 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.84.125136 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.84.125136 
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| Author Notes: | Martin Hasenbusch, Ettore Vicari |
| Summary: | We investigate the effects of anisotropic perturbations in three-dimensional O(N)-symmetric vector models. In order to assess their relevance for the critical behavior, we determine the renormalization-group dimensions of the anisotropic perturbations associated with the first few spin values of the representations of the O(N) group, because the lowest spin values give rise to the most important effects. In particular, we determine them up to spin 4 for N=2,3,4, by finite-size analyses of Monte Carlo simulations of lattice O(N) models, achieving a significant improvement of their accuracy. These results are relevant for several physical systems, such as density-wave systems, magnets with cubic symmetry, and multicritical phenomena arising from the competition of different order parameters. |
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| Item Description: | Gesehen am 14.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.84.125136 |