Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group
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| Format: | Preprint |
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2026
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| _version_ | 1866909040827695104 |
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| author | Kalagov, Georgii Lebedev, Nikita |
| author_facet | Kalagov, Georgii Lebedev, Nikita |
| contents | We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization (LPA$^\prime$). The system is governed by the Aharony fixed point, which is scale-invariant but lacks conformal invariance. Our nonperturbative FRG analysis identifies this fixed point and determines its scaling behavior. The resulting critical exponents are found to be close to those of the Heisenberg $O(3)$ universality class, as computed within the same FRG/LPA$^\prime$ framework. This proximity confirms the distinct yet numerically similar nature of the two universality classes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_04313 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group Kalagov, Georgii Lebedev, Nikita Statistical Mechanics We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization (LPA$^\prime$). The system is governed by the Aharony fixed point, which is scale-invariant but lacks conformal invariance. Our nonperturbative FRG analysis identifies this fixed point and determines its scaling behavior. The resulting critical exponents are found to be close to those of the Heisenberg $O(3)$ universality class, as computed within the same FRG/LPA$^\prime$ framework. This proximity confirms the distinct yet numerically similar nature of the two universality classes. |
| title | Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2602.04313 |