English

Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study

Statistical Mechanics 2022-11-09 v1

Abstract

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for critical exponents in the limit of dominating dipole-dipole forces. Resummation of the series obtained provides numerical values close to O(3)O(3)-theory predictions, justifying the applicability of such a simplified model to systems with strong dipole-dipole interaction.

Keywords

Cite

@article{arxiv.2204.02838,
  title  = {Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study},
  author = {A. Kudlis and A. Pikelner},
  journal= {arXiv preprint arXiv:2204.02838},
  year   = {2022}
}
R2 v1 2026-06-24T10:39:53.826Z