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

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Kudlis, A, Pikelner, A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.04.2022
Subjects
Dipole interactions
Physics - Statistical Mechanics
Three dimensional analysis
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Summary: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 \(O(3)\)-theory predictions, justifying the applicability of such a simplified model to systems with strong dipole-dipole interaction.
ISSN:2331-8422
DOI:10.48550/arxiv.2204.02838