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

TL;DR

This paper investigates the critical behavior of isotropic systems with strong dipole-dipole interactions using three-loop renormalization-group calculations, providing numerical results that support the model's applicability.

Contribution

It presents the first three-loop analytical expressions for critical exponents in three-dimensional dipole-dipole systems with dominant interactions.

Findings

Numerical critical exponents close to O(3)-theory predictions

Resummation confirms the model's relevance for strong dipole interactions

Analytical three-loop expressions enhance understanding of critical phenomena

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 $O(3)$-theory predictions, justifying the applicability of such a simplified model to systems with strong dipole-dipole interaction.