Effect of Long-Range Interactions on the Multicritical Behavior of Homogeneous Systems

TL;DR

This paper uses a field-theoretic approach and renormalization-group analysis to study how long-range interactions influence multicritical behavior in three-dimensional homogeneous systems, revealing possible transitions between bicritical and tetracritical points.

Contribution

It provides a detailed two-loop renormalization-group analysis of multicritical points considering long-range interactions, identifying conditions for different multicritical behaviors.

Findings

Long-range interactions can induce a change from bicritical to tetracritical behavior.

Fixed points are determined for various multicritical scenarios.

The analysis employs Pade-Borel summation in the two-loop approximation.

Abstract

A field-theoretic approach is applied to describe behavior of homogeneous three-dimensional systems with long-range interactions defined by two order parameters at bicritical and tetracritical points. Renormalization- group equations are analyzed in the two-loop approximation by using the Pade-Borel summation technique. The fixed points corresponding to various types of multicritical behavior are determined. It is shown that effects due to long-range interactions can be responsible for a change from bicritical to tetracritical behavior.