Influence of Striction Effects on the Multicritical Behavior of Homogeneous Systems

TL;DR

This paper presents a field-theoretical analysis of how elastic strains influence multicritical behavior in homogeneous systems with two order parameters, showing a transition from bicritical to tetracritical points and identifying various multicritical states.

Contribution

It introduces a detailed renormalization group analysis of elastic effects on multicritical points in homogeneous systems, extending understanding of phase transition behavior.

Findings

Elastic strains induce a change from bicritical to tetracritical behavior.

Multiple types of multicritical points are identified due to strain effects.

Renormalization group equations reveal fixed points corresponding to different multicritical behaviors.

Abstract

A field-theoretical description of the behavior of homogeneous, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. For three-dimensional Ising-like systems, a similar description is performed in the two-loop approximation in three dimensions. The renormalization group equations are analyzed, and fixed points corresponding to different types of multicritical behavior are determined. It is shown that the effect of elastic strains causes a change from a bicritical behavior to a tetracritical one and leads to the appearance of a wide variety of multicritical points.