Effect of Elastic Deformations on the Multicritical Behavior of Disordered Systems

TL;DR

This paper uses field theory and renormalization group analysis to study how elastic deformations influence the multicritical behavior of disordered, elastically isotropic systems with two order parameters.

Contribution

It introduces a two-loop approximation analysis of disordered elastic systems at multicritical points, revealing how elastic deformations alter their phase behavior.

Findings

Elastic deformations modify tetracritical behavior regimes.

Fixed points depend on the interaction between order parameters and deformation.

The study provides a detailed RG flow analysis for these systems.

Abstract

A field-theoretical description of the behavior of disordered, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. The description is performed in the two-loop approximation in three dimensions . The renormalization group equations are analyzed, and the fixed points corresponding to different types of multicritical behavior are determined. It is shown that the effect of elastic deformations causes a change in the regime of the tetracritical behavior of disordered systems because of the interaction of the order parameters through the deformation field.