Effect of Elastic Deformations on the Critical Behavior of Disordered Systems with Long-Range Interactions

TL;DR

This paper investigates how elastic deformations influence the critical and tricritical behavior of disordered three-dimensional systems with long-range interactions using a field-theoretic and renormalization-group approach.

Contribution

It introduces a comprehensive analysis of elastic effects on critical phenomena in disordered long-range interacting systems through advanced renormalization-group techniques.

Findings

Elastic deformations alter critical and tricritical behavior.

Critical exponents are explicitly calculated.

Fixed points are identified for different interaction parameters.

Abstract

A field-theoretic approach is applied to describe behavior of three-dimensional, weakly disordered, elastically isotropic, compressible systems with long-range interactions at various values of a long-range interaction parameter. Renormalization-group equations are analyzed in the two-loop approximation by using the Pade-Borel summation technique. The fixed points corresponding to critical and tricritical behavior of the systems are determined. Elastic deformations are shown to changes in critical and tricritical behavior of disordered compressible systems with long-range interactions. The critical exponents characterizing a system in the critical and tricritical regions are determined.