Effect of Elastic Deformations on the Critical Behavior of Three-Dimensional Systems with Long-Range Interaction

TL;DR

This paper investigates how elastic deformations influence the critical and multicritical behavior of three-dimensional long-range interacting systems using a field-theoretical approach and renormalization group analysis.

Contribution

It provides a two-loop approximation analysis of compressible Ising systems with long-range interactions, revealing the impact of elastic deformations on critical phenomena.

Findings

Elastic deformations alter the critical behavior of long-range systems.

Fixed points indicating phase transitions are affected by elastic effects.

The study uses Pade-Borel resummation in a two-loop RG framework.

Abstract

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Pade-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points that determine the critical behavior of the system are found. It is shown that the effect of elastic deformations on a system with a long-range interaction causes changes in its critical, as well as multicritical, behavior.