Finite temperature phase transition in the two-dimension Randomly Coupled Ferromagnet

TL;DR

This paper demonstrates through simulations and physical reasoning that a 2D Ising model with mixed random and ferromagnetic interactions exhibits a phase transition at a finite temperature.

Contribution

It provides evidence for a finite-temperature phase transition in a 2D Ising system with mixed interaction types, which was previously uncertain.

Findings

Phase transition occurs at non-zero temperature.

Random sign interactions coexist with ferromagnetic second neighbors.

Extensive simulations support the phase transition evidence.

Abstract

We show using extensive simulation results and physical arguments that an Ising system on a two dimensional square lattice, having interactions of random sign between first neighbors and ferromagnetic interactions between second neighbors, presents a phase transition at a non-zero temperature.