Crossovers in the Two Dimensional Ising Spin Glass with ferromagnetic next-nearest-neighbor interactions

TL;DR

This paper uses extensive simulations and analytical methods to study phase transitions in a 2D Ising spin glass with ferromagnetic next-nearest-neighbor interactions, revealing multiple crossover behaviors.

Contribution

It provides new insights into the phase behavior of 2D Ising spin glasses with next-nearest-neighbor interactions, identifying multiple crossover phenomena.

Findings

Crossover from ferromagnetic to spin glass order observed.

Evidence of a second crossover to paramagnetic phase.

Analytical and numerical methods complement each other.

Abstract

By means of extensive computer simulations we analyze in detail the two dimensional $\pm J$ Ising spin glass with ferromagnetic next-nearest-neighbor interactions. We found a crossover from ferromagnetic to ``spin glass'' like order both from numerical simulations and analytical arguments. We also present evidences of a second crossover from the ``spin glass'' behavior to a paramagnetic phase for the largest volume studied.