Frustration and collectivity in spatial networks

TL;DR

This paper investigates how frustration affects spin-glass transitions in spatial networks, revealing that increased frustration lowers the transition temperature, a phenomenon observed beyond small-world networks.

Contribution

It demonstrates that the reduction of transition temperature due to frustration occurs in spatial networks, extending previous findings beyond small-world network models.

Findings

Increased frustration lowers the spin-glass transition temperature.

The effect is present in spatial networks, not just small-world networks.

Specific heat and susceptibility measurements support the findings.

Abstract

In random networks decorated with Ising spins, an increase of the density of frustrations reduces the transition temperature of the spin-glass ordering. This result is in contradiction to the Bethe theory. Here we investigate if this effect depends on the small-world property of the network. The results on the specific heat and the spin susceptibility indicate that the effect appears also in spatial networks.