Inherent Structures in m-component Spin Glasses

TL;DR

This study numerically investigates the properties of inherent structures in three-dimensional m-component vector spin glasses at infinite temperature, revealing how increasing m reduces minima and affects correlations and dynamics.

Contribution

It provides new insights into how the number of components m influences the energy landscape and dynamics of vector spin glasses.

Findings

Number of minima decreases as m increases

Low m exhibits small correlations and rapid dynamics arrest

High m shows growing correlations and slower convergence

Abstract

We observe numerically the properties of the infinite-temperature inherent structures of m-component vector spin glasses in three dimensions. An increase of m implies a decrease of the amount of minima of the free energy, down to the trivial presence of a unique minimum. For little m correlations are small and the dynamics are quickly arrested, while for larger m low-temperature correlations crop up and the convergence is slower, to a limit that appears to be related with the system size.