Bond chaos in spin glasses revealed through thermal boundary conditions

TL;DR

This paper investigates bond chaos in 3D spin glasses using thermal boundary conditions and population annealing Monte Carlo, revealing that bond chaos is stronger and shares scaling properties with temperature chaos.

Contribution

It introduces a generalized population annealing Monte Carlo method with thermal boundary conditions to study bond chaos in spin glasses, highlighting the relationship between bond and temperature chaos.

Findings

Bond and temperature chaos share the same scaling exponents.

Bond chaos is stronger than temperature chaos.

Thermal boundary conditions effectively reveal chaotic phenomena.

Abstract

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of chaos in spin glasses is of much importance. The use of thermal boundary conditions is an effective approach to study chaotic phenomena. Here, we generalize population annealing Monte Carlo, combined with thermal boundary conditions, to study bond chaos due to small perturbations in the spin-spin couplings of the three-dimensional Edwards-Anderson Ising spin glass. We show that bond and temperature-induced chaos share the same scaling exponents and that bond chaos is stronger than temperature chaos.