Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality
Jovanka Lukic, Enzo Marinari, Olivier C. Martin, Silvia Sabatini
TL;DR
This paper investigates temperature chaos in 2D Ising spin glasses with bimodal couplings, providing exact computations that reveal chaotic behavior and quantify its characteristics, supporting universality in such systems.
Contribution
It offers the first exact analysis of temperature chaos in 2D bimodal Ising spin glasses, including chaos exponent and domain wall fractal dimension.
Findings
Chaotic behavior detected in domain wall free energy
Chaos exponent quantified
Fractal dimension of domain walls determined
Abstract
We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We study two temperature correlators from the total free energy and from the domain wall free energy: in the second case we detect a chaotic behavior. We determine and discuss the chaos exponent and the fractal dimension of the domain walls.
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