Temperature chaos as a logical consequence of the reentrant transition in spin glasses

TL;DR

This paper demonstrates that temperature chaos in spin glasses naturally follows from the reentrant transition phenomenon within the Edwards-Anderson model, revealing a deep mathematical connection between these effects.

Contribution

It introduces a generalized formulation of the Edwards-Anderson model that links reentrant transitions to temperature chaos, providing a new theoretical insight into spin glass physics.

Findings

Temperature chaos is shown to be a logical consequence of reentrance.

A new mathematical structure relating reentrance and chaos is uncovered.

The results extend understanding beyond mean-field theory.

Abstract

Temperature chaos is a striking phenomenon in spin glasses, where even slight changes in temperature lead to a complete reconfiguration of the spin state. Another intriguing effect is the reentrant transition, in which lowering the temperature drives the system from a ferromagnetic phase into a less ordered spin-glass or paramagnetic phase. In the present paper, we reveal an unexpected connection between these seemingly unrelated phenomena in the finite-dimensional Edwards-Anderson model of spin glasses by introducing a generalized formulation that incorporates correlations among disorder variables. Assuming the existence of a spin glass phase at finite temperature, we establish that temperature chaos arises as a logical consequence of reentrance in the Edwards-Anderson model. Our findings uncover a previously hidden mathematical structure relating reentrance and temperature chaos, offering a new perspective on the physics of spin glasses beyond the mean-field theory.