Entropic long range order in a 3D spin glass model

Abstract

We uncover a new kind of entropic long range order in finite dimensional spin glasses. We study the link-diluted version of the Edwards-Anderson spin glass model with bimodal couplings (J=+/-1) on a 3D lattice. By using exact reduction algorithms, we prove that there exists a region of the phase diagram (at zero temperature and link density low enough), where spins are long range correlated, even if the ground states energy stiffness is null. In other words, in this region twisting the boundary conditions cost no energy, but spins are long range correlated by means of pure entropic effects.

15 pages, 6 figures. v3: added a phase diagram for ferromagnetically biased couplings

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Cited by in corpus (3)

• Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass
• Chaos and universality in two-dimensional Ising spin glasses
• The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow