Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-07-12
J. Stat. Mech. P02002 (2011)
Physics
Condensed Matter
Disordered Systems and Neural Networks
15 pages, 6 figures. v3: added a phase diagram for ferromagnetically biased couplings
Scientific paper
10.1088/1742-5468/2011/02/P02002
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.
Angelini Maria Chiara
Ricci-Tersenghi Federico
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