Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings

Details Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings

2007-07-03

arxiv.org/abs/0707.0480v3

Phys. Rev. Lett. 100, 177203 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures. A major typo error in formula (8) has been corrected

Scientific paper

10.1103/PhysRevLett.100.177203

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with respect to temperature perturbations and do not belong to any critical line in the dilution-temperature plane. We discuss implications of the presence of such spurious unstable fixed points on the use of optimization algorithms, and we show how entropic effects should be taken into account to obtain the right physical behavior and critical points.

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