Nature of the spin-glass phase at experimental length scales

Details Nature of the spin-glass phase at experimental length scales Nature of the spin-glass phase at experimental length scales

2010-03-12

arxiv.org/abs/1003.2569v2

J. Stat. Mech. (2010) P06026

Physics

Condensed Matter

Disordered Systems and Neural Networks

48 pages, 19 postscript figures, 9 tables. Version accepted for publication in the Journal of Statistical Mechanics

Scientific paper

10.1088/1742-5468/2010/06/P06026

We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L=32 lattices down to T=0.64 Tc. We demonstrate the relevance of equilibrium finite-size simulations to understand experimental non-equilibrium spin glasses in the thermodynamical limit by establishing a time-length dictionary. We conclude that non-equilibrium experiments performed on a time scale of one hour can be matched with equilibrium results on L=110 lattices. A detailed investigation of the probability distribution functions of the spin and link overlap, as well as of their correlation functions, shows that Replica Symmetry Breaking is the appropriate theoretical framework for the physically relevant length scales. Besides, we improve over existing methodologies to ensure equilibration in parallel tempering simulations.

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