Ultrametric structure of finite dimensional spin glasses
We discuss numerical experiments that allow to detect an ultrametric structure of the phase space of the 4D spin glasses with quenched random couplings J=±1. We discuss a constrained Monte Carlo method, and systematic problems like finite size effects. We compare our results to the ones we obtain for the mean field Sherrington Kirkpatrick model and by using unconstrained numerical simulations, and we exhibit a very coherent picture.
KeywordsSpin Glass Finite Size Effect Ultrametric Space Triangular Inequality Coherent Picture
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