Spin glass overlap barriers in three and four dimensions
Bernd A. Berg, Alain Billoire, Wolfhard Janke
Abstract
For the Edwards-Anderson Ising spin-glass model in three and four dimensions (3d and 4d) we have performed high statistics Monte Carlo calculations of those free-energy barriers FqB which are visible in the probability density PJ(q) of the Parisi overlap parameter q. The calculations rely on the recently introduced multi-overlap algorithm. In both dimensions, within the limits of lattice sizes investigated, these barriers are found to be non-self-averaging and the same is true for the autocorrelation times of our algorithm. Further, we present evidence that barriers hidden in q dominate the canonical autocorrelation times.
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