Spin glass overlap barriers in three and four dimensions

Details Spin glass overlap barriers in three and four dimensions Spin glass overlap barriers in three and four dimensions

1999-10-21

arxiv.org/abs/cond-mat/9910323v2

Phys. Rev. B61 (2000) 12143-12150

Physics

Condensed Matter

Disordered Systems and Neural Networks

20 pages, Latex, 12 Postscript figures, revised version to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.12143

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 $F^q_B$ which are visible in the probability density $P_J(q)$ 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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