Multi-Overlap Simulations of the $3d$ Edwards-Anderson Ising Spin Glass

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dc.creatorBerg, Bernd A.
dc.creatorJanke, Wolfhard
dc.date1997-12-30
dc.date.accessioned2026-07-07T12:33:11Z
dc.date.available2026-07-07T12:33:11Z
dc.descriptionWe introduce a novel method for numerical spin glass investigations: Simulations of two replica at fixed temperature, weighted such that a broad distribution of the Parisi overlap parameter $q$ is achieved. Canonical expectation values for the entire $q$-range (multi-overlap) follow by re-weighting. We demonstrate the feasibility of the approach by studying the $3d$ Edwards-Anderson Ising ($J_{ik}=\pm 1$) spin glass in the broken phase ($β=1$). For the first time it becomes possible to obtain reliable results about spin glass tunneling barriers. In addition, as do some earlier numerical studies, our results support that Parisi mean field theory is valid down to $3d$.
dc.description10 pages latex and 3 postscript figures in one file
dc.identifierhttps://arxiv.org/abs/cond-mat/9712320
dc.identifierhttp://arxiv.org/abs/cond-mat/9712320
dc.identifierPhys.Rev.Lett.80:4771-4774,1998
dc.identifierdoi:10.1103/PhysRevLett.80.4771
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217036
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.titleMulti-Overlap Simulations of the $3d$ Edwards-Anderson Ising Spin Glass
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