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Numerically exact solvable random-bond Ising model

Morgenstern, Ingo
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Date of publication of this fulltext: 23 Aug 2010 11:46


Abstract

Exact free energies are calculated numerically for aL×L-Ising lattice (LlE800) with constant nearest neighbour coupling between adjacent columns and random n.n. coupling between adjacent rows. For the latter a gaussian and a double-peaked delta-distribution are investigated. The result should be useful as a check of the controversially discussed replica trick [1]. In agreement with the numerical treatment a mean field approximation shows a transition to a spinglass phase.


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