Phys. Rev. B 71, 174438 (2005) [5 pages]Finite-size scaling of the correlation length above the upper critical dimension in the five-dimensional Ising modelReceived 7 December 2004; revised 31 January 2005; published 31 May 2005 We show numerically that correlation length at the critical point in the five-dimensional Ising model varies with system size L as L5∕4, rather than proportional to L, as in standard finite-size scaling (FSS) theory. Our results confirm a hypothesis that FSS expressions in dimension d greater than the upper critical dimension of 4 should have L replaced by Ld∕4 for cubic samples with periodic boundary conditions. We also investigate numerically the logarithmic corrections to FSS in d=4. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.71.174438
DOI:
10.1103/PhysRevB.71.174438
PACS:
05.50.+q, 75.10.−b, 75.10.Hk
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