Finite-size Scaling and Universality above the Upper Critical Dimensionality

Details Finite-size Scaling and Universality above the Upper Critical Dimensionality Finite-size Scaling and Universality above the Upper Critical Dimensionality

1996-01-26

arxiv.org/abs/cond-mat/9601130v1

Phys.Rev.Lett. 76 (1996) 1557-1561; Erratum-ibid. 76 (1996) 3662

Physics

Condensed Matter

5 pages RevTeX, 1 PostScript figure. Accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.76.1557

According to renormalization theory, Ising systems above their upper critical dimensionality d_u = 4 have classical critical behavior and the ratio of magnetization moments Q = ^2 / has the universal value 0.456947... However, Monte Carlo simulations of d = 5 Ising models have been reported which yield strikingly different results, suggesting that the renormalization scenario is incorrect. We investigate this issue by simulation of a more general model in which d_u < 4, and a careful analysis of the corrections to scaling. Our results are in a perfect agreement with the renormalization theory and provide an explanation of the discrepancy mentioned.

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