English

Finite-size scaling in thin Fe/Ir(100) layers

Statistical Mechanics 2009-10-31 v1 Materials Science High Energy Physics - Lattice

Abstract

The critical temperature of thin Fe layers on Ir(100) is measured through M\"o{\ss}bauer spectroscopy as a function of the layer thickness. From a phenomenological finite-size scaling analysis, we find an effective shift exponent lambda = 3.15 +/- 0.15, which is twice as large as the value expected from the conventional finite-size scaling prediction lambda=1/nu, where nu is the correlation length critical exponent. Taking corrections to finite-size scaling into account, we derive the effective shift exponent lambda=(1+2\Delta_1)/nu, where Delta_1 describes the leading corrections to scaling. For the 3D Heisenberg universality class, this leads to lambda = 3.0 +/- 0.1, in agreement with the experimental data. Earlier data by Ambrose and Chien on the effective shift exponent in CoO films are also explained.

Keywords

Cite

@article{arxiv.cond-mat/9804201,
  title  = {Finite-size scaling in thin Fe/Ir(100) layers},
  author = {Malte Henkel and Stéphane Andrieu and Philippe Bauer and Michel Piecuch},
  journal= {arXiv preprint arXiv:cond-mat/9804201},
  year   = {2009}
}

Comments

Latex, 4 pages, with 2 figures, to appear in Phys. Rev. Lett.

R2 v1 2026-07-22T12:03:24.390Z