Surface criticality in random field magnets

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© 2005 American Physical Society (APS). This is the accepted version of the following article: Laurson, L. & Alava, Mikko J. 2005. Surface criticality in random field magnets. Physical Review B. Volume 72, Issue 21. 214416/1-6. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.72.214416, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.72.214416.
Final published version

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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2005

Major/Subject

Mcode

Degree programme

Language

en

Pages

214416/1-6

Series

Physical Review B, Volume 72, Issue 21

Abstract

The boundary-induced scaling of three-dimensional random field Ising magnets is investigated close to the bulk critical point by exact combinatorial optimization methods. We measure several exponents describing surface criticality: β1 for the surface layer magnetization and the surface excess exponents for the magnetization and the specific heat, βs and αs. The latter are related to the bulk phase transition by the same scaling laws as in pure systems, but only with the same violation of the hyperscaling exponent θ as in the bulk. The boundary disorders faster than the bulk, and the experimental and theoretical implications are discussed.

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Keywords

random field Ising magnets, boundary-induced scaling

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Citation

Laurson, L. & Alava, Mikko J. 2005. Surface criticality in random field magnets. Physical Review B. Volume 72, Issue 21. 214416/1-6. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.72.214416.