Disorder-induced roughening in the three-dimensional Ising model

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© 1996 American Physical Society (APS). This is the accepted version of the following article: Alava, Mikko J. & Duxbury, P. M. 1996. Disorder-induced roughening in the three-dimensional Ising model. Physical Review B. Volume 54, Issue 21. 14990-14993. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.54.14990, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.54.14990.

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Journal Title

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Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

1996

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Mcode

Degree programme

Language

en

Pages

14990-14993

Series

Physical Review B, Volume 54, Issue 21

Abstract

Using an exact method, we numerically study the zero-temperature roughness of interfaces in the random bond, cubic lattice, Ising model (of size L3, with L<~80). Interfaces oriented along the {100} direction undergo a roughening transition from a weak disorder phase, which is almost flat, to a strong disorder phase with interface width w∼cL0.42 (c is a function of the disorder). For random dilution we find the roughening threshold p∗=0.89±0.01 and c∼p∗−p for p<~p∗ (p is the volume fraction of present bonds). In contrast {111} interfaces are algebraically rough for all disorder.

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Keywords

zero-temperature roughness, interfaces, random bond, cubic lattice, Ising model

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Citation

Alava, Mikko J. & Duxbury, P. M. 1996. Disorder-induced roughening in the three-dimensional Ising model. Physical Review B. Volume 54, Issue 21. 14990-14993. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.54.14990.