Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory
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Caglar-2011-Interface-roughening phase diagram of the three.pdf
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361.27 KB
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Checksum (MD5)
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Author(s)
Caglar, Tolga
Berker, A. Nihat
Date Issued
November 2011
Journal
Physical Review E
Publisher
American Physical Society
Citation
Çağlar, Tolga, and A. Nihat Berker. “Interface-roughening Phase Diagram of the Three-dimensional Ising Model for All Interaction Anisotropies from Hard-spin Mean-field Theory.” Physical Review E 84.5 (2011): [4 pages].© 2011 American Physical Society.
Version
Final published version
Abstract
The roughening phase diagram of the d=3 Ising model with uniaxially anisotropic interactions is calculated for the entire range of anisotropy, from decoupled planes to the isotropic model to the solid-on-solid model, using hard-spin mean-field theory. The phase diagram contains the line of ordering phase transitions and, at lower temperatures, the line of roughening phase transitions, where the interface between ordered domains roughens. Upon increasing the anisotropy, roughening transition temperatures settle after the isotropic case, whereas the ordering transition temperature increases to infinity. The calculation is repeated for the d=2 Ising model for the full range of anisotropy, yielding no roughening transition.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.84.051129
