Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/69919 https://orcid.org/0000-0002-5172-2172 |
| _version_ | 1811072968126627840 |
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| author | Caglar, Tolga Berker, A. Nihat |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Caglar, Tolga Berker, A. Nihat |
| author_sort | Caglar, Tolga |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:25:05Z |
| format | Article |
| id | mit-1721.1/69919 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:25:05Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/699192022-09-30T14:22:37Z Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory Caglar, Tolga Berker, A. Nihat Massachusetts Institute of Technology. Department of Physics Berker, A. Nihat Berker, A. Nihat 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. Alexander von Humboldt-Stiftung Scientific and Technical Research Council of Turkey Türkiye Bilimler Akademisi 2012-04-04T14:22:50Z 2012-04-04T14:22:50Z 2011-11 2011-09 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/69919 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. https://orcid.org/0000-0002-5172-2172 en_US http://dx.doi.org/10.1103/PhysRevE.84.051129 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Caglar, Tolga Berker, A. Nihat Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title | Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title_full | Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title_fullStr | Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title_full_unstemmed | Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title_short | Interface-roughening phase diagram of the three-dimensional Ising model for all interaction anisotropies from hard-spin mean-field theory |
| title_sort | interface roughening phase diagram of the three dimensional ising model for all interaction anisotropies from hard spin mean field theory |
| url | http://hdl.handle.net/1721.1/69919 https://orcid.org/0000-0002-5172-2172 |
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