Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets
Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding the absence and presence of an interface roughening transition respectively in d = 2 and d = 3 dimensions and producing the ordering-roughening phase diagram for isotropic and anisotropic systems. The approach...
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| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/100736 https://orcid.org/0000-0002-5172-2172 |
| _version_ | 1826197943219126272 |
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| author | Berker, A. Nihat Caglar, Tolga |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Berker, A. Nihat Caglar, Tolga |
| author_sort | Berker, A. Nihat |
| collection | MIT |
| description | Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding the absence and presence of an interface roughening transition respectively in d = 2 and d = 3 dimensions and producing the ordering-roughening phase diagram for isotropic and anisotropic systems. The approach has now been extended to the effects of quenched random pinning centers and missing bonds on the interface of isotropic and anisotropic Ising models in d = 3. We find that these frozen impurities cause domain boundary roughening that exhibits consecutive thresholding transitions as a function of interaction anisotropy. For both missing-bond and pinning-center impurities, for moderately large values of the anisotropy, the systems saturate to the “solid-on-solid” limit, exhibiting a single universal curve for the domain boundary width as a function of impurity concentration. |
| first_indexed | 2024-09-23T10:56:32Z |
| format | Article |
| id | mit-1721.1/100736 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:56:32Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1007362022-09-27T16:05:19Z Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets Berker, A. Nihat Caglar, Tolga Massachusetts Institute of Technology. Department of Physics Berker, A. Nihat Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding the absence and presence of an interface roughening transition respectively in d = 2 and d = 3 dimensions and producing the ordering-roughening phase diagram for isotropic and anisotropic systems. The approach has now been extended to the effects of quenched random pinning centers and missing bonds on the interface of isotropic and anisotropic Ising models in d = 3. We find that these frozen impurities cause domain boundary roughening that exhibits consecutive thresholding transitions as a function of interaction anisotropy. For both missing-bond and pinning-center impurities, for moderately large values of the anisotropy, the systems saturate to the “solid-on-solid” limit, exhibiting a single universal curve for the domain boundary width as a function of impurity concentration. Alexander von Humboldt-Stiftung Scientific and Technical Research Council of Turkey Academy of Sciences of Turkey 2016-01-07T01:11:42Z 2016-01-07T01:11:42Z 2015-12 2015-09 2015-12-18T23:00:00Z Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/100736 Çağlar, Tolga, and A. Nihat Berker. “Successively Thresholded Domain Boundary Roughening Driven by Pinning Centers and Missing Bonds: Hard-Spin Mean-Field Theory Applied to d = 3 Ising Magnets.” Phys. Rev. E 92, no. 6 (December 18, 2015). © 2015 American Physical Society https://orcid.org/0000-0002-5172-2172 en http://dx.doi.org/10.1103/PhysRevE.92.062131 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Berker, A. Nihat Caglar, Tolga Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title | Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title_full | Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title_fullStr | Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title_full_unstemmed | Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title_short | Successively thresholded domain boundary roughening driven by pinning centers and missing bonds: Hard-spin mean-field theory applied to d = 3 Ising magnets |
| title_sort | successively thresholded domain boundary roughening driven by pinning centers and missing bonds hard spin mean field theory applied to d 3 ising magnets |
| url | http://hdl.handle.net/1721.1/100736 https://orcid.org/0000-0002-5172-2172 |
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