Microscopic approach to orientational order of domain walls
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/104531 |
Resumo: | We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified framework. In this paper, we consider two-dimensional stripe-forming systems, where nematic, smectic, and crystal phases are possible.We introduce a nematic order parameter in a lattice, which measures orientational order of interfaces. We develop a mean-field approach that leads to a free energy, which is a function of both the magnetization (density) and the orientational (nematic) order parameters. Self-consistent equations for the order parameters are obtained and the solutions are described for a particular system, the dipolar frustrated Ising ferromagnet.We show that this system has an Ising-nematic phase at low temperatures in the square lattice, where positional order (staggered magnetization) is zero. At lower temperatures, a crystal-stripe phase may appear. In the continuum limit, the present approach connects to a Ginsburg-Landau theory, which has an isotropic-nematic phase transition with breaking of a continuous symmetry. |
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Barci, Daniel G.Stariolo, Daniel Adrian2014-10-14T02:13:08Z20111098-0121http://hdl.handle.net/10183/104531000794726We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified framework. In this paper, we consider two-dimensional stripe-forming systems, where nematic, smectic, and crystal phases are possible.We introduce a nematic order parameter in a lattice, which measures orientational order of interfaces. We develop a mean-field approach that leads to a free energy, which is a function of both the magnetization (density) and the orientational (nematic) order parameters. Self-consistent equations for the order parameters are obtained and the solutions are described for a particular system, the dipolar frustrated Ising ferromagnet.We show that this system has an Ising-nematic phase at low temperatures in the square lattice, where positional order (staggered magnetization) is zero. At lower temperatures, a crystal-stripe phase may appear. In the continuum limit, the present approach connects to a Ginsburg-Landau theory, which has an isotropic-nematic phase transition with breaking of a continuous symmetry.application/pdfengPhysical review. B, Condensed matter and materials physics. Woodbury. Vol. 84, no. 9 (Sep. 2011), 094439, 9 p.Física da matéria condensadaMecânica estatísticaParedes de domínios magnéticosMateriais ferromagnéticosTransições magnéticasFilmes finos magneticosModelo de isingEnergia livreCobreFerroMicroscopic approach to orientational order of domain wallsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000794726.pdf000794726.pdfTexto completo (inglês)application/pdf716461http://www.lume.ufrgs.br/bitstream/10183/104531/1/000794726.pdf3b04500cf83aab7cfb1a032b7916bca7MD51TEXT000794726.pdf.txt000794726.pdf.txtExtracted Texttext/plain41867http://www.lume.ufrgs.br/bitstream/10183/104531/2/000794726.pdf.txt9acf4d024169636b8d4025b4a09f72f7MD5210183/1045312018-06-07 02:32:13.241864oai:www.lume.ufrgs.br:10183/104531Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-06-07T05:32:13Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Microscopic approach to orientational order of domain walls |
title |
Microscopic approach to orientational order of domain walls |
spellingShingle |
Microscopic approach to orientational order of domain walls Barci, Daniel G. Física da matéria condensada Mecânica estatística Paredes de domínios magnéticos Materiais ferromagnéticos Transições magnéticas Filmes finos magneticos Modelo de ising Energia livre Cobre Ferro |
title_short |
Microscopic approach to orientational order of domain walls |
title_full |
Microscopic approach to orientational order of domain walls |
title_fullStr |
Microscopic approach to orientational order of domain walls |
title_full_unstemmed |
Microscopic approach to orientational order of domain walls |
title_sort |
Microscopic approach to orientational order of domain walls |
author |
Barci, Daniel G. |
author_facet |
Barci, Daniel G. Stariolo, Daniel Adrian |
author_role |
author |
author2 |
Stariolo, Daniel Adrian |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Barci, Daniel G. Stariolo, Daniel Adrian |
dc.subject.por.fl_str_mv |
Física da matéria condensada Mecânica estatística Paredes de domínios magnéticos Materiais ferromagnéticos Transições magnéticas Filmes finos magneticos Modelo de ising Energia livre Cobre Ferro |
topic |
Física da matéria condensada Mecânica estatística Paredes de domínios magnéticos Materiais ferromagnéticos Transições magnéticas Filmes finos magneticos Modelo de ising Energia livre Cobre Ferro |
description |
We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified framework. In this paper, we consider two-dimensional stripe-forming systems, where nematic, smectic, and crystal phases are possible.We introduce a nematic order parameter in a lattice, which measures orientational order of interfaces. We develop a mean-field approach that leads to a free energy, which is a function of both the magnetization (density) and the orientational (nematic) order parameters. Self-consistent equations for the order parameters are obtained and the solutions are described for a particular system, the dipolar frustrated Ising ferromagnet.We show that this system has an Ising-nematic phase at low temperatures in the square lattice, where positional order (staggered magnetization) is zero. At lower temperatures, a crystal-stripe phase may appear. In the continuum limit, the present approach connects to a Ginsburg-Landau theory, which has an isotropic-nematic phase transition with breaking of a continuous symmetry. |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011 |
dc.date.accessioned.fl_str_mv |
2014-10-14T02:13:08Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/104531 |
dc.identifier.issn.pt_BR.fl_str_mv |
1098-0121 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000794726 |
identifier_str_mv |
1098-0121 000794726 |
url |
http://hdl.handle.net/10183/104531 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. B, Condensed matter and materials physics. Woodbury. Vol. 84, no. 9 (Sep. 2011), 094439, 9 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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