Nematic phase in two-dimensional frustrated systems with power-law decaying interactions
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/101838 |
Resumo: | We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short-range ferromagnetic interaction competing with an antiferromagnetic component that decays as a power law of the distance between spins, 1/rα. These systems may develop a nematic phase between the isotropic disordered and stripe phases.We evaluate the nematic order parameter using a self-consistent mean-field calculation. Our main result indicates that the nematic phase exists, at mean-field level, provided 0 < α < 4. We analytically compute the nematic critical temperature and show that it increases with the range of the interaction, reaching its maximum near α ∼ 0.5.We also compute a coarse-grained effective Hamiltonian for long wavelength fluctuations. For 0 < α < 4 the inverse susceptibility develops a set of continuous minima at wave vectors | k| = k0(α) which dictate the long-distance physics of the system. For α → 4, k0 → 0, making the competition between interactions ineffective for greater values of α. |
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Barci, Daniel G.Ribeiro, Leonardo RodriguesStariolo, Daniel Adrian2014-08-26T09:26:20Z20131539-3755http://hdl.handle.net/10183/101838000898229We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short-range ferromagnetic interaction competing with an antiferromagnetic component that decays as a power law of the distance between spins, 1/rα. These systems may develop a nematic phase between the isotropic disordered and stripe phases.We evaluate the nematic order parameter using a self-consistent mean-field calculation. Our main result indicates that the nematic phase exists, at mean-field level, provided 0 < α < 4. We analytically compute the nematic critical temperature and show that it increases with the range of the interaction, reaching its maximum near α ∼ 0.5.We also compute a coarse-grained effective Hamiltonian for long wavelength fluctuations. For 0 < α < 4 the inverse susceptibility develops a set of continuous minima at wave vectors | k| = k0(α) which dictate the long-distance physics of the system. For α → 4, k0 → 0, making the competition between interactions ineffective for greater values of α.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87, no. 6 (June 2013), 062119, 7 p.AntiferromagnetismoFerromagnetismoModelo de isingFrustração (Física)Suscetibilidade magnéticaHamiltonianos de spinCálculos SCFNematic phase in two-dimensional frustrated systems with power-law decaying interactionsEstrangeiroinfo: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:UFRGSORIGINAL000898229.pdf000898229.pdfTexto completo (inglês)application/pdf201165http://www.lume.ufrgs.br/bitstream/10183/101838/1/000898229.pdf746dfce20751b7ad6ed15f1516710866MD51TEXT000898229.pdf.txt000898229.pdf.txtExtracted Texttext/plain35765http://www.lume.ufrgs.br/bitstream/10183/101838/2/000898229.pdf.txtf675bef7aa4dc01019d9f55b00b3f8d1MD52THUMBNAIL000898229.pdf.jpg000898229.pdf.jpgGenerated Thumbnailimage/jpeg2191http://www.lume.ufrgs.br/bitstream/10183/101838/3/000898229.pdf.jpge8b979e1a4e6b603da6c4a97bcf54ba4MD5310183/1018382018-10-22 09:29:32.527oai:www.lume.ufrgs.br:10183/101838Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-22T12:29:32Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
title |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
spellingShingle |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions Barci, Daniel G. Antiferromagnetismo Ferromagnetismo Modelo de ising Frustração (Física) Suscetibilidade magnética Hamiltonianos de spin Cálculos SCF |
title_short |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
title_full |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
title_fullStr |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
title_full_unstemmed |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
title_sort |
Nematic phase in two-dimensional frustrated systems with power-law decaying interactions |
author |
Barci, Daniel G. |
author_facet |
Barci, Daniel G. Ribeiro, Leonardo Rodrigues Stariolo, Daniel Adrian |
author_role |
author |
author2 |
Ribeiro, Leonardo Rodrigues Stariolo, Daniel Adrian |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Barci, Daniel G. Ribeiro, Leonardo Rodrigues Stariolo, Daniel Adrian |
dc.subject.por.fl_str_mv |
Antiferromagnetismo Ferromagnetismo Modelo de ising Frustração (Física) Suscetibilidade magnética Hamiltonianos de spin Cálculos SCF |
topic |
Antiferromagnetismo Ferromagnetismo Modelo de ising Frustração (Física) Suscetibilidade magnética Hamiltonianos de spin Cálculos SCF |
description |
We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short-range ferromagnetic interaction competing with an antiferromagnetic component that decays as a power law of the distance between spins, 1/rα. These systems may develop a nematic phase between the isotropic disordered and stripe phases.We evaluate the nematic order parameter using a self-consistent mean-field calculation. Our main result indicates that the nematic phase exists, at mean-field level, provided 0 < α < 4. We analytically compute the nematic critical temperature and show that it increases with the range of the interaction, reaching its maximum near α ∼ 0.5.We also compute a coarse-grained effective Hamiltonian for long wavelength fluctuations. For 0 < α < 4 the inverse susceptibility develops a set of continuous minima at wave vectors | k| = k0(α) which dictate the long-distance physics of the system. For α → 4, k0 → 0, making the competition between interactions ineffective for greater values of α. |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013 |
dc.date.accessioned.fl_str_mv |
2014-08-26T09:26:20Z |
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/10183/101838 |
dc.identifier.issn.pt_BR.fl_str_mv |
1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000898229 |
identifier_str_mv |
1539-3755 000898229 |
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http://hdl.handle.net/10183/101838 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87, no. 6 (June 2013), 062119, 7 p. |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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