Kosterlitz-Thouless and Potts transitions in a generalized XY model

Detalhes bibliográficos
Autor(a) principal: Canova, Gabriel Antônio
Data de Publicação: 2014
Outros Autores: Levin, Yan, Arenzon, Jeferson Jacob
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103434
Resumo: We present extensive numerical simulations of a generalized XY model with nematic-like terms recently proposed by Poderoso et al. [Phys. Rev. Lett. 106, 067202 (2011)]. Using finite size scaling and focusing on the q = 3 case, we locate the transitions between the paramagnetic (P), the nematic-like (N), and the ferromagnetic (F) phases. The results are compared with the recently derived lower bounds for the P-N and P-F transitions. While the P-N transition is found to be very close to the lower bound, the P-F transition occurs significantly above the bound. Finally, the transition between the nematic-like and the ferromagnetic phases is found to belong to the three-states Potts universality class.
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spelling Canova, Gabriel AntônioLevin, YanArenzon, Jeferson Jacob2014-09-19T02:14:20Z20141539-3755http://hdl.handle.net/10183/103434000916521We present extensive numerical simulations of a generalized XY model with nematic-like terms recently proposed by Poderoso et al. [Phys. Rev. Lett. 106, 067202 (2011)]. Using finite size scaling and focusing on the q = 3 case, we locate the transitions between the paramagnetic (P), the nematic-like (N), and the ferromagnetic (F) phases. The results are compared with the recently derived lower bounds for the P-N and P-F transitions. While the P-N transition is found to be very close to the lower bound, the P-F transition occurs significantly above the bound. Finally, the transition between the nematic-like and the ferromagnetic phases is found to belong to the three-states Potts universality class.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 1 (Jan. 2014), 012126, 5 p.FerromagnetismoParamagnetismoTransições magnéticasModelo de PottsKosterlitz-Thouless and Potts transitions in a generalized XY modelEstrangeiroinfo: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:UFRGSORIGINAL000916521.pdf000916521.pdfTexto completo (inglês)application/pdf331647http://www.lume.ufrgs.br/bitstream/10183/103434/1/000916521.pdf59f1af04b062f2bf8134fecfd312cf4fMD51TEXT000916521.pdf.txt000916521.pdf.txtExtracted Texttext/plain23624http://www.lume.ufrgs.br/bitstream/10183/103434/2/000916521.pdf.txt54161a1b33ec4c645d33811586f1d61dMD52THUMBNAIL000916521.pdf.jpg000916521.pdf.jpgGenerated Thumbnailimage/jpeg2138http://www.lume.ufrgs.br/bitstream/10183/103434/3/000916521.pdf.jpge29c4e464f8bef9c3ed05ecf13e987caMD5310183/1034342023-09-02 03:32:43.075096oai:www.lume.ufrgs.br:10183/103434Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-09-02T06:32:43Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Kosterlitz-Thouless and Potts transitions in a generalized XY model
title Kosterlitz-Thouless and Potts transitions in a generalized XY model
spellingShingle Kosterlitz-Thouless and Potts transitions in a generalized XY model
Canova, Gabriel Antônio
Ferromagnetismo
Paramagnetismo
Transições magnéticas
Modelo de Potts
title_short Kosterlitz-Thouless and Potts transitions in a generalized XY model
title_full Kosterlitz-Thouless and Potts transitions in a generalized XY model
title_fullStr Kosterlitz-Thouless and Potts transitions in a generalized XY model
title_full_unstemmed Kosterlitz-Thouless and Potts transitions in a generalized XY model
title_sort Kosterlitz-Thouless and Potts transitions in a generalized XY model
author Canova, Gabriel Antônio
author_facet Canova, Gabriel Antônio
Levin, Yan
Arenzon, Jeferson Jacob
author_role author
author2 Levin, Yan
Arenzon, Jeferson Jacob
author2_role author
author
dc.contributor.author.fl_str_mv Canova, Gabriel Antônio
Levin, Yan
Arenzon, Jeferson Jacob
dc.subject.por.fl_str_mv Ferromagnetismo
Paramagnetismo
Transições magnéticas
Modelo de Potts
topic Ferromagnetismo
Paramagnetismo
Transições magnéticas
Modelo de Potts
description We present extensive numerical simulations of a generalized XY model with nematic-like terms recently proposed by Poderoso et al. [Phys. Rev. Lett. 106, 067202 (2011)]. Using finite size scaling and focusing on the q = 3 case, we locate the transitions between the paramagnetic (P), the nematic-like (N), and the ferromagnetic (F) phases. The results are compared with the recently derived lower bounds for the P-N and P-F transitions. While the P-N transition is found to be very close to the lower bound, the P-F transition occurs significantly above the bound. Finally, the transition between the nematic-like and the ferromagnetic phases is found to belong to the three-states Potts universality class.
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dc.date.accessioned.fl_str_mv 2014-09-19T02:14:20Z
dc.date.issued.fl_str_mv 2014
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/103434
dc.identifier.issn.pt_BR.fl_str_mv 1539-3755
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 1 (Jan. 2014), 012126, 5 p.
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