Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model

In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to...

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Principais autores: Piolho, Francisco de Assis Pereira, Costa, Francisco Alexandre da, Bezerra, Claudionor Gomes, Mariz, Ananias Monteiro
Formato: article
Idioma:English
Publicado em: Elsevier
Assuntos:
Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/29247
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spelling ri-123456789-292472021-04-06T21:33:36Z Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model Piolho, Francisco de Assis Pereira Costa, Francisco Alexandre da Bezerra, Claudionor Gomes Mariz, Ananias Monteiro Ising models Ashkin–Teller Renormalization group Phase transitions Phase In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to determine the corresponding phase diagram (including its symmetry properties) and critical exponents. Our numerical results show the presence of four universality classes, three of them are associated to the Potts model with , 4 and 6 states. Finally, a connection between our findings and some known results from the literature is presented 2020-06-15T13:12:38Z 2020-06-15T13:12:38Z 2008-03-01 article PIOLHO, F ; DACOSTA, F ; BEZERRA, C. G. ; MARIZ, Ananias Monteiro . Phase diagram of the two-dimensional ferromagnetic three-color Ashkin Teller model. Physica. A, v. 387, p. 1538-1544, 2008. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378437107012113?via%3Dihub. Acesso em: 08 jun 2020. https://doi.org/10.1016/j.physa.2007.11.009. https://repositorio.ufrn.br/jspui/handle/123456789/29247 10.1016/j.physa.2007.11.009 en application/pdf Elsevier
institution Repositório Institucional
collection RI - UFRN
language English
topic Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
spellingShingle Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
Piolho, Francisco de Assis Pereira
Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
description In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to determine the corresponding phase diagram (including its symmetry properties) and critical exponents. Our numerical results show the presence of four universality classes, three of them are associated to the Potts model with , 4 and 6 states. Finally, a connection between our findings and some known results from the literature is presented
format article
author Piolho, Francisco de Assis Pereira
Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
author_facet Piolho, Francisco de Assis Pereira
Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
author_sort Piolho, Francisco de Assis Pereira
title Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_short Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_full Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_fullStr Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_full_unstemmed Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_sort phase diagram of the two-dimensional ferromagnetic three-color ashkin–teller model
publisher Elsevier
publishDate 2020
url https://repositorio.ufrn.br/jspui/handle/123456789/29247
work_keys_str_mv AT piolhofranciscodeassispereira phasediagramofthetwodimensionalferromagneticthreecolorashkintellermodel
AT costafranciscoalexandreda phasediagramofthetwodimensionalferromagneticthreecolorashkintellermodel
AT bezerraclaudionorgomes phasediagramofthetwodimensionalferromagneticthreecolorashkintellermodel
AT marizananiasmonteiro phasediagramofthetwodimensionalferromagneticthreecolorashkintellermodel
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