Frustração magnética em um modelo de ising triangular com anisotropia rotacional
Autor(a) principal: | |
---|---|
Data de Publicação: | 2020 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
dARK ID: | ark:/38995/001300000bvmc |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/10735 |
Resumo: | In this work, we present a new model for the study of frustrated magnetic systems proposed for a triangular lattice equipped with Ising type spins that takes into account not only the interaction between the spins but also the interaction due to the symmetry of a given substrate that corresponds to a host lattice of the magnetic system. This last interaction is related to a phenomenological parameter that is responsible for controlling the intensity of this interaction and that is proportional to a function representative of the symmetry of the host material in question. The interest behind this study seeks to characterize the influence of this interaction on the behavior of the spins through the evaluation of their main thermodynamic properties associated with a phase transition that imply a new way of modeling these systems pointing to a complementary view of what can promote frustration in magnetic systems in general. For the development of this research, we adopted entropic sampling simulations based on the Wang-Landau method, where a random walk in the energy space is performed, allowing to estimate the density of states g(E) while the energy distribution is generated in the histogram. Through this methodology, we calculated some thermodynamic properties of interest and managed to represent a phase diagram that illustrates the various forms that the system takes in function of a control parameter that is responsible for adjusting the different magnetic phases of the model. We also adopted the finite-size scale theory that allowed us to estimate the critical exponents corresponding to a certain class of universality that the system may belong to. As a result of this, we were able to establish the proper conclusions regarding the dynamics of the system and we became able to formulate the possible developments resulting from this work. |
id |
UFG-2_7e99aee6bf3eabf0a546b38f2816c3b3 |
---|---|
oai_identifier_str |
oai:repositorio.bc.ufg.br:tede/10735 |
network_acronym_str |
UFG-2 |
network_name_str |
Repositório Institucional da UFG |
repository_id_str |
|
spelling |
Caparica, Álvaro de Almeidahttp://lattes.cnpq.br/4726638254587108Silva, Cláudio José dahttp://lattes.cnpq.br/1361379226289069Caparica, Álvaro de AlmeidaSilva, Hermann Freire Ferreira Lima eBranquinho, Luis Cesarhttp://lattes.cnpq.br/4460779110566220Nascimento, Ricardo Mayckon Lopes2020-09-17T14:07:42Z2020-09-17T14:07:42Z2020-03-16NASCIMENTO, R. M. L. Frustração magnética em um modelo de Ising triangular com anisotropia rotacional. 2020. 48 f. Dissertação (Mestrado em Física) - Universidade Federal de Goiás, Goiânia, 2020.http://repositorio.bc.ufg.br/tede/handle/tede/10735ark:/38995/001300000bvmcIn this work, we present a new model for the study of frustrated magnetic systems proposed for a triangular lattice equipped with Ising type spins that takes into account not only the interaction between the spins but also the interaction due to the symmetry of a given substrate that corresponds to a host lattice of the magnetic system. This last interaction is related to a phenomenological parameter that is responsible for controlling the intensity of this interaction and that is proportional to a function representative of the symmetry of the host material in question. The interest behind this study seeks to characterize the influence of this interaction on the behavior of the spins through the evaluation of their main thermodynamic properties associated with a phase transition that imply a new way of modeling these systems pointing to a complementary view of what can promote frustration in magnetic systems in general. For the development of this research, we adopted entropic sampling simulations based on the Wang-Landau method, where a random walk in the energy space is performed, allowing to estimate the density of states g(E) while the energy distribution is generated in the histogram. Through this methodology, we calculated some thermodynamic properties of interest and managed to represent a phase diagram that illustrates the various forms that the system takes in function of a control parameter that is responsible for adjusting the different magnetic phases of the model. We also adopted the finite-size scale theory that allowed us to estimate the critical exponents corresponding to a certain class of universality that the system may belong to. As a result of this, we were able to establish the proper conclusions regarding the dynamics of the system and we became able to formulate the possible developments resulting from this work.Neste trabalho, nós apresentamos um novo modelo para o estudo de sistemas magnéticos frustrados proposto para uma rede triangular dotada de spins do tipo Ising que leva em conta não apenas a interação entre os spins mas também a interação devida à simetria de um dado substrato que corresponde a uma rede hospedeira do sistema magnético. Essa última interação é relacionada a um parâmetro fenomenológico que é responsável por controlar a intensidade dessa interação e que é proporcional a uma função representativa da simetria do material hospedeiro em questão. Os interesses por trás desse estudo buscam caracterizar a influência dessa interação no comportamento dos spins através das avaliações das suas principais propriedades termodinâmicas associadas a uma transição de fase que implicam numa nova maneira de modelar esses sistemas apontando para uma visão complementar a respeito do que pode promover a frustração em sistemas magnéticos em geral. Para o desenvolvimento dessa pesquisa, nós adotamos as simulações de amostragem entrópica baseadas no método de Wang-Landau, onde é realizado um passeio aleatório no espaço de energia, permitindo estimar a densidade de estados g(E) enquanto a distribuição de energia é gerada no histograma. Por meio dessa metodologia, nós calculamos algumas propriedades termodinâmicas de interesse e conseguimos representar um diagrama de fases que ilustra as diversas formas que o sistema assume em função de um parâmetro de controle que é responsável por ajustar as diferentes fases magnéticas do modelo. Adotamos também a teoria de escala de tamanho finito que nos permitiu estimar os expoentes críticos correspondentes a uma determinada classe de universalidade que o sistema possa pertencer. Por consequência disso, nós conseguimos estabelecer as devidas conclusões a respeito da dinâmica do sistema e nos tornamos aptos para formular os possíveis desdobramentos decorrentes deste trabalho.Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2020-09-17T13:18:54Z No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Dissertação - Ricardo Mayckon Lopes Nascimento - 2020.pdf: 1752626 bytes, checksum: 0933a25fd88840ff7dbe6f364105ddd8 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2020-09-17T14:07:42Z (GMT) No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Dissertação - Ricardo Mayckon Lopes Nascimento - 2020.pdf: 1752626 bytes, checksum: 0933a25fd88840ff7dbe6f364105ddd8 (MD5)Made available in DSpace on 2020-09-17T14:07:42Z (GMT). No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Dissertação - Ricardo Mayckon Lopes Nascimento - 2020.pdf: 1752626 bytes, checksum: 0933a25fd88840ff7dbe6f364105ddd8 (MD5) Previous issue date: 2020-03-16Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de GoiásPrograma de Pós-graduação em Fisica (IF)UFGBrasilInstituto de Física - IF (RG)Attribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessSistemas magnéticos frustradosSimulações entrópicasTransições de faseMagnetic frustrated systemsEntropic simulationsPhase transitionsCIENCIAS EXATAS E DA TERRA::FISICAFrustração magnética em um modelo de ising triangular com anisotropia rotacionalMagnetic frustration in a triangular ising model with rotational anisotropyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis54500500500500261851reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/e1fb7410-9912-4e3d-b19e-7675b9f17bc2/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811http://repositorio.bc.ufg.br/tede/bitstreams/a1f4c608-e77c-4206-9ff0-0709a92841c9/downloade39d27027a6cc9cb039ad269a5db8e34MD52ORIGINALDissertação - Ricardo Mayckon Lopes Nascimento - 2020.pdfDissertação - Ricardo Mayckon Lopes Nascimento - 2020.pdfapplication/pdf1752626http://repositorio.bc.ufg.br/tede/bitstreams/b478b12e-049e-4acd-82e4-042896f4b7bb/download0933a25fd88840ff7dbe6f364105ddd8MD53tede/107352020-09-17 11:07:42.508http://creativecommons.org/licenses/by-nc-nd/3.0/br/Attribution-NonCommercial-NoDerivs 3.0 Brazilopen.accessoai:repositorio.bc.ufg.br:tede/10735http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2020-09-17T14:07:42Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
dc.title.pt_BR.fl_str_mv |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
dc.title.alternative.eng.fl_str_mv |
Magnetic frustration in a triangular ising model with rotational anisotropy |
title |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
spellingShingle |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional Nascimento, Ricardo Mayckon Lopes Sistemas magnéticos frustrados Simulações entrópicas Transições de fase Magnetic frustrated systems Entropic simulations Phase transitions CIENCIAS EXATAS E DA TERRA::FISICA |
title_short |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
title_full |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
title_fullStr |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
title_full_unstemmed |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
title_sort |
Frustração magnética em um modelo de ising triangular com anisotropia rotacional |
author |
Nascimento, Ricardo Mayckon Lopes |
author_facet |
Nascimento, Ricardo Mayckon Lopes |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Caparica, Álvaro de Almeida |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/4726638254587108 |
dc.contributor.advisor-co1.fl_str_mv |
Silva, Cláudio José da |
dc.contributor.advisor-co1Lattes.fl_str_mv |
http://lattes.cnpq.br/1361379226289069 |
dc.contributor.referee1.fl_str_mv |
Caparica, Álvaro de Almeida |
dc.contributor.referee2.fl_str_mv |
Silva, Hermann Freire Ferreira Lima e |
dc.contributor.referee3.fl_str_mv |
Branquinho, Luis Cesar |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/4460779110566220 |
dc.contributor.author.fl_str_mv |
Nascimento, Ricardo Mayckon Lopes |
contributor_str_mv |
Caparica, Álvaro de Almeida Silva, Cláudio José da Caparica, Álvaro de Almeida Silva, Hermann Freire Ferreira Lima e Branquinho, Luis Cesar |
dc.subject.por.fl_str_mv |
Sistemas magnéticos frustrados Simulações entrópicas Transições de fase |
topic |
Sistemas magnéticos frustrados Simulações entrópicas Transições de fase Magnetic frustrated systems Entropic simulations Phase transitions CIENCIAS EXATAS E DA TERRA::FISICA |
dc.subject.eng.fl_str_mv |
Magnetic frustrated systems Entropic simulations Phase transitions |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::FISICA |
description |
In this work, we present a new model for the study of frustrated magnetic systems proposed for a triangular lattice equipped with Ising type spins that takes into account not only the interaction between the spins but also the interaction due to the symmetry of a given substrate that corresponds to a host lattice of the magnetic system. This last interaction is related to a phenomenological parameter that is responsible for controlling the intensity of this interaction and that is proportional to a function representative of the symmetry of the host material in question. The interest behind this study seeks to characterize the influence of this interaction on the behavior of the spins through the evaluation of their main thermodynamic properties associated with a phase transition that imply a new way of modeling these systems pointing to a complementary view of what can promote frustration in magnetic systems in general. For the development of this research, we adopted entropic sampling simulations based on the Wang-Landau method, where a random walk in the energy space is performed, allowing to estimate the density of states g(E) while the energy distribution is generated in the histogram. Through this methodology, we calculated some thermodynamic properties of interest and managed to represent a phase diagram that illustrates the various forms that the system takes in function of a control parameter that is responsible for adjusting the different magnetic phases of the model. We also adopted the finite-size scale theory that allowed us to estimate the critical exponents corresponding to a certain class of universality that the system may belong to. As a result of this, we were able to establish the proper conclusions regarding the dynamics of the system and we became able to formulate the possible developments resulting from this work. |
publishDate |
2020 |
dc.date.accessioned.fl_str_mv |
2020-09-17T14:07:42Z |
dc.date.available.fl_str_mv |
2020-09-17T14:07:42Z |
dc.date.issued.fl_str_mv |
2020-03-16 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
NASCIMENTO, R. M. L. Frustração magnética em um modelo de Ising triangular com anisotropia rotacional. 2020. 48 f. Dissertação (Mestrado em Física) - Universidade Federal de Goiás, Goiânia, 2020. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/10735 |
dc.identifier.dark.fl_str_mv |
ark:/38995/001300000bvmc |
identifier_str_mv |
NASCIMENTO, R. M. L. Frustração magnética em um modelo de Ising triangular com anisotropia rotacional. 2020. 48 f. Dissertação (Mestrado em Física) - Universidade Federal de Goiás, Goiânia, 2020. ark:/38995/001300000bvmc |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/10735 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
54 |
dc.relation.confidence.fl_str_mv |
500 500 500 500 |
dc.relation.department.fl_str_mv |
26 |
dc.relation.cnpq.fl_str_mv |
185 |
dc.relation.sponsorship.fl_str_mv |
1 |
dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de Goiás |
dc.publisher.program.fl_str_mv |
Programa de Pós-graduação em Fisica (IF) |
dc.publisher.initials.fl_str_mv |
UFG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Instituto de Física - IF (RG) |
publisher.none.fl_str_mv |
Universidade Federal de Goiás |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFG instname:Universidade Federal de Goiás (UFG) instacron:UFG |
instname_str |
Universidade Federal de Goiás (UFG) |
instacron_str |
UFG |
institution |
UFG |
reponame_str |
Repositório Institucional da UFG |
collection |
Repositório Institucional da UFG |
bitstream.url.fl_str_mv |
http://repositorio.bc.ufg.br/tede/bitstreams/e1fb7410-9912-4e3d-b19e-7675b9f17bc2/download http://repositorio.bc.ufg.br/tede/bitstreams/a1f4c608-e77c-4206-9ff0-0709a92841c9/download http://repositorio.bc.ufg.br/tede/bitstreams/b478b12e-049e-4acd-82e4-042896f4b7bb/download |
bitstream.checksum.fl_str_mv |
8a4605be74aa9ea9d79846c1fba20a33 e39d27027a6cc9cb039ad269a5db8e34 0933a25fd88840ff7dbe6f364105ddd8 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
repository.mail.fl_str_mv |
tasesdissertacoes.bc@ufg.br |
_version_ |
1815172626192007168 |