Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters

Detalhes bibliográficos
Autor(a) principal: Romitti, Marcos Vinicios
Data de Publicação: 2019
Tipo de documento: Tese
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações do UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/17547
Resumo: This work investigates the effects of the presence of random magnetic fields (RFs) in thermodynamic quantities that characterize the spin glass state (VS). We adopt a cluster spin model that considers long-range disordered interactions between magnetic clusters and short-range interactions (ferromagnetic, FE, or antiferromagnetic, AF) between spins belonging to the same cluster, as well as a local random magnetic field acting in each spin, which can follow a bimodal or Gaussian probability distribution. A replica approach is adopted to obtain an effective single cluster problem that is solved analytically. For the system with intracluster FE interactions, we discuss the behavior of order parameters, specific heat, nonlinear susceptibility and phase diagrams for different configurations of disorder. In the absence of a random field, the nonlinear susceptibility ( 3) exhibits a divergence in the freezing temperature (Tf ), while the specific heat shows a broad ma- ximum at a temperature T , which depends on the FE interaction. In particular, the intensity of the FE interaction is set to find T around 30% above the Tf , as expected for conventional VS systems. The presence of RFs alters this scenario, Cm still shows the maximum in T that is weakly dependent on RF intensity. However, the Tf is shifted to lower temperatures, considerably increasing the ratio T =Tf . In addition, the divergence in 3 is replaced by a maximum rounded at a temperature T , which becomes higher than Tf with increasing the RF intensity. As a consequence, we suggest that the paramagne- tic (PM) phase is unfolded in three regions: (i) a conventional paramagnetism of high temperatures (T > T ); (ii) a region with short-range order formation with spins frozen (T < T < T ) e (iii) a region with slow growth of free energy barriers that retard the spin dynamics before the transition to VS (Tf < T < T ). These results qualitatively reproduce some findings for the compound LiHoxY1�����xF4 such as the maximum rounded at 3, which is triggered by RFs and the deviation of the conventional relation between Tf and T . For the case with intracluster AF interactions, the results show that the VS region is gradually reduced with increasing the intensity of the AF couplings until only a PM phase is found. Thus, we highlight two distinct regions in relation to the disorder: (i) strong disorder one, where we have a PM/VS second-order phase transition with the RF decreasing Tf similarly to the case FE; (ii) weak disorder, where only the PM state with fully compensated clusters and no long range order is found. In this region (ii), when the RF intensity increase, we observe a VS phase induced by the random field. This result suggests that the presence of RFs can introduce a VS state in weakly disordered AF cluster system.
id UFSM_09c54061ff1508ec51c1c8f3634a7084
oai_identifier_str oai:repositorio.ufsm.br:1/17547
network_acronym_str UFSM
network_name_str Biblioteca Digital de Teses e Dissertações do UFSM
repository_id_str
spelling 2019-07-24T15:36:54Z2019-07-24T15:36:54Z2019-03-08http://repositorio.ufsm.br/handle/1/17547This work investigates the effects of the presence of random magnetic fields (RFs) in thermodynamic quantities that characterize the spin glass state (VS). We adopt a cluster spin model that considers long-range disordered interactions between magnetic clusters and short-range interactions (ferromagnetic, FE, or antiferromagnetic, AF) between spins belonging to the same cluster, as well as a local random magnetic field acting in each spin, which can follow a bimodal or Gaussian probability distribution. A replica approach is adopted to obtain an effective single cluster problem that is solved analytically. For the system with intracluster FE interactions, we discuss the behavior of order parameters, specific heat, nonlinear susceptibility and phase diagrams for different configurations of disorder. In the absence of a random field, the nonlinear susceptibility ( 3) exhibits a divergence in the freezing temperature (Tf ), while the specific heat shows a broad ma- ximum at a temperature T , which depends on the FE interaction. In particular, the intensity of the FE interaction is set to find T around 30% above the Tf , as expected for conventional VS systems. The presence of RFs alters this scenario, Cm still shows the maximum in T that is weakly dependent on RF intensity. However, the Tf is shifted to lower temperatures, considerably increasing the ratio T =Tf . In addition, the divergence in 3 is replaced by a maximum rounded at a temperature T , which becomes higher than Tf with increasing the RF intensity. As a consequence, we suggest that the paramagne- tic (PM) phase is unfolded in three regions: (i) a conventional paramagnetism of high temperatures (T > T ); (ii) a region with short-range order formation with spins frozen (T < T < T ) e (iii) a region with slow growth of free energy barriers that retard the spin dynamics before the transition to VS (Tf < T < T ). These results qualitatively reproduce some findings for the compound LiHoxY1�����xF4 such as the maximum rounded at 3, which is triggered by RFs and the deviation of the conventional relation between Tf and T . For the case with intracluster AF interactions, the results show that the VS region is gradually reduced with increasing the intensity of the AF couplings until only a PM phase is found. Thus, we highlight two distinct regions in relation to the disorder: (i) strong disorder one, where we have a PM/VS second-order phase transition with the RF decreasing Tf similarly to the case FE; (ii) weak disorder, where only the PM state with fully compensated clusters and no long range order is found. In this region (ii), when the RF intensity increase, we observe a VS phase induced by the random field. This result suggests that the presence of RFs can introduce a VS state in weakly disordered AF cluster system.Os efeitos da presença de campos magnéticos aleatórios (RFs) em quantidades termodi- nâmicas que caracterizam um estado vidro de spin (VS) são investigadas neste trabalho. Adotamos um modelo de spin com clusters que considera interações desordenadas de longo alcance entre momentos magnéticos de clusters e interações de curto alcance (fer- romagnética, FE, ou antiferromagnética, AF) entre spins pertencentes ao mesmo cluster, além de um campo magnético aleatório local atuando em cada spin, o qual pode seguir uma distribuição de probabilidade bimodal ou gaussiana. Uma abordagem com réplicas é adotada para obter um problema efetivo de cluster único que é resolvido analiticamente. Para o sistema com interações intracluster FE, discutimos o comportamento dos parâ- metros de ordem, calor específico, susceptibilidade não linear e diagramas de fases para diferentes configurações de desordem. Na ausência de campo aleatório, a susceptibilidade não linear ( 3) exibe uma divergência na temperatura de congelamento (Tf ), enquanto o calor específico (Cm) mostra um máximo amplo a uma temperatura T , que depende da interação FE. Em particular, a intensidade da interação FE é ajustada para localizar T em torno de 30% acima da Tf , como esperado para sistemas VS convencionais. A pre- sença de RFs altera este cenário, o Cm ainda mostra o máximo em T que é fracamente dependente da intensidade do RF. No entanto, a Tf é deslocada para temperaturas mais baixas, aumentando consideravelmente a relação T =Tf . Além disso, a divergência na 3 é substituída por um máximo arredondado a uma temperatura T , que se torna cada vez maior que a Tf com o aumento da intensidade do RF. Como consequência, sugerimos que a fase paramagnética (PM) é desdobrada em três regiões: (i) um paramagnetismo conven- cional de altas temperaturas (T > T ); (ii) uma região com formação de ordem de curto alcance com spins congelados (T < T < T ) e (iii) uma região com lento crescimento de barreiras de energia livre que retardam a dinâmica do spin antes da transição ao VS (Tf < T < T ). Esses resultados reproduzem qualitativamente algumas descobertas para o composto LiHoxY1xF4 como o máximo arredondado na 3, comportamento desencade- ado por RFs e o desvio da relação convencional entre Tf e T . Para o caso com interações intracluster AF, os resultados mostram que a região VS é gradativamente reduzida com aumento da intensidade dos acoplamentos AF, até que somente uma fase paramagnética é encontrada. Assim, destacamos duas regiões distintas em relação à desordem: (i) de- sordem forte, onde temos uma transição de fase de segunda ordem PM/VS com o RF decrescendo a Tf semelhante ao caso FE; (ii) desordem fraca, onde somente a fase PM com clusters totalmente compensados e sem ordem de longo alcance é encontrada. Nessa região (ii), quando a intensidade do RF é aumentada, observamos o surgimento da fase VS induzida pelo campo aleatório. Esse resultado sugere que a presença de RFs pode introduzir um estado VS em sistemas com cluster AF fracamente desordenados.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em FísicaUFSMBrasilFísicaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessCampos aleatóriosVidro de spinClustersDesordemRandom fieldsSpin glassClustersDisorderCNPQ::CIENCIAS EXATAS E DA TERRA::FISICAEfeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clustersEffects of random magnetic fields on spin glass systems with clustersinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisZimmer, Fábio Mallmannhttp://lattes.cnpq.br/6328420212181284Calegari, Eleonir Joãohttp://lattes.cnpq.br/6030572534512173Dorneles, Lucio Strazzaboscohttp://lattes.cnpq.br/7244173039310066Lazo, Matheus Jatkoskehttp://lattes.cnpq.br/2253520712024445Erichsen Junior, Rubemhttp://lattes.cnpq.br/2461173825552717http://lattes.cnpq.br/6332187236852172Romitti, Marcos Vinicios100500000006600e33a6993-09ff-40de-b1e8-1a3a0fd077d2a4758f18-d301-4e87-8457-417d13edeb52b1b7fd5e-74b1-4c31-a40c-bf85e3530c8f21612f60-7a0c-4741-b9e2-9a86b3c91a3cff9c4e61-015c-4352-9207-cf43c6cce53b0cb80cdc-f864-4d69-9d9c-fc8f9baac5f4reponame:Biblioteca Digital de Teses e Dissertações do UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALTES_PPGFISICA_2019_ROMITTI_MARCOS.pdfTES_PPGFISICA_2019_ROMITTI_MARCOS.pdfTese de Doutoradoapplication/pdf5774087http://repositorio.ufsm.br/bitstream/1/17547/1/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf395197702fb56e4bf7b40ce7c488a78fMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.ufsm.br/bitstream/1/17547/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/17547/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD53TEXTTES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.txtTES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.txtExtracted texttext/plain202546http://repositorio.ufsm.br/bitstream/1/17547/4/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.txtfbe4c1cb5139ac999b7829045c9d773eMD54THUMBNAILTES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.jpgTES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.jpgIM Thumbnailimage/jpeg4142http://repositorio.ufsm.br/bitstream/1/17547/5/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.jpg7303155d1fc7cec74c1f4352d212266cMD551/175472019-07-25 03:02:35.97oai:repositorio.ufsm.br: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 Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2019-07-25T06:02:35Biblioteca Digital de Teses e Dissertações do UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.por.fl_str_mv Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
dc.title.alternative.eng.fl_str_mv Effects of random magnetic fields on spin glass systems with clusters
title Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
spellingShingle Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
Romitti, Marcos Vinicios
Campos aleatórios
Vidro de spin
Clusters
Desordem
Random fields
Spin glass
Clusters
Disorder
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
title_short Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
title_full Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
title_fullStr Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
title_full_unstemmed Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
title_sort Efeitos de campos magnéticos aleatórios em sistemas de vidro de spin com clusters
author Romitti, Marcos Vinicios
author_facet Romitti, Marcos Vinicios
author_role author
dc.contributor.advisor1.fl_str_mv Zimmer, Fábio Mallmann
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/6328420212181284
dc.contributor.referee1.fl_str_mv Calegari, Eleonir João
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/6030572534512173
dc.contributor.referee2.fl_str_mv Dorneles, Lucio Strazzabosco
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/7244173039310066
dc.contributor.referee3.fl_str_mv Lazo, Matheus Jatkoske
dc.contributor.referee3Lattes.fl_str_mv http://lattes.cnpq.br/2253520712024445
dc.contributor.referee4.fl_str_mv Erichsen Junior, Rubem
dc.contributor.referee4Lattes.fl_str_mv http://lattes.cnpq.br/2461173825552717
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/6332187236852172
dc.contributor.author.fl_str_mv Romitti, Marcos Vinicios
contributor_str_mv Zimmer, Fábio Mallmann
Calegari, Eleonir João
Dorneles, Lucio Strazzabosco
Lazo, Matheus Jatkoske
Erichsen Junior, Rubem
dc.subject.por.fl_str_mv Campos aleatórios
Vidro de spin
Clusters
Desordem
topic Campos aleatórios
Vidro de spin
Clusters
Desordem
Random fields
Spin glass
Clusters
Disorder
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
dc.subject.eng.fl_str_mv Random fields
Spin glass
Clusters
Disorder
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
description This work investigates the effects of the presence of random magnetic fields (RFs) in thermodynamic quantities that characterize the spin glass state (VS). We adopt a cluster spin model that considers long-range disordered interactions between magnetic clusters and short-range interactions (ferromagnetic, FE, or antiferromagnetic, AF) between spins belonging to the same cluster, as well as a local random magnetic field acting in each spin, which can follow a bimodal or Gaussian probability distribution. A replica approach is adopted to obtain an effective single cluster problem that is solved analytically. For the system with intracluster FE interactions, we discuss the behavior of order parameters, specific heat, nonlinear susceptibility and phase diagrams for different configurations of disorder. In the absence of a random field, the nonlinear susceptibility ( 3) exhibits a divergence in the freezing temperature (Tf ), while the specific heat shows a broad ma- ximum at a temperature T , which depends on the FE interaction. In particular, the intensity of the FE interaction is set to find T around 30% above the Tf , as expected for conventional VS systems. The presence of RFs alters this scenario, Cm still shows the maximum in T that is weakly dependent on RF intensity. However, the Tf is shifted to lower temperatures, considerably increasing the ratio T =Tf . In addition, the divergence in 3 is replaced by a maximum rounded at a temperature T , which becomes higher than Tf with increasing the RF intensity. As a consequence, we suggest that the paramagne- tic (PM) phase is unfolded in three regions: (i) a conventional paramagnetism of high temperatures (T > T ); (ii) a region with short-range order formation with spins frozen (T < T < T ) e (iii) a region with slow growth of free energy barriers that retard the spin dynamics before the transition to VS (Tf < T < T ). These results qualitatively reproduce some findings for the compound LiHoxY1�����xF4 such as the maximum rounded at 3, which is triggered by RFs and the deviation of the conventional relation between Tf and T . For the case with intracluster AF interactions, the results show that the VS region is gradually reduced with increasing the intensity of the AF couplings until only a PM phase is found. Thus, we highlight two distinct regions in relation to the disorder: (i) strong disorder one, where we have a PM/VS second-order phase transition with the RF decreasing Tf similarly to the case FE; (ii) weak disorder, where only the PM state with fully compensated clusters and no long range order is found. In this region (ii), when the RF intensity increase, we observe a VS phase induced by the random field. This result suggests that the presence of RFs can introduce a VS state in weakly disordered AF cluster system.
publishDate 2019
dc.date.accessioned.fl_str_mv 2019-07-24T15:36:54Z
dc.date.available.fl_str_mv 2019-07-24T15:36:54Z
dc.date.issued.fl_str_mv 2019-03-08
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufsm.br/handle/1/17547
url http://repositorio.ufsm.br/handle/1/17547
dc.language.iso.fl_str_mv por
language por
dc.relation.cnpq.fl_str_mv 100500000006
dc.relation.confidence.fl_str_mv 600
dc.relation.authority.fl_str_mv e33a6993-09ff-40de-b1e8-1a3a0fd077d2
a4758f18-d301-4e87-8457-417d13edeb52
b1b7fd5e-74b1-4c31-a40c-bf85e3530c8f
21612f60-7a0c-4741-b9e2-9a86b3c91a3c
ff9c4e61-015c-4352-9207-cf43c6cce53b
0cb80cdc-f864-4d69-9d9c-fc8f9baac5f4
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Física
dc.publisher.initials.fl_str_mv UFSM
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Física
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações do UFSM
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Biblioteca Digital de Teses e Dissertações do UFSM
collection Biblioteca Digital de Teses e Dissertações do UFSM
bitstream.url.fl_str_mv http://repositorio.ufsm.br/bitstream/1/17547/1/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf
http://repositorio.ufsm.br/bitstream/1/17547/2/license_rdf
http://repositorio.ufsm.br/bitstream/1/17547/3/license.txt
http://repositorio.ufsm.br/bitstream/1/17547/4/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.txt
http://repositorio.ufsm.br/bitstream/1/17547/5/TES_PPGFISICA_2019_ROMITTI_MARCOS.pdf.jpg
bitstream.checksum.fl_str_mv 395197702fb56e4bf7b40ce7c488a78f
4460e5956bc1d1639be9ae6146a50347
2f0571ecee68693bd5cd3f17c1e075df
fbe4c1cb5139ac999b7829045c9d773e
7303155d1fc7cec74c1f4352d212266c
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações do UFSM - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv atendimento.sib@ufsm.br||tedebc@gmail.com
_version_ 1801485292353355776