Extended Ginzburg-Landau theory and spatial scales of band condensates

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: SARAIVA, Tiago Teixeira
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Fisica
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: https://repositorio.ufpe.br/handle/123456789/34632
Resumo: The Thesis is focused on superconducting phenomena that can not be captured by the standard Ginzburg-Landau (GL) theory. Furthermore, the phenomena of interest can hardly be investigated in necessary detail by means of the full microscopic formalism, due to abnormal technical difficulties. This is why the present study is performed within the extended GL formalism (SHANENKO et al., 2011; VAGOV et al., 2012) that goes to one order beyond the GL theory in the perturbation expansion of the microscopic equations over the proximity to Tᴄ but can still be analytically solved in many physically important cases. One of those phenomena is the formation of a finite intertype domain (AUER; ULLMAIER, 1973; BRANDT; DAS, 2011; VAGOV et al., 2016) in the phase diagram between standard superconductivity types I and II, where the superconducting magnetic response cannot be classified in the conventional terms. First evidences of such a domain date back to 1960’s but little was known about effects of the anisotropy on its formation. This point has been clarified in the present Thesis. It has been recently demonstrated (VAGOV et al., 2016) that the intertype domain is expanded in the presence of multiple bands (multi-band superconductors) with different spatial scales. Important competition between band length scales arises from nonlocal effects beyond the standard GL approach (SARAIVA et al., 2017). It has been demonstrated in the Thesis that a notable deviation between the coherent scales of different band condensates can appear even far beyond the regime of nearly decoupled bands. This allows for a deeper insight on how the band length scales depend on microscopic parameters and will certainly be appealing to experimentalists, as the conclusions are relevant for the spatial distribution of the superconducting condensate in the vortex core of multi-band materials and their possible intertype magnetic response.
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spelling Extended Ginzburg-Landau theory and spatial scales of band condensatesSupercondutoresMultibandasComprimento de coerênciaDomínio intertipoThe Thesis is focused on superconducting phenomena that can not be captured by the standard Ginzburg-Landau (GL) theory. Furthermore, the phenomena of interest can hardly be investigated in necessary detail by means of the full microscopic formalism, due to abnormal technical difficulties. This is why the present study is performed within the extended GL formalism (SHANENKO et al., 2011; VAGOV et al., 2012) that goes to one order beyond the GL theory in the perturbation expansion of the microscopic equations over the proximity to Tᴄ but can still be analytically solved in many physically important cases. One of those phenomena is the formation of a finite intertype domain (AUER; ULLMAIER, 1973; BRANDT; DAS, 2011; VAGOV et al., 2016) in the phase diagram between standard superconductivity types I and II, where the superconducting magnetic response cannot be classified in the conventional terms. First evidences of such a domain date back to 1960’s but little was known about effects of the anisotropy on its formation. This point has been clarified in the present Thesis. It has been recently demonstrated (VAGOV et al., 2016) that the intertype domain is expanded in the presence of multiple bands (multi-band superconductors) with different spatial scales. Important competition between band length scales arises from nonlocal effects beyond the standard GL approach (SARAIVA et al., 2017). It has been demonstrated in the Thesis that a notable deviation between the coherent scales of different band condensates can appear even far beyond the regime of nearly decoupled bands. This allows for a deeper insight on how the band length scales depend on microscopic parameters and will certainly be appealing to experimentalists, as the conclusions are relevant for the spatial distribution of the superconducting condensate in the vortex core of multi-band materials and their possible intertype magnetic response.Esta tese está focada em fenômenos que não podem ser capturados pela teoria de Ginzburg-Landau (GL) padrão. Por outro lado, esses dificilmente podem ser investigados em tal nível de detalhe pela teoria microscópica devido a dificuldades técnicas. Portanto, o presente trabalho é realizado no âmbito do formalismo de Ginzburg-Landau Estendido (SHANENKO et al., 2011; VAGOV et al., 2012), que vai até uma ordem além da teoria GL na expansão perturbativa das equações microscópicas na vizinhança da temperatura crítica mas que ainda pode ser resolvido analiticamente em muitos casos importantes fisicamente. Um desses fenômenos é a formação de um domínio intertipo (AUER; ULLMAIER, 1973; BRANDT; DAS, 2011; VAGOV et al., 2016), no diagrama de fases, entre os tipos I e II, onde a resposta magnética do supercondutor não pode ser classificada nos termos convencionais. As primeiras evidências de tal domínio aconteceram nos anos 60 mas muito pouco se sabia sobre os efeitos da anisotropia na sua formação. Esse ponto foi clarificado nessa tese. Recentemente, foi demonstrado (VAGOV et al., 2016) que o domínio intertipo é expandido na presença de múltiplas bandas supercondutoras (supercondutores multi-bandas) com escalas espaciais diferentes. Uma competição importante entre as escalas de comprimento dessas bandas é gerada por efeitos não-locais além do modelo GL padrão (SARAIVA et al., 2017). Nessa tese também foi demonstrado que uma diferença notável entre as comprimentos de coerência dos condensados de bandas diferentes podem aparecer mesmo muito além do regime de acoplamento fraco entre bandas. Isso possibilitou um entendimento mais profundo de como as escalas de comprimento dependem dos parâmetros microscópicos e certamente serão de interesse experimental, um vez que as conclusões são relevantes no que tange à distribuição espacial do condensado supercondutor no núcleo dos vórtices em materiais multi-bandas e suas possíveis reposta magnética intertipo.Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em FisicaSHANENKO, ArkadySILVA, Clécio Clemente de Souzahttp://lattes.cnpq.br/5925065660188357http://lattes.cnpq.br/1367814169798369http://lattes.cnpq.br/8076432608646837SARAIVA, Tiago Teixeira2019-10-15T16:57:13Z2019-10-15T16:57:13Z2018-05-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfhttps://repositorio.ufpe.br/handle/123456789/34632engAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPE2019-10-25T13:59:12Zoai:repositorio.ufpe.br:123456789/34632Repositório InstitucionalPUBhttps://repositorio.ufpe.br/oai/requestattena@ufpe.bropendoar:22212019-10-25T13:59:12Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)false
dc.title.none.fl_str_mv Extended Ginzburg-Landau theory and spatial scales of band condensates
title Extended Ginzburg-Landau theory and spatial scales of band condensates
spellingShingle Extended Ginzburg-Landau theory and spatial scales of band condensates
SARAIVA, Tiago Teixeira
Supercondutores
Multibandas
Comprimento de coerência
Domínio intertipo
title_short Extended Ginzburg-Landau theory and spatial scales of band condensates
title_full Extended Ginzburg-Landau theory and spatial scales of band condensates
title_fullStr Extended Ginzburg-Landau theory and spatial scales of band condensates
title_full_unstemmed Extended Ginzburg-Landau theory and spatial scales of band condensates
title_sort Extended Ginzburg-Landau theory and spatial scales of band condensates
author SARAIVA, Tiago Teixeira
author_facet SARAIVA, Tiago Teixeira
author_role author
dc.contributor.none.fl_str_mv SHANENKO, Arkady
SILVA, Clécio Clemente de Souza
http://lattes.cnpq.br/5925065660188357
http://lattes.cnpq.br/1367814169798369
http://lattes.cnpq.br/8076432608646837
dc.contributor.author.fl_str_mv SARAIVA, Tiago Teixeira
dc.subject.por.fl_str_mv Supercondutores
Multibandas
Comprimento de coerência
Domínio intertipo
topic Supercondutores
Multibandas
Comprimento de coerência
Domínio intertipo
description The Thesis is focused on superconducting phenomena that can not be captured by the standard Ginzburg-Landau (GL) theory. Furthermore, the phenomena of interest can hardly be investigated in necessary detail by means of the full microscopic formalism, due to abnormal technical difficulties. This is why the present study is performed within the extended GL formalism (SHANENKO et al., 2011; VAGOV et al., 2012) that goes to one order beyond the GL theory in the perturbation expansion of the microscopic equations over the proximity to Tᴄ but can still be analytically solved in many physically important cases. One of those phenomena is the formation of a finite intertype domain (AUER; ULLMAIER, 1973; BRANDT; DAS, 2011; VAGOV et al., 2016) in the phase diagram between standard superconductivity types I and II, where the superconducting magnetic response cannot be classified in the conventional terms. First evidences of such a domain date back to 1960’s but little was known about effects of the anisotropy on its formation. This point has been clarified in the present Thesis. It has been recently demonstrated (VAGOV et al., 2016) that the intertype domain is expanded in the presence of multiple bands (multi-band superconductors) with different spatial scales. Important competition between band length scales arises from nonlocal effects beyond the standard GL approach (SARAIVA et al., 2017). It has been demonstrated in the Thesis that a notable deviation between the coherent scales of different band condensates can appear even far beyond the regime of nearly decoupled bands. This allows for a deeper insight on how the band length scales depend on microscopic parameters and will certainly be appealing to experimentalists, as the conclusions are relevant for the spatial distribution of the superconducting condensate in the vortex core of multi-band materials and their possible intertype magnetic response.
publishDate 2018
dc.date.none.fl_str_mv 2018-05-08
2019-10-15T16:57:13Z
2019-10-15T16:57:13Z
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 https://repositorio.ufpe.br/handle/123456789/34632
url https://repositorio.ufpe.br/handle/123456789/34632
dc.language.iso.fl_str_mv eng
language eng
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.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Fisica
publisher.none.fl_str_mv Universidade Federal de Pernambuco
UFPE
Brasil
Programa de Pos Graduacao em Fisica
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPE
instname:Universidade Federal de Pernambuco (UFPE)
instacron:UFPE
instname_str Universidade Federal de Pernambuco (UFPE)
instacron_str UFPE
institution UFPE
reponame_str Repositório Institucional da UFPE
collection Repositório Institucional da UFPE
repository.name.fl_str_mv Repositório Institucional da UFPE - Universidade Federal de Pernambuco (UFPE)
repository.mail.fl_str_mv attena@ufpe.br
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