Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/28810 |
Resumo: | We apply the functional field-theoretical renormalization group methodology up to twoloop order to the 2D attractive Hubbard model for weak bare interaction. Since the momentum-resolved quasiparticle weight ZΛ(p) is always close to unity in the RG flow, higher-order quantum fluctuations do not affect crucially the low-energy dynamics in this case. As a result, we observe a s-wave singlet superconducting quasi-long-range order phase as a function of doping in good agreement with other numerical methods. To assess the role played by the fluctuations we compare the critical temperature Tc in which the quasi-long-range superconducting order phase takes place within our approach with mean-field theory and quantum Monte Carlo results. |
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Ferraz Filho, ÁlvaroCorrea, EberthFreire, Hermann2020-04-16T22:49:03Z2020-04-16T22:49:03Z2011-11-10CORREA, Eberth; FREIRE, Hermann; FERRAZ FILHO, Alvaro. Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG. International Journal Of Modern Physics B, [s.l.], v. 25, n. 28, p. 3691-3706, 10 nov. 2011. ISSN 0217-9792. DOI https://doi.org/10.1142/S0217979211102149. Disponível em: https://www.worldscientific.com/doi/abs/10.1142/S0217979211102149. Acesso em: 16 abr. 2020. .0217-9792 (print), 1793-6578 (online)https://repositorio.ufrn.br/jspui/handle/123456789/2881010.1142/S0217979211102149Renormalization groupAttractive Hubbard modelsuperconductivitySuperconductivity in the 2D attractive Hubbard model within a functional field-theorical RGinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe apply the functional field-theoretical renormalization group methodology up to twoloop order to the 2D attractive Hubbard model for weak bare interaction. Since the momentum-resolved quasiparticle weight ZΛ(p) is always close to unity in the RG flow, higher-order quantum fluctuations do not affect crucially the low-energy dynamics in this case. As a result, we observe a s-wave singlet superconducting quasi-long-range order phase as a function of doping in good agreement with other numerical methods. To assess the role played by the fluctuations we compare the critical temperature Tc in which the quasi-long-range superconducting order phase takes place within our approach with mean-field theory and quantum Monte Carlo results.engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdfSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdfapplication/pdf461795https://repositorio.ufrn.br/bitstream/123456789/28810/1/SUPERCONDUCTIVITY%20IN%20THE%202D%20ATTRACTIVE%20HUBBARD%20MODEL%20WITHIN%20A%20FUNCTIONAL%20FIELD-THEORETICAL%20RG_2011.pdf4700fe7e5c1066c2fbdb30f95a99641bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/28810/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdf.txtSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdf.txtExtracted texttext/plain40549https://repositorio.ufrn.br/bitstream/123456789/28810/3/SUPERCONDUCTIVITY%20IN%20THE%202D%20ATTRACTIVE%20HUBBARD%20MODEL%20WITHIN%20A%20FUNCTIONAL%20FIELD-THEORETICAL%20RG_2011.pdf.txt5562c2c7258e246b771c6b4673b57ad4MD53THUMBNAILSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdf.jpgSUPERCONDUCTIVITY IN THE 2D ATTRACTIVE HUBBARD MODEL WITHIN A FUNCTIONAL FIELD-THEORETICAL RG_2011.pdf.jpgGenerated Thumbnailimage/jpeg1370https://repositorio.ufrn.br/bitstream/123456789/28810/4/SUPERCONDUCTIVITY%20IN%20THE%202D%20ATTRACTIVE%20HUBBARD%20MODEL%20WITHIN%20A%20FUNCTIONAL%20FIELD-THEORETICAL%20RG_2011.pdf.jpg0becdf5878cb039d118694635f730695MD54123456789/288102020-04-19 04:47:38.038oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-04-19T07:47:38Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
title |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
spellingShingle |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG Ferraz Filho, Álvaro Renormalization group Attractive Hubbard model superconductivity |
title_short |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
title_full |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
title_fullStr |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
title_full_unstemmed |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
title_sort |
Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG |
author |
Ferraz Filho, Álvaro |
author_facet |
Ferraz Filho, Álvaro Correa, Eberth Freire, Hermann |
author_role |
author |
author2 |
Correa, Eberth Freire, Hermann |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Ferraz Filho, Álvaro Correa, Eberth Freire, Hermann |
dc.subject.por.fl_str_mv |
Renormalization group Attractive Hubbard model superconductivity |
topic |
Renormalization group Attractive Hubbard model superconductivity |
description |
We apply the functional field-theoretical renormalization group methodology up to twoloop order to the 2D attractive Hubbard model for weak bare interaction. Since the momentum-resolved quasiparticle weight ZΛ(p) is always close to unity in the RG flow, higher-order quantum fluctuations do not affect crucially the low-energy dynamics in this case. As a result, we observe a s-wave singlet superconducting quasi-long-range order phase as a function of doping in good agreement with other numerical methods. To assess the role played by the fluctuations we compare the critical temperature Tc in which the quasi-long-range superconducting order phase takes place within our approach with mean-field theory and quantum Monte Carlo results. |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011-11-10 |
dc.date.accessioned.fl_str_mv |
2020-04-16T22:49:03Z |
dc.date.available.fl_str_mv |
2020-04-16T22:49:03Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
CORREA, Eberth; FREIRE, Hermann; FERRAZ FILHO, Alvaro. Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG. International Journal Of Modern Physics B, [s.l.], v. 25, n. 28, p. 3691-3706, 10 nov. 2011. ISSN 0217-9792. DOI https://doi.org/10.1142/S0217979211102149. Disponível em: https://www.worldscientific.com/doi/abs/10.1142/S0217979211102149. Acesso em: 16 abr. 2020. . |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/28810 |
dc.identifier.issn.none.fl_str_mv |
0217-9792 (print), 1793-6578 (online) |
dc.identifier.doi.none.fl_str_mv |
10.1142/S0217979211102149 |
identifier_str_mv |
CORREA, Eberth; FREIRE, Hermann; FERRAZ FILHO, Alvaro. Superconductivity in the 2D attractive Hubbard model within a functional field-theorical RG. International Journal Of Modern Physics B, [s.l.], v. 25, n. 28, p. 3691-3706, 10 nov. 2011. ISSN 0217-9792. DOI https://doi.org/10.1142/S0217979211102149. Disponível em: https://www.worldscientific.com/doi/abs/10.1142/S0217979211102149. Acesso em: 16 abr. 2020. . 0217-9792 (print), 1793-6578 (online) 10.1142/S0217979211102149 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/28810 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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