Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect

Autores
Naón, Carlos María
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays with distance with the same critical exponent as the Ising model. The procedure is straightforwardly extended to take into account the presence of a line defect. Thus we find that in these altered models the critical index of the magnetic correlation on the defect coincides with the one of the defective two-dimensional Ising or Bariev model.
Instituto de Física La Plata
Materia
Física
Critical exponent
Critical phenomena
Continuum (measurement)
Critical index
Quantum electrodynamics
Mathematics
Mathematical physics
Ising model
Fermion
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126188
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126188
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defectNaón, Carlos MaríaFísicaCritical exponentCritical phenomenaContinuum (measurement)Critical indexQuantum electrodynamicsMathematicsMathematical physicsIsing modelFermionWe consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays with distance with the same critical exponent as the Ising model. The procedure is straightforwardly extended to take into account the presence of a line defect. Thus we find that in these altered models the critical index of the magnetic correlation on the defect coincides with the one of the defective two-dimensional Ising or Bariev model.Instituto de Física La Plata2009-05-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126188enginfo:eu-repo/semantics/altIdentifier/issn/1539-3755info:eu-repo/semantics/altIdentifier/issn/1550-2376info:eu-repo/semantics/altIdentifier/arxiv/0812.4263info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.79.051112info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:22:06Zoai:sedici.unlp.edu.ar:10915/126188Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:22:06.362SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
title Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
spellingShingle Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
Naón, Carlos María
Física
Critical exponent
Critical phenomena
Continuum (measurement)
Critical index
Quantum electrodynamics
Mathematics
Mathematical physics
Ising model
Fermion
title_short Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
title_full Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
title_fullStr Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
title_full_unstemmed Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
title_sort Critical behavior of the spin correlation function in the Ashkin-Teller and Baxter models with a line defect
dc.creator.none.fl_str_mv Naón, Carlos María
author Naón, Carlos María
author_facet Naón, Carlos María
author_role author
dc.subject.none.fl_str_mv Física
Critical exponent
Critical phenomena
Continuum (measurement)
Critical index
Quantum electrodynamics
Mathematics
Mathematical physics
Ising model
Fermion
topic Física
Critical exponent
Critical phenomena
Continuum (measurement)
Critical index
Quantum electrodynamics
Mathematics
Mathematical physics
Ising model
Fermion
dc.description.none.fl_txt_mv We consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays with distance with the same critical exponent as the Ising model. The procedure is straightforwardly extended to take into account the presence of a line defect. Thus we find that in these altered models the critical index of the magnetic correlation on the defect coincides with the one of the defective two-dimensional Ising or Bariev model.
Instituto de Física La Plata
description We consider the critical spin-spin correlation function of the Ashkin-Teller and Baxter models. By using path-integral techniques in the continuum description of these models in terms of fermion fields, we show that the correlation decays with distance with the same critical exponent as the Ising model. The procedure is straightforwardly extended to take into account the presence of a line defect. Thus we find that in these altered models the critical index of the magnetic correlation on the defect coincides with the one of the defective two-dimensional Ising or Bariev model.
publishDate 2009
dc.date.none.fl_str_mv 2009-05-14
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/126188
url http://sedici.unlp.edu.ar/handle/10915/126188
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1539-3755
info:eu-repo/semantics/altIdentifier/issn/1550-2376
info:eu-repo/semantics/altIdentifier/arxiv/0812.4263
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.79.051112
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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