Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders

Autores
Cabra, Daniel Carlos; Dobry, Ariel Oscar; Rossini, Gerardo Luis
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the long wavelength limit of a spin-½ Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a nonperturbative way. We perform a mean field analysis and then include the fluctuations in an exact way. This allows for a discussion of the phase diagram of the system and provides an effective-field theory for the low-energy excitations. The coset fermionic Lagrangian obtained corresponds toa perturbed SU(4)1 / U(1) conformal field theory (CFT). This effective theory is naturally embedded in a SU(2)2 x Z2 CFT, where perturbations are easily identified in terms of conformal operators in the two sectors. Crossed and zigzag ladders are also discussed using the same approach.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
antiferromagnetic Heisenberg spin ladders
field theory
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:10915/104431
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/104431
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Nonperturbative effective-field theory for two-leg antiferromagnetic spin laddersCabra, Daniel CarlosDobry, Ariel OscarRossini, Gerardo LuisCiencias ExactasFísicaantiferromagnetic Heisenberg spin laddersfield theoryWe study the long wavelength limit of a spin-½ Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a nonperturbative way. We perform a mean field analysis and then include the fluctuations in an exact way. This allows for a discussion of the phase diagram of the system and provides an effective-field theory for the low-energy excitations. The coset fermionic Lagrangian obtained corresponds toa perturbed SU(4)<sub>1</sub> / U(1) conformal field theory (CFT). This effective theory is naturally embedded in a SU(2)<sub>2</sub> x Z<sub>2</sub> CFT, where perturbations are easily identified in terms of conformal operators in the two sectors. Crossed and zigzag ladders are also discussed using the same approach.Facultad de Ciencias Exactas2001info: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/10915/104431enginfo:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/98120info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.63.144408info:eu-repo/semantics/altIdentifier/issn/0163-1829info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.63.144408info:eu-repo/semantics/altIdentifier/hdl/11336/98120info: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:UNLP2025-09-17T10:05:33Zoai:sedici.unlp.edu.ar:10915/104431Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-17 10:05:33.849SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
title Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
spellingShingle Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
Cabra, Daniel Carlos
Ciencias Exactas
Física
antiferromagnetic Heisenberg spin ladders
field theory
title_short Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
title_full Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
title_fullStr Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
title_full_unstemmed Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
title_sort Nonperturbative effective-field theory for two-leg antiferromagnetic spin ladders
dc.creator.none.fl_str_mv Cabra, Daniel Carlos
Dobry, Ariel Oscar
Rossini, Gerardo Luis
author Cabra, Daniel Carlos
author_facet Cabra, Daniel Carlos
Dobry, Ariel Oscar
Rossini, Gerardo Luis
author_role author
author2 Dobry, Ariel Oscar
Rossini, Gerardo Luis
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
antiferromagnetic Heisenberg spin ladders
field theory
topic Ciencias Exactas
Física
antiferromagnetic Heisenberg spin ladders
field theory
dc.description.none.fl_txt_mv We study the long wavelength limit of a spin-½ Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a nonperturbative way. We perform a mean field analysis and then include the fluctuations in an exact way. This allows for a discussion of the phase diagram of the system and provides an effective-field theory for the low-energy excitations. The coset fermionic Lagrangian obtained corresponds toa perturbed SU(4)<sub>1</sub> / U(1) conformal field theory (CFT). This effective theory is naturally embedded in a SU(2)<sub>2</sub> x Z<sub>2</sub> CFT, where perturbations are easily identified in terms of conformal operators in the two sectors. Crossed and zigzag ladders are also discussed using the same approach.
Facultad de Ciencias Exactas
description We study the long wavelength limit of a spin-½ Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a nonperturbative way. We perform a mean field analysis and then include the fluctuations in an exact way. This allows for a discussion of the phase diagram of the system and provides an effective-field theory for the low-energy excitations. The coset fermionic Lagrangian obtained corresponds toa perturbed SU(4)<sub>1</sub> / U(1) conformal field theory (CFT). This effective theory is naturally embedded in a SU(2)<sub>2</sub> x Z<sub>2</sub> CFT, where perturbations are easily identified in terms of conformal operators in the two sectors. Crossed and zigzag ladders are also discussed using the same approach.
publishDate 2001
dc.date.none.fl_str_mv 2001
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/10915/104431
url http://sedici.unlp.edu.ar/handle/10915/104431
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://hdl.handle.net/11336/98120
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.63.144408
info:eu-repo/semantics/altIdentifier/issn/0163-1829
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.63.144408
info:eu-repo/semantics/altIdentifier/hdl/11336/98120
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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