Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping

Autores
Bottesi, Federico L.; Zemba, Guillermo Raul
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).
Fil: Bottesi, Federico L.. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina
Fil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina
Materia
MOTT TRANSITION
CONFORMAL FIELD THEORY
CHERN-SIMONS THEORY
EFFECTIVE FIELD THEORY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/110679
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space MappingBottesi, Federico L.Zemba, Guillermo RaulMOTT TRANSITIONCONFORMAL FIELD THEORYCHERN-SIMONS THEORYEFFECTIVE FIELD THEORYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).Fil: Bottesi, Federico L.. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; ArgentinaFil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; ArgentinaScientific Research Publishing2015-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/110679Bottesi, Federico L.; Zemba, Guillermo Raul; Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping; Scientific Research Publishing; Journal of Modern Physics; 6; 5; 4-2015; 634-6392153-1196CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2015.65069info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=55833info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:36:38Zoai:ri.conicet.gov.ar:11336/110679instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:36:38.419CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
title Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
spellingShingle Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
Bottesi, Federico L.
MOTT TRANSITION
CONFORMAL FIELD THEORY
CHERN-SIMONS THEORY
EFFECTIVE FIELD THEORY
title_short Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
title_full Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
title_fullStr Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
title_full_unstemmed Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
title_sort Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
dc.creator.none.fl_str_mv Bottesi, Federico L.
Zemba, Guillermo Raul
author Bottesi, Federico L.
author_facet Bottesi, Federico L.
Zemba, Guillermo Raul
author_role author
author2 Zemba, Guillermo Raul
author2_role author
dc.subject.none.fl_str_mv MOTT TRANSITION
CONFORMAL FIELD THEORY
CHERN-SIMONS THEORY
EFFECTIVE FIELD THEORY
topic MOTT TRANSITION
CONFORMAL FIELD THEORY
CHERN-SIMONS THEORY
EFFECTIVE FIELD THEORY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).
Fil: Bottesi, Federico L.. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina
Fil: Zemba, Guillermo Raul. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires". Facultad de Ciencias Fisicomatemáticas e Ingeniería; Argentina
description We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).
publishDate 2015
dc.date.none.fl_str_mv 2015-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/110679
Bottesi, Federico L.; Zemba, Guillermo Raul; Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping; Scientific Research Publishing; Journal of Modern Physics; 6; 5; 4-2015; 634-639
2153-1196
CONICET Digital
CONICET
url http://hdl.handle.net/11336/110679
identifier_str_mv Bottesi, Federico L.; Zemba, Guillermo Raul; Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping; Scientific Research Publishing; Journal of Modern Physics; 6; 5; 4-2015; 634-639
2153-1196
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2015.65069
info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=55833
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Scientific Research Publishing
publisher.none.fl_str_mv Scientific Research Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846082833111580672
score 13.22299

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