Topological quantum phase transition in strongly correlated Kondo insulators in 1D

Autores
Lisandrini, Franco Thomas; Lobos, Alejandro Martin; Dobry, Ariel Oscar; Gazza, Claudio Javier
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate, by means of a eld-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered Haldane phase ground state.The model consists of a spin-1/2 Heisenberg chain coupled to a tight-binding chain via two competing Kondo exchange couplings of dierent type: a "s-wave" Kondo coupling (JsK), and a less common "p-wave" (JpK) Kondo coupling. While the first coupling is the standard Kondo interaction studied in many condensed-matter systems, the latter has been recently introduced by Alexandrov and Coleman [Phys. Rev. B 90, 115147 (2014)] as a possible mechanism leading to a topological Kondo-insulating ground state in one dimension. As a result of this competition, a topological quantum phase transition (TQPT) occurs in the system for a critical value of the ratio JsK/JpK, separating a (Haldane-type) topological phase from a topologically trivial ground state where the system can be essentially described as a product of local singlets. We study and characterize the TQPT by means of the magnetization prole, the entanglement entropy and the full entanglement spectrum of the ground state. Our results might be relevant to understand howtopologically-ordered phases of fermions emerge in strongly interacting quantum systems.
Fil: Lisandrini, Franco Thomas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Lobos, Alejandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Dobry, Ariel Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Gazza, Claudio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
topological insulators
Kondo Insulators
correlated electron systems
DMRG
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/50534
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/50534
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Topological quantum phase transition in strongly correlated Kondo insulators in 1DLisandrini, Franco ThomasLobos, Alejandro MartinDobry, Ariel OscarGazza, Claudio Javiertopological insulatorsKondo Insulatorscorrelated electron systemsDMRGhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate, by means of a eld-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered Haldane phase ground state.The model consists of a spin-1/2 Heisenberg chain coupled to a tight-binding chain via two competing Kondo exchange couplings of dierent type: a "s-wave" Kondo coupling (JsK), and a less common "p-wave" (JpK) Kondo coupling. While the first coupling is the standard Kondo interaction studied in many condensed-matter systems, the latter has been recently introduced by Alexandrov and Coleman [Phys. Rev. B 90, 115147 (2014)] as a possible mechanism leading to a topological Kondo-insulating ground state in one dimension. As a result of this competition, a topological quantum phase transition (TQPT) occurs in the system for a critical value of the ratio JsK/JpK, separating a (Haldane-type) topological phase from a topologically trivial ground state where the system can be essentially described as a product of local singlets. We study and characterize the TQPT by means of the magnetization prole, the entanglement entropy and the full entanglement spectrum of the ground state. Our results might be relevant to understand howtopologically-ordered phases of fermions emerge in strongly interacting quantum systems.Fil: Lisandrini, Franco Thomas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Lobos, Alejandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Dobry, Ariel Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Gazza, Claudio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaPapers in Physics2016-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50534Lisandrini, Franco Thomas; Lobos, Alejandro Martin; Dobry, Ariel Oscar; Gazza, Claudio Javier; Topological quantum phase transition in strongly correlated Kondo insulators in 1D; Papers in Physics; Papers in Physics; 08; 0; 9-2016; 80005-800151852-4249CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4279/PIP.080005info:eu-repo/semantics/altIdentifier/url/http://www.papersinphysics.org/papersinphysics/article/view/336info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:31:05Zoai:ri.conicet.gov.ar:11336/50534instacron: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 15:31:05.712CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Topological quantum phase transition in strongly correlated Kondo insulators in 1D
title Topological quantum phase transition in strongly correlated Kondo insulators in 1D
spellingShingle Topological quantum phase transition in strongly correlated Kondo insulators in 1D
Lisandrini, Franco Thomas
topological insulators
Kondo Insulators
correlated electron systems
DMRG
title_short Topological quantum phase transition in strongly correlated Kondo insulators in 1D
title_full Topological quantum phase transition in strongly correlated Kondo insulators in 1D
title_fullStr Topological quantum phase transition in strongly correlated Kondo insulators in 1D
title_full_unstemmed Topological quantum phase transition in strongly correlated Kondo insulators in 1D
title_sort Topological quantum phase transition in strongly correlated Kondo insulators in 1D
dc.creator.none.fl_str_mv Lisandrini, Franco Thomas
Lobos, Alejandro Martin
Dobry, Ariel Oscar
Gazza, Claudio Javier
author Lisandrini, Franco Thomas
author_facet Lisandrini, Franco Thomas
Lobos, Alejandro Martin
Dobry, Ariel Oscar
Gazza, Claudio Javier
author_role author
author2 Lobos, Alejandro Martin
Dobry, Ariel Oscar
Gazza, Claudio Javier
author2_role author
author
author
dc.subject.none.fl_str_mv topological insulators
Kondo Insulators
correlated electron systems
DMRG
topic topological insulators
Kondo Insulators
correlated electron systems
DMRG
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 investigate, by means of a eld-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered Haldane phase ground state.The model consists of a spin-1/2 Heisenberg chain coupled to a tight-binding chain via two competing Kondo exchange couplings of dierent type: a "s-wave" Kondo coupling (JsK), and a less common "p-wave" (JpK) Kondo coupling. While the first coupling is the standard Kondo interaction studied in many condensed-matter systems, the latter has been recently introduced by Alexandrov and Coleman [Phys. Rev. B 90, 115147 (2014)] as a possible mechanism leading to a topological Kondo-insulating ground state in one dimension. As a result of this competition, a topological quantum phase transition (TQPT) occurs in the system for a critical value of the ratio JsK/JpK, separating a (Haldane-type) topological phase from a topologically trivial ground state where the system can be essentially described as a product of local singlets. We study and characterize the TQPT by means of the magnetization prole, the entanglement entropy and the full entanglement spectrum of the ground state. Our results might be relevant to understand howtopologically-ordered phases of fermions emerge in strongly interacting quantum systems.
Fil: Lisandrini, Franco Thomas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Lobos, Alejandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Dobry, Ariel Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Gazza, Claudio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description We investigate, by means of a eld-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered Haldane phase ground state.The model consists of a spin-1/2 Heisenberg chain coupled to a tight-binding chain via two competing Kondo exchange couplings of dierent type: a "s-wave" Kondo coupling (JsK), and a less common "p-wave" (JpK) Kondo coupling. While the first coupling is the standard Kondo interaction studied in many condensed-matter systems, the latter has been recently introduced by Alexandrov and Coleman [Phys. Rev. B 90, 115147 (2014)] as a possible mechanism leading to a topological Kondo-insulating ground state in one dimension. As a result of this competition, a topological quantum phase transition (TQPT) occurs in the system for a critical value of the ratio JsK/JpK, separating a (Haldane-type) topological phase from a topologically trivial ground state where the system can be essentially described as a product of local singlets. We study and characterize the TQPT by means of the magnetization prole, the entanglement entropy and the full entanglement spectrum of the ground state. Our results might be relevant to understand howtopologically-ordered phases of fermions emerge in strongly interacting quantum systems.
publishDate 2016
dc.date.none.fl_str_mv 2016-09
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/11336/50534
Lisandrini, Franco Thomas; Lobos, Alejandro Martin; Dobry, Ariel Oscar; Gazza, Claudio Javier; Topological quantum phase transition in strongly correlated Kondo insulators in 1D; Papers in Physics; Papers in Physics; 08; 0; 9-2016; 80005-80015
1852-4249
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50534
identifier_str_mv Lisandrini, Franco Thomas; Lobos, Alejandro Martin; Dobry, Ariel Oscar; Gazza, Claudio Javier; Topological quantum phase transition in strongly correlated Kondo insulators in 1D; Papers in Physics; Papers in Physics; 08; 0; 9-2016; 80005-80015
1852-4249
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4279/PIP.080005
info:eu-repo/semantics/altIdentifier/url/http://www.papersinphysics.org/papersinphysics/article/view/336
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Papers in Physics
publisher.none.fl_str_mv Papers in Physics
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
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