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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/50534
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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 Técnicas2025-09-29T10:33:40Zoai: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:34982025-09-29 10:33:41.065CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.070432 |