Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field
- Autores
- Ghioldi, Esteban Agustín; Gonzalez, Matías Gabriel; Zhang, Shang Shun; Kamiya, Yoshitomo; Manuel, Luis Oscar; Trumper, Adolfo Emilio; Batista, Cristian D.
- Año de publicación
- 2018
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We compute the zero-temperature dynamical structure factor S(q,ω) of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations (1/N corrections) of the saddle-point solution. While the ground state of this model exhibits a well-known 120 -magnetic ordering, experimental observations have revealed a strong quantum character of the excitation spectrum. We conjecture that this phenomenon arises from the proximity of the ground state of the TLHM to the quantum melting point separating the magnetically ordered and spin-liquid states. Within this scenario, magnons are described as collective modes (two-spinon bound states) of a spinon condensate (Higgs phase) that spontaneously break the SU(2) symmetry of the TLHM. Crucial to our results is the proper account of this spontaneous symmetry breaking. The main qualitative difference relative to semiclassical treatments (1/S expansion) is the presence of a high-energy spinon continuum extending up to about three times the single-magnon bandwidth. In addition, the magnitude of the ordered moment (m=0.224) agrees very well with numerical results and the low-energy part of the single-magnon dispersion is in very good agreement with series expansions. Our results indicate that the Schwinger boson approach is an adequate starting point for describing the excitation spectrum of some magnetically ordered compounds that are near the quantum melting point separating this Higgs phase from the deconfined spin-liquid state.
Fil: Ghioldi, Esteban Agustín. 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: Gonzalez, Matías Gabriel. 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: Zhang, Shang Shun. University of Tennessee; Estados Unidos
Fil: Kamiya, Yoshitomo. RIKEN; Japón
Fil: Manuel, Luis 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
Fil: Trumper, Adolfo Emilio. 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: Batista, Cristian D.. 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 - Materia
-
MAGNETIC FRUSTRATION
NEUTRON SCATTERING
SPINON
TRIANGULAR HEISENBERG MODEL - 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:11336/88511
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Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean fieldGhioldi, Esteban AgustínGonzalez, Matías GabrielZhang, Shang ShunKamiya, YoshitomoManuel, Luis OscarTrumper, Adolfo EmilioBatista, Cristian D.MAGNETIC FRUSTRATIONNEUTRON SCATTERINGSPINONTRIANGULAR HEISENBERG MODELhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We compute the zero-temperature dynamical structure factor S(q,ω) of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations (1/N corrections) of the saddle-point solution. While the ground state of this model exhibits a well-known 120 -magnetic ordering, experimental observations have revealed a strong quantum character of the excitation spectrum. We conjecture that this phenomenon arises from the proximity of the ground state of the TLHM to the quantum melting point separating the magnetically ordered and spin-liquid states. Within this scenario, magnons are described as collective modes (two-spinon bound states) of a spinon condensate (Higgs phase) that spontaneously break the SU(2) symmetry of the TLHM. Crucial to our results is the proper account of this spontaneous symmetry breaking. The main qualitative difference relative to semiclassical treatments (1/S expansion) is the presence of a high-energy spinon continuum extending up to about three times the single-magnon bandwidth. In addition, the magnitude of the ordered moment (m=0.224) agrees very well with numerical results and the low-energy part of the single-magnon dispersion is in very good agreement with series expansions. Our results indicate that the Schwinger boson approach is an adequate starting point for describing the excitation spectrum of some magnetically ordered compounds that are near the quantum melting point separating this Higgs phase from the deconfined spin-liquid state.Fil: Ghioldi, Esteban Agustín. 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: Gonzalez, Matías Gabriel. 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: Zhang, Shang Shun. University of Tennessee; Estados UnidosFil: Kamiya, Yoshitomo. RIKEN; JapónFil: Manuel, Luis 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; ArgentinaFil: Trumper, Adolfo Emilio. 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: Batista, Cristian D.. 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; ArgentinaAmerican Physical Society2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88511Ghioldi, Esteban Agustín; Gonzalez, Matías Gabriel; Zhang, Shang Shun; Kamiya, Yoshitomo; Manuel, Luis Oscar; et al.; Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field; American Physical Society; Physical Review B; 98; 18; 11-2018; 1-23; 1844032469-9950CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevB.98.184403info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.98.184403info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:19Zoai:ri.conicet.gov.ar:11336/88511instacron: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 09:36:20.034CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
title |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
spellingShingle |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field Ghioldi, Esteban Agustín MAGNETIC FRUSTRATION NEUTRON SCATTERING SPINON TRIANGULAR HEISENBERG MODEL |
title_short |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
title_full |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
title_fullStr |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
title_full_unstemmed |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
title_sort |
Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field |
dc.creator.none.fl_str_mv |
Ghioldi, Esteban Agustín Gonzalez, Matías Gabriel Zhang, Shang Shun Kamiya, Yoshitomo Manuel, Luis Oscar Trumper, Adolfo Emilio Batista, Cristian D. |
author |
Ghioldi, Esteban Agustín |
author_facet |
Ghioldi, Esteban Agustín Gonzalez, Matías Gabriel Zhang, Shang Shun Kamiya, Yoshitomo Manuel, Luis Oscar Trumper, Adolfo Emilio Batista, Cristian D. |
author_role |
author |
author2 |
Gonzalez, Matías Gabriel Zhang, Shang Shun Kamiya, Yoshitomo Manuel, Luis Oscar Trumper, Adolfo Emilio Batista, Cristian D. |
author2_role |
author author author author author author |
dc.subject.none.fl_str_mv |
MAGNETIC FRUSTRATION NEUTRON SCATTERING SPINON TRIANGULAR HEISENBERG MODEL |
topic |
MAGNETIC FRUSTRATION NEUTRON SCATTERING SPINON TRIANGULAR HEISENBERG MODEL |
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 compute the zero-temperature dynamical structure factor S(q,ω) of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations (1/N corrections) of the saddle-point solution. While the ground state of this model exhibits a well-known 120 -magnetic ordering, experimental observations have revealed a strong quantum character of the excitation spectrum. We conjecture that this phenomenon arises from the proximity of the ground state of the TLHM to the quantum melting point separating the magnetically ordered and spin-liquid states. Within this scenario, magnons are described as collective modes (two-spinon bound states) of a spinon condensate (Higgs phase) that spontaneously break the SU(2) symmetry of the TLHM. Crucial to our results is the proper account of this spontaneous symmetry breaking. The main qualitative difference relative to semiclassical treatments (1/S expansion) is the presence of a high-energy spinon continuum extending up to about three times the single-magnon bandwidth. In addition, the magnitude of the ordered moment (m=0.224) agrees very well with numerical results and the low-energy part of the single-magnon dispersion is in very good agreement with series expansions. Our results indicate that the Schwinger boson approach is an adequate starting point for describing the excitation spectrum of some magnetically ordered compounds that are near the quantum melting point separating this Higgs phase from the deconfined spin-liquid state. Fil: Ghioldi, Esteban Agustín. 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: Gonzalez, Matías Gabriel. 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: Zhang, Shang Shun. University of Tennessee; Estados Unidos Fil: Kamiya, Yoshitomo. RIKEN; Japón Fil: Manuel, Luis 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 Fil: Trumper, Adolfo Emilio. 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: Batista, Cristian D.. 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 |
description |
We compute the zero-temperature dynamical structure factor S(q,ω) of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations (1/N corrections) of the saddle-point solution. While the ground state of this model exhibits a well-known 120 -magnetic ordering, experimental observations have revealed a strong quantum character of the excitation spectrum. We conjecture that this phenomenon arises from the proximity of the ground state of the TLHM to the quantum melting point separating the magnetically ordered and spin-liquid states. Within this scenario, magnons are described as collective modes (two-spinon bound states) of a spinon condensate (Higgs phase) that spontaneously break the SU(2) symmetry of the TLHM. Crucial to our results is the proper account of this spontaneous symmetry breaking. The main qualitative difference relative to semiclassical treatments (1/S expansion) is the presence of a high-energy spinon continuum extending up to about three times the single-magnon bandwidth. In addition, the magnitude of the ordered moment (m=0.224) agrees very well with numerical results and the low-energy part of the single-magnon dispersion is in very good agreement with series expansions. Our results indicate that the Schwinger boson approach is an adequate starting point for describing the excitation spectrum of some magnetically ordered compounds that are near the quantum melting point separating this Higgs phase from the deconfined spin-liquid state. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-11 |
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/11336/88511 Ghioldi, Esteban Agustín; Gonzalez, Matías Gabriel; Zhang, Shang Shun; Kamiya, Yoshitomo; Manuel, Luis Oscar; et al.; Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field; American Physical Society; Physical Review B; 98; 18; 11-2018; 1-23; 184403 2469-9950 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/88511 |
identifier_str_mv |
Ghioldi, Esteban Agustín; Gonzalez, Matías Gabriel; Zhang, Shang Shun; Kamiya, Yoshitomo; Manuel, Luis Oscar; et al.; Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field; American Physical Society; Physical Review B; 98; 18; 11-2018; 1-23; 184403 2469-9950 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevB.98.184403 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.98.184403 |
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 |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
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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1844613138279825408 |
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13.070432 |