On the fermionization of the XYZ spin Heisenberg chain (algebra).

We present a generalization of the Yang-Baxter relation (relations (9), our first point) applicable to a onedimensional asymmetric chain (XYZ) with creation and annihilation operators for fermions, instead of the usual relation with spins. The role of a sign associated to the modulus k of the Jacobi...

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Detalles Bibliográficos
Autor: Olmedilla Moreno, Eugenio
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:español
OAI Identifier:oai:docta.ucm.es:20.500.14352/71645
Acceso en línea:https://hdl.handle.net/20.500.14352/71645
Access Level:acceso abierto
Palabra clave:538.9
51-73
Fermions XYZ Heisenberg chain Yang-Baxter Integrability
Física-Modelos matemáticos
Física matemática
Partículas
2208 Nucleónica
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spelling On the fermionization of the XYZ spin Heisenberg chain (algebra).Olmedilla Moreno, Eugenio538.951-73Fermions XYZ Heisenberg chain Yang-Baxter IntegrabilityFísica-Modelos matemáticosFísica matemáticaPartículas2208 NucleónicaWe present a generalization of the Yang-Baxter relation (relations (9), our first point) applicable to a onedimensional asymmetric chain (XYZ) with creation and annihilation operators for fermions, instead of the usual relation with spins. The role of a sign associated to the modulus k of the Jacobi elliptic functions is crucial. We obtain a special property relating the products of local transition matrices with fermion operators and the terms of the Hamiltonian (equations in (22), our second point). With these two ground stages we prove the existence of a set of commuting quantities, among them our proposed Hamiltonian of an asymmetric fermión chain.Universidad Complutense de Madrid20222022-06-0120222022-06-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/71645reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Españolspaopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/716452026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the fermionization of the XYZ spin Heisenberg chain (algebra).
title On the fermionization of the XYZ spin Heisenberg chain (algebra).
spellingShingle On the fermionization of the XYZ spin Heisenberg chain (algebra).
Olmedilla Moreno, Eugenio
538.9
51-73
Fermions XYZ Heisenberg chain Yang-Baxter Integrability
Física-Modelos matemáticos
Física matemática
Partículas
2208 Nucleónica
title_short On the fermionization of the XYZ spin Heisenberg chain (algebra).
title_full On the fermionization of the XYZ spin Heisenberg chain (algebra).
title_fullStr On the fermionization of the XYZ spin Heisenberg chain (algebra).
title_full_unstemmed On the fermionization of the XYZ spin Heisenberg chain (algebra).
title_sort On the fermionization of the XYZ spin Heisenberg chain (algebra).
dc.creator.none.fl_str_mv Olmedilla Moreno, Eugenio
author Olmedilla Moreno, Eugenio
author_facet Olmedilla Moreno, Eugenio
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
51-73
Fermions XYZ Heisenberg chain Yang-Baxter Integrability
Física-Modelos matemáticos
Física matemática
Partículas
2208 Nucleónica
topic 538.9
51-73
Fermions XYZ Heisenberg chain Yang-Baxter Integrability
Física-Modelos matemáticos
Física matemática
Partículas
2208 Nucleónica
description We present a generalization of the Yang-Baxter relation (relations (9), our first point) applicable to a onedimensional asymmetric chain (XYZ) with creation and annihilation operators for fermions, instead of the usual relation with spins. The role of a sign associated to the modulus k of the Jacobi elliptic functions is crucial. We obtain a special property relating the products of local transition matrices with fermion operators and the terms of the Hamiltonian (equations in (22), our second point). With these two ground stages we prove the existence of a set of commuting quantities, among them our proposed Hamiltonian of an asymmetric fermión chain.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-06-01
2022
2022-06-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/71645
url https://hdl.handle.net/20.500.14352/71645
dc.language.none.fl_str_mv Español
spa
language_invalid_str_mv Español
language spa
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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