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

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dc.contributor.authorOlmedilla Moreno, Eugenio
dc.date.accessioned2023-06-22T10:46:40Z
dc.date.available2023-06-22T10:46:40Z
dc.date.issued2022-06
dc.description.abstractWe 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 fermiĆ³n chain.
dc.description.departmentDepto. de FĆ­sica TeĆ³rica
dc.description.facultyFac. de Ciencias FĆ­sicas
dc.description.refereedFALSE
dc.description.statusunpub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/72882
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71645
dc.language.isospa
dc.rightsAtribuciĆ³n-NoComercial-SinDerivadas 3.0 EspaƱa
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.cdu538.9
dc.subject.cdu51-73
dc.subject.keywordFermions XYZ Heisenberg chain Yang-Baxter Integrability
dc.subject.ucmFƭsica-Modelos matemƔticos
dc.subject.ucmFƭsica matemƔtica
dc.subject.ucmPartĆ­culas
dc.subject.unesco2208 NucleĆ³nica
dc.titleOn the fermionization of the XYZ spin Heisenberg chain (algebra).
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationc92f38f0-bc01-4d8e-8079-b273f94ac59f
relation.isAuthorOfPublication.latestForDiscoveryc92f38f0-bc01-4d8e-8079-b273f94ac59f
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