The exactly solvable spin Sutherland model of B-N type and its related spin chain

We compute the spectrum of the su(m) spin Sutherland model of B-N type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition function of their associated spin chain of Haldane-Shastry...

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Detalles Bibliográficos
Autores: Basu-Mallick,, B., Finkel Morgenstern, Federico, González López, Artemio
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34762
Acceso en línea:https://hdl.handle.net/20.500.14352/34762
Access Level:acceso abierto
Palabra clave:51-73
Calogero–sutherland spin models
Haldane–shastry spin chains
Dunkl operators
Física-Modelos matemáticos
Física matemática
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spelling The exactly solvable spin Sutherland model of B-N type and its related spin chainBasu-Mallick,, B.Finkel Morgenstern, FedericoGonzález López, Artemio51-73Calogero–sutherland spin modelsHaldane–shastry spin chainsDunkl operatorsFísica-Modelos matemáticosFísica matemáticaWe compute the spectrum of the su(m) spin Sutherland model of B-N type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition function of their associated spin chain of Haldane-Shastry type in closed form. With the help of the formula for the partition function thus obtained we study the chain's spectrum, showing that it cannot be obtained as a limiting case of its BCN counterpart. The structure of the partition function also suggests that the spectrum of the Haldane-Shastry spin chain of BN type is equivalent to that of a suitable vertex model, as is the case for its A(N-1) counterpart, and that the density of its eigenvalues is normally distributed when the number of sites N tends to infinity. We analyze this last conjecture numerically using again the explicit formula for the partition function, and check its validity for several values of N and at.ElsevierUniversidad Complutense de Madrid20132013-01-2120132013-01-21journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/34762reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/347622026-06-02T12:44:21Z
dc.title.none.fl_str_mv The exactly solvable spin Sutherland model of B-N type and its related spin chain
title The exactly solvable spin Sutherland model of B-N type and its related spin chain
spellingShingle The exactly solvable spin Sutherland model of B-N type and its related spin chain
Basu-Mallick,, B.
51-73
Calogero–sutherland spin models
Haldane–shastry spin chains
Dunkl operators
Física-Modelos matemáticos
Física matemática
title_short The exactly solvable spin Sutherland model of B-N type and its related spin chain
title_full The exactly solvable spin Sutherland model of B-N type and its related spin chain
title_fullStr The exactly solvable spin Sutherland model of B-N type and its related spin chain
title_full_unstemmed The exactly solvable spin Sutherland model of B-N type and its related spin chain
title_sort The exactly solvable spin Sutherland model of B-N type and its related spin chain
dc.creator.none.fl_str_mv Basu-Mallick,, B.
Finkel Morgenstern, Federico
González López, Artemio
author Basu-Mallick,, B.
author_facet Basu-Mallick,, B.
Finkel Morgenstern, Federico
González López, Artemio
author_role author
author2 Finkel Morgenstern, Federico
González López, Artemio
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Calogero–sutherland spin models
Haldane–shastry spin chains
Dunkl operators
Física-Modelos matemáticos
Física matemática
topic 51-73
Calogero–sutherland spin models
Haldane–shastry spin chains
Dunkl operators
Física-Modelos matemáticos
Física matemática
description We compute the spectrum of the su(m) spin Sutherland model of B-N type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition function of their associated spin chain of Haldane-Shastry type in closed form. With the help of the formula for the partition function thus obtained we study the chain's spectrum, showing that it cannot be obtained as a limiting case of its BCN counterpart. The structure of the partition function also suggests that the spectrum of the Haldane-Shastry spin chain of BN type is equivalent to that of a suitable vertex model, as is the case for its A(N-1) counterpart, and that the density of its eigenvalues is normally distributed when the number of sites N tends to infinity. We analyze this last conjecture numerically using again the explicit formula for the partition function, and check its validity for several values of N and at.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-21
2013
2013-01-21
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/20.500.14352/34762
url https://hdl.handle.net/20.500.14352/34762
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/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 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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score 15.300719

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