Path integral approach to order by disorder selection in partially polarized quantum spin systems

Autores
Lamas, Carlos Alberto; Cabra, Daniel Carlos; Pujol, Pierre; Rossini, Gerardo Luis
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study the frustrated J1−J2quantum Heisenberg model on the square lattice for J2>J1/2, in a magnetic field. In this regime the classical system is known tohave a degenerate manifold of lowest energy configurations, where standard thermal orderby disorder occurs. In order to study its quantum version we use a path integralformulation in terms of coherent states. We show that the classical degeneracy in theplane transverse to the magnetic field is lifted by quantum fluctuations. Collinear statesare then selected, in a similar pattern to that set by thermal order by disorder, leavinga Z2 degeneracy. A careful analysis revealsa purely quantum mechanical effect given by the tunneling between the two minima selectedby fluctuations. The effective description contains two planar (XY-like) fields conjugateto the total magnetization and the difference of the two sublattice magnetizations.Disorder in either or both of these fields produces the locking of their conjugateobservables.
Fil: Lamas, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Cabra, Daniel Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Pujol, Pierre. Centre National de la Recherche Scientifique; Francia
Fil: Rossini, Gerardo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Integral de Caminos
Magnetismo Cuántico
Orden por Desorden
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/51440
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Path integral approach to order by disorder selection in partially polarized quantum spin systemsLamas, Carlos AlbertoCabra, Daniel CarlosPujol, PierreRossini, Gerardo LuisIntegral de CaminosMagnetismo CuánticoOrden por Desordenhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper we study the frustrated J1−J2quantum Heisenberg model on the square lattice for J2>J1/2, in a magnetic field. In this regime the classical system is known tohave a degenerate manifold of lowest energy configurations, where standard thermal orderby disorder occurs. In order to study its quantum version we use a path integralformulation in terms of coherent states. We show that the classical degeneracy in theplane transverse to the magnetic field is lifted by quantum fluctuations. Collinear statesare then selected, in a similar pattern to that set by thermal order by disorder, leavinga Z2 degeneracy. A careful analysis revealsa purely quantum mechanical effect given by the tunneling between the two minima selectedby fluctuations. The effective description contains two planar (XY-like) fields conjugateto the total magnetization and the difference of the two sublattice magnetizations.Disorder in either or both of these fields produces the locking of their conjugateobservables.Fil: Lamas, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Cabra, Daniel Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Pujol, Pierre. Centre National de la Recherche Scientifique; FranciaFil: Rossini, Gerardo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaSpringer2015-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/51440Lamas, Carlos Alberto; Cabra, Daniel Carlos; Pujol, Pierre; Rossini, Gerardo Luis; Path integral approach to order by disorder selection in partially polarized quantum spin systems; Springer; European Physical Journal B - Condensed Matter; 88; 7; 7-2015; 1-81434-60281434-6036CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2015-60211-6info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2015-60211-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:02:56Zoai:ri.conicet.gov.ar:11336/51440instacron: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:34982025-10-22 12:02:57.052CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Path integral approach to order by disorder selection in partially polarized quantum spin systems
title Path integral approach to order by disorder selection in partially polarized quantum spin systems
spellingShingle Path integral approach to order by disorder selection in partially polarized quantum spin systems
Lamas, Carlos Alberto
Integral de Caminos
Magnetismo Cuántico
Orden por Desorden
title_short Path integral approach to order by disorder selection in partially polarized quantum spin systems
title_full Path integral approach to order by disorder selection in partially polarized quantum spin systems
title_fullStr Path integral approach to order by disorder selection in partially polarized quantum spin systems
title_full_unstemmed Path integral approach to order by disorder selection in partially polarized quantum spin systems
title_sort Path integral approach to order by disorder selection in partially polarized quantum spin systems
dc.creator.none.fl_str_mv Lamas, Carlos Alberto
Cabra, Daniel Carlos
Pujol, Pierre
Rossini, Gerardo Luis
author Lamas, Carlos Alberto
author_facet Lamas, Carlos Alberto
Cabra, Daniel Carlos
Pujol, Pierre
Rossini, Gerardo Luis
author_role author
author2 Cabra, Daniel Carlos
Pujol, Pierre
Rossini, Gerardo Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Integral de Caminos
Magnetismo Cuántico
Orden por Desorden
topic Integral de Caminos
Magnetismo Cuántico
Orden por Desorden
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we study the frustrated J1−J2quantum Heisenberg model on the square lattice for J2>J1/2, in a magnetic field. In this regime the classical system is known tohave a degenerate manifold of lowest energy configurations, where standard thermal orderby disorder occurs. In order to study its quantum version we use a path integralformulation in terms of coherent states. We show that the classical degeneracy in theplane transverse to the magnetic field is lifted by quantum fluctuations. Collinear statesare then selected, in a similar pattern to that set by thermal order by disorder, leavinga Z2 degeneracy. A careful analysis revealsa purely quantum mechanical effect given by the tunneling between the two minima selectedby fluctuations. The effective description contains two planar (XY-like) fields conjugateto the total magnetization and the difference of the two sublattice magnetizations.Disorder in either or both of these fields produces the locking of their conjugateobservables.
Fil: Lamas, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Cabra, Daniel Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Pujol, Pierre. Centre National de la Recherche Scientifique; Francia
Fil: Rossini, Gerardo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In this paper we study the frustrated J1−J2quantum Heisenberg model on the square lattice for J2>J1/2, in a magnetic field. In this regime the classical system is known tohave a degenerate manifold of lowest energy configurations, where standard thermal orderby disorder occurs. In order to study its quantum version we use a path integralformulation in terms of coherent states. We show that the classical degeneracy in theplane transverse to the magnetic field is lifted by quantum fluctuations. Collinear statesare then selected, in a similar pattern to that set by thermal order by disorder, leavinga Z2 degeneracy. A careful analysis revealsa purely quantum mechanical effect given by the tunneling between the two minima selectedby fluctuations. The effective description contains two planar (XY-like) fields conjugateto the total magnetization and the difference of the two sublattice magnetizations.Disorder in either or both of these fields produces the locking of their conjugateobservables.
publishDate 2015
dc.date.none.fl_str_mv 2015-07
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/11336/51440
Lamas, Carlos Alberto; Cabra, Daniel Carlos; Pujol, Pierre; Rossini, Gerardo Luis; Path integral approach to order by disorder selection in partially polarized quantum spin systems; Springer; European Physical Journal B - Condensed Matter; 88; 7; 7-2015; 1-8
1434-6028
1434-6036
CONICET Digital
CONICET
url http://hdl.handle.net/11336/51440
identifier_str_mv Lamas, Carlos Alberto; Cabra, Daniel Carlos; Pujol, Pierre; Rossini, Gerardo Luis; Path integral approach to order by disorder selection in partially polarized quantum spin systems; Springer; European Physical Journal B - Condensed Matter; 88; 7; 7-2015; 1-8
1434-6028
1434-6036
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.springer.com/article/10.1140%2Fepjb%2Fe2015-60211-6
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2015-60211-6
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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score 12.982451

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