Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach

Detalhes bibliográficos
Autor(a) principal: Diego da Cunha Carvalho
Data de Publicação: 2016
Outros Autores: Antônio Sérgio Teixeira Pires, Lucas Alvares da Silva Mól
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFMG
Texto Completo: https://doi.org/10.1016/j.jmmm.2016.02.001
http://hdl.handle.net/1843/54878
https://orcid.org/0000-0002-5001-0499
Resumo: CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
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spelling 2023-06-13T19:09:22Z2023-06-13T19:09:22Z2016407341347https://doi.org/10.1016/j.jmmm.2016.02.0011873-4766http://hdl.handle.net/1843/54878https://orcid.org/0000-0002-5001-0499CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas GeraisWe examine the phase diagram of the spin-1 J1 J2 J3 ferromagnetic Heisenberg model with an easyplane crystal field on the cubic lattice, in which J1 is the ferromagnetic exchange interaction between nearest neighbors, J2 is the antiferromagnetic exchange interaction between next-nearest neighbors and J3 is the antiferromagnetic exchange interaction between next-next-nearest neighbors. Using the bondoperator formalism, we investigate the phase transitions between the disordered paramagnetic phase and the ordered ones. We show that the nature of the quantum phase transitions changes as the frustration parameters (J2/J1, J3/J1) are varied. The zero-temperature phase diagram exhibits second- and firstorder transitions, depending on the energy gap behavior. Remarkably, we find a disordered nonmagnetic phase, even in the absence of a crystal field, which is suggested to be a quantum spin liquid candidate. We also depict the phase diagram at finite temperature for some values of crystal field and frustration parameters.engUniversidade Federal de Minas GeraisUFMGBrasilICX - DEPARTAMENTO DE FÍSICAJournal of Magnetism and Magnetic MaterialsTransições de fasesModelo de HeisenbergAnisotropiaQuantum phase transitionBond-operator formalismQuantum spin liquidFrustrated Heisenberg modelSingle-ion anisotropySpin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approachinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://www.sciencedirect.com/science/article/pii/S0304885316301032?via%3DihubDiego da Cunha CarvalhoAntônio Sérgio Teixeira PiresLucas Alvares da Silva Mólapplication/pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGORIGINALSpin J1 J2 J3 ferromagnetic Heisenberg.pdfSpin J1 J2 J3 ferromagnetic Heisenberg.pdfapplication/pdf390567https://repositorio.ufmg.br/bitstream/1843/54878/2/Spin%20J1%20J2%20J3%20ferromagnetic%20Heisenberg.pdfd11d7e00aa5a0d7c0dd9047d0fc0c44cMD52LICENSELicense.txtLicense.txttext/plain; charset=utf-82042https://repositorio.ufmg.br/bitstream/1843/54878/1/License.txtfa505098d172de0bc8864fc1287ffe22MD511843/548782023-06-13 16:51:28.541oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-06-13T19:51:28Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.fl_str_mv Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
title Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
spellingShingle Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
Diego da Cunha Carvalho
Quantum phase transition
Bond-operator formalism
Quantum spin liquid
Frustrated Heisenberg model
Single-ion anisotropy
Transições de fases
Modelo de Heisenberg
Anisotropia
title_short Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
title_full Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
title_fullStr Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
title_full_unstemmed Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
title_sort Spin-1 J1-J2-J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: a bosonic approach
author Diego da Cunha Carvalho
author_facet Diego da Cunha Carvalho
Antônio Sérgio Teixeira Pires
Lucas Alvares da Silva Mól
author_role author
author2 Antônio Sérgio Teixeira Pires
Lucas Alvares da Silva Mól
author2_role author
author
dc.contributor.author.fl_str_mv Diego da Cunha Carvalho
Antônio Sérgio Teixeira Pires
Lucas Alvares da Silva Mól
dc.subject.por.fl_str_mv Quantum phase transition
Bond-operator formalism
Quantum spin liquid
Frustrated Heisenberg model
Single-ion anisotropy
topic Quantum phase transition
Bond-operator formalism
Quantum spin liquid
Frustrated Heisenberg model
Single-ion anisotropy
Transições de fases
Modelo de Heisenberg
Anisotropia
dc.subject.other.pt_BR.fl_str_mv Transições de fases
Modelo de Heisenberg
Anisotropia
description CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
publishDate 2016
dc.date.issued.fl_str_mv 2016
dc.date.accessioned.fl_str_mv 2023-06-13T19:09:22Z
dc.date.available.fl_str_mv 2023-06-13T19:09:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1843/54878
dc.identifier.doi.pt_BR.fl_str_mv https://doi.org/10.1016/j.jmmm.2016.02.001
dc.identifier.issn.pt_BR.fl_str_mv 1873-4766
dc.identifier.orcid.pt_BR.fl_str_mv https://orcid.org/0000-0002-5001-0499
url https://doi.org/10.1016/j.jmmm.2016.02.001
http://hdl.handle.net/1843/54878
https://orcid.org/0000-0002-5001-0499
identifier_str_mv 1873-4766
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Magnetism and Magnetic Materials
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ICX - DEPARTAMENTO DE FÍSICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
bitstream.url.fl_str_mv https://repositorio.ufmg.br/bitstream/1843/54878/2/Spin%20J1%20J2%20J3%20ferromagnetic%20Heisenberg.pdf
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