Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/28884 https://doi.org/10.1103/PhysRevB.94.134420 |
Resumo: | We show how spin-liquid (SL) states can be stabilized in a realistic three-dimensional model as a result of frustration. SU(n)-symmetric generalization of the Heisenberg model for quantum spin S operators is used to investigate the frustrated body-centered tetragonal (BCT) lattice with antiferromagnetic interlayer coupling J1 and intralayer first and second-neighbor couplings J2 and J3. By using complementary representations of the spin operators, we study the phase diagram characterizing the ground state of this system. For small n, we find that the most stable solutions correspond to four different families of long-range magnetic orders that are governed by J1, J2, and J3. First, some possible instabilities of these phases are identified for n = 2, in large S expansions, up to the linear spin-wave corrections. Then, using a fermionic representation of the SU(n) spin operators for S = 1/2, we find that purely magnetic orders occur for n 3 while SL solutions are stabilized for n 10. The SL solution governed by J1 breaks the lattice translation symmetry. The modulated SL is associated with a commensurate ordering wave vector (1,1,1). For 4 n 9, we show how the competition between J1, J2, and J3 can turn the magnetically ordered ground state into a SL state. Finally, we discuss the relevance of this scenario for correlated systems with BCT crystal structure. |
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Farias, CarleneThomas, ChristopherPépin, CatherineFerraz Filho, ÁlvaroLacroix, ClaudineBurdin, Sébastien2020-05-05T04:03:41Z2020-05-05T04:03:41Z2016-10-17FERRAZ FILHO, Álvaro et al. Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice.Physical review B: Condensed matter and materials physics, [s. l.], v. 94, p. 134420, 2016. ISSN 1550-235X versão online. DOI https://doi.org/10.1103/PhysRevB.94.134420. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.134420. Acesso em: 05 maio 2020.1098-0121 (print), 1550-235X (online)https://repositorio.ufrn.br/jspui/handle/123456789/28884https://doi.org/10.1103/PhysRevB.94.134420PHYSICAL REVIEW BSpin liquidLong-range magneticBody-centered-tetragonalSpin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal latticeinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe show how spin-liquid (SL) states can be stabilized in a realistic three-dimensional model as a result of frustration. SU(n)-symmetric generalization of the Heisenberg model for quantum spin S operators is used to investigate the frustrated body-centered tetragonal (BCT) lattice with antiferromagnetic interlayer coupling J1 and intralayer first and second-neighbor couplings J2 and J3. By using complementary representations of the spin operators, we study the phase diagram characterizing the ground state of this system. For small n, we find that the most stable solutions correspond to four different families of long-range magnetic orders that are governed by J1, J2, and J3. First, some possible instabilities of these phases are identified for n = 2, in large S expansions, up to the linear spin-wave corrections. Then, using a fermionic representation of the SU(n) spin operators for S = 1/2, we find that purely magnetic orders occur for n 3 while SL solutions are stabilized for n 10. The SL solution governed by J1 breaks the lattice translation symmetry. The modulated SL is associated with a commensurate ordering wave vector (1,1,1). For 4 n 9, we show how the competition between J1, J2, and J3 can turn the magnetically ordered ground state into a SL state. Finally, we discuss the relevance of this scenario for correlated systems with BCT crystal structure.engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdfSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdfSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_FariasThomasPépinFerrazLacroixBurdin_2016 (1).pdfapplication/pdf291221https://repositorio.ufrn.br/bitstream/123456789/28884/1/SpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016%20%281%29.pdf49e2cb90bca25ab006b950855ee97c81MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/28884/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdf.txtSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdf.txtExtracted texttext/plain28395https://repositorio.ufrn.br/bitstream/123456789/28884/3/SpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016%20%281%29.pdf.txta7e47156e8dabed9aa810f8c22d87f73MD53THUMBNAILSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdf.jpgSpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016 (1).pdf.jpgGenerated Thumbnailimage/jpeg1740https://repositorio.ufrn.br/bitstream/123456789/28884/4/SpinLiquidVersusLong-rangeMagneticOrderIntheFrustrated_2016%20%281%29.pdf.jpgc07f256b740e7daeee0fa8f5f314b56cMD54123456789/288842020-05-10 04:29:59.938oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-05-10T07:29:59Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
title |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
spellingShingle |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice Farias, Carlene Spin liquid Long-range magnetic Body-centered-tetragonal |
title_short |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
title_full |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
title_fullStr |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
title_full_unstemmed |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
title_sort |
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice |
author |
Farias, Carlene |
author_facet |
Farias, Carlene Thomas, Christopher Pépin, Catherine Ferraz Filho, Álvaro Lacroix, Claudine Burdin, Sébastien |
author_role |
author |
author2 |
Thomas, Christopher Pépin, Catherine Ferraz Filho, Álvaro Lacroix, Claudine Burdin, Sébastien |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Farias, Carlene Thomas, Christopher Pépin, Catherine Ferraz Filho, Álvaro Lacroix, Claudine Burdin, Sébastien |
dc.subject.por.fl_str_mv |
Spin liquid Long-range magnetic Body-centered-tetragonal |
topic |
Spin liquid Long-range magnetic Body-centered-tetragonal |
description |
We show how spin-liquid (SL) states can be stabilized in a realistic three-dimensional model as a result of frustration. SU(n)-symmetric generalization of the Heisenberg model for quantum spin S operators is used to investigate the frustrated body-centered tetragonal (BCT) lattice with antiferromagnetic interlayer coupling J1 and intralayer first and second-neighbor couplings J2 and J3. By using complementary representations of the spin operators, we study the phase diagram characterizing the ground state of this system. For small n, we find that the most stable solutions correspond to four different families of long-range magnetic orders that are governed by J1, J2, and J3. First, some possible instabilities of these phases are identified for n = 2, in large S expansions, up to the linear spin-wave corrections. Then, using a fermionic representation of the SU(n) spin operators for S = 1/2, we find that purely magnetic orders occur for n 3 while SL solutions are stabilized for n 10. The SL solution governed by J1 breaks the lattice translation symmetry. The modulated SL is associated with a commensurate ordering wave vector (1,1,1). For 4 n 9, we show how the competition between J1, J2, and J3 can turn the magnetically ordered ground state into a SL state. Finally, we discuss the relevance of this scenario for correlated systems with BCT crystal structure. |
publishDate |
2016 |
dc.date.issued.fl_str_mv |
2016-10-17 |
dc.date.accessioned.fl_str_mv |
2020-05-05T04:03:41Z |
dc.date.available.fl_str_mv |
2020-05-05T04:03:41Z |
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.citation.fl_str_mv |
FERRAZ FILHO, Álvaro et al. Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice.Physical review B: Condensed matter and materials physics, [s. l.], v. 94, p. 134420, 2016. ISSN 1550-235X versão online. DOI https://doi.org/10.1103/PhysRevB.94.134420. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.134420. Acesso em: 05 maio 2020. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/28884 |
dc.identifier.issn.none.fl_str_mv |
1098-0121 (print), 1550-235X (online) |
dc.identifier.doi.none.fl_str_mv |
https://doi.org/10.1103/PhysRevB.94.134420 |
identifier_str_mv |
FERRAZ FILHO, Álvaro et al. Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice.Physical review B: Condensed matter and materials physics, [s. l.], v. 94, p. 134420, 2016. ISSN 1550-235X versão online. DOI https://doi.org/10.1103/PhysRevB.94.134420. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.134420. Acesso em: 05 maio 2020. 1098-0121 (print), 1550-235X (online) |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/28884 https://doi.org/10.1103/PhysRevB.94.134420 |
dc.language.iso.fl_str_mv |
eng |
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eng |
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openAccess |
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PHYSICAL REVIEW B |
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PHYSICAL REVIEW B |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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