Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice

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 antiferroma...

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Principais autores: Farias, Carlene, Thomas, Christopher, Pépin, Catherine, Ferraz Filho, Álvaro, Lacroix, Claudine, Burdin, Sébastien
Formato: article
Idioma:English
Publicado em: PHYSICAL REVIEW B
Assuntos:
Spin liquid
Long-range magnetic
Body-centered-tetragonal
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/28884
https://doi.org/10.1103/PhysRevB.94.134420
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spelling ri-123456789-288842020-05-10T07:29:59Z Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice Farias, Carlene Thomas, Christopher Pépin, Catherine Ferraz Filho, Álvaro Lacroix, Claudine Burdin, Sébastien Spin liquid Long-range magnetic Body-centered-tetragonal 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. 2020-05-05T04:03:41Z 2020-05-05T04:03:41Z 2016-10-17 article 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) https://repositorio.ufrn.br/jspui/handle/123456789/28884 https://doi.org/10.1103/PhysRevB.94.134420 en application/pdf PHYSICAL REVIEW B
institution Repositório Institucional
collection RI - UFRN
language English
topic Spin liquid
Long-range magnetic
Body-centered-tetragonal
spellingShingle Spin liquid
Long-range magnetic
Body-centered-tetragonal
Farias, Carlene
Thomas, Christopher
Pépin, Catherine
Ferraz Filho, Álvaro
Lacroix, Claudine
Burdin, Sébastien
Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice
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.
format article
author Farias, Carlene
Thomas, Christopher
Pépin, Catherine
Ferraz Filho, Álvaro
Lacroix, Claudine
Burdin, Sébastien
author_facet Farias, Carlene
Thomas, Christopher
Pépin, Catherine
Ferraz Filho, Álvaro
Lacroix, Claudine
Burdin, Sébastien
author_sort Farias, Carlene
title Spin liquid versus long-range magnetic order in the frustrated body-centered-tetragonal lattice
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
publisher PHYSICAL REVIEW B
publishDate 2020
url https://repositorio.ufrn.br/jspui/handle/123456789/28884
https://doi.org/10.1103/PhysRevB.94.134420
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AT thomaschristopher spinliquidversuslongrangemagneticorderinthefrustratedbodycenteredtetragonallattice
AT pepincatherine spinliquidversuslongrangemagneticorderinthefrustratedbodycenteredtetragonallattice
AT ferrazfilhoalvaro spinliquidversuslongrangemagneticorderinthefrustratedbodycenteredtetragonallattice
AT lacroixclaudine spinliquidversuslongrangemagneticorderinthefrustratedbodycenteredtetragonallattice
AT burdinsebastien spinliquidversuslongrangemagneticorderinthefrustratedbodycenteredtetragonallattice
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