Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
- Autores
- Honecker, Andreas; Cabra, Daniel Carlos; Everts, H.-U.; Pujol, Pierre; Stauffer, Franck
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Frustration has proven to give rise to an extremely rich phenomenology in both quantum and classical systems. The leading behavior of the system can often be described by an effective model in which only the lowest-energy degrees of freedom are considered. In this paper, we study a system corresponding to the strong trimerization limit of the spin-1/2 kagome antiferromagnet in a magnetic field. It has been suggested that this system can be realized experimentally by a gas of spinless fermions in an optical kagome lattice at 2/3 filling. We investigate the low-energy behavior of both the spin-1/2 quantum version and the classical limit of this system by applying various techniques. We study in parallel both signs of the coupling constant J since the two cases display qualitative differences. One of the main peculiarities of the J > 0 case is that, at the classical level, there is an exponentially large manifold of lowest-energy configurations. This renders the thermodynamics of the system quite exotic and interesting in this case. For both cases, J > 0 and J < 0, a finite-temperature phase transition with a breaking of the discrete dihedral symmetry group D6 of the model is present. For J < 0, we find a transition temperature T < c /|J | = 1.566 ± 0.005, i.e., of order unity, as expected. We then analyze the nature of the transition in this case. While we find no evidence for a discontinuous transition, the interpretation as a continuous phase transition yields very unusual critical exponents violating the hyperscaling relation. By contrast, in the case J > 0, the transition occurs at an extremely low temperature, T > c ≈ 0.0125 J . Presumably this low transition temperature is connected with the fact that the low-temperature ordered state of the system is established by an order-by-disorder mechanism in this case.
Instituto de Física La Plata - Materia
-
Física
Physics
Phase transition
Antiferromagnetism
Critical exponent
Coupling constant
Condensed matter physics
Spin model
Frustration
Classical limit
Quantum mechanics
Hexagonal lattice - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/126457
Ver los metadatos del registro completo
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Order by disorder and phase transitions in a highly frustrated spin model on the triangular latticeHonecker, AndreasCabra, Daniel CarlosEverts, H.-U.Pujol, PierreStauffer, FranckFísicaPhysicsPhase transitionAntiferromagnetismCritical exponentCoupling constantCondensed matter physicsSpin modelFrustrationClassical limitQuantum mechanicsHexagonal latticeFrustration has proven to give rise to an extremely rich phenomenology in both quantum and classical systems. The leading behavior of the system can often be described by an effective model in which only the lowest-energy degrees of freedom are considered. In this paper, we study a system corresponding to the strong trimerization limit of the spin-1/2 kagome antiferromagnet in a magnetic field. It has been suggested that this system can be realized experimentally by a gas of spinless fermions in an optical kagome lattice at 2/3 filling. We investigate the low-energy behavior of both the spin-1/2 quantum version and the classical limit of this system by applying various techniques. We study in parallel both signs of the coupling constant J since the two cases display qualitative differences. One of the main peculiarities of the J > 0 case is that, at the classical level, there is an exponentially large manifold of lowest-energy configurations. This renders the thermodynamics of the system quite exotic and interesting in this case. For both cases, J > 0 and J < 0, a finite-temperature phase transition with a breaking of the discrete dihedral symmetry group D6 of the model is present. For J < 0, we find a transition temperature T < c /|J | = 1.566 ± 0.005, i.e., of order unity, as expected. We then analyze the nature of the transition in this case. While we find no evidence for a discontinuous transition, the interpretation as a continuous phase transition yields very unusual critical exponents violating the hyperscaling relation. By contrast, in the case J > 0, the transition occurs at an extremely low temperature, T > c ≈ 0.0125 J . Presumably this low transition temperature is connected with the fact that the low-temperature ordered state of the system is established by an order-by-disorder mechanism in this case.Instituto de Física La Plata2011-12-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126457enginfo:eu-repo/semantics/altIdentifier/issn/1098-0121info:eu-repo/semantics/altIdentifier/issn/1550-235xinfo:eu-repo/semantics/altIdentifier/arxiv/1108.5268info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.84.224410info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:23Zoai:sedici.unlp.edu.ar:10915/126457Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:24.114SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
title |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
spellingShingle |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice Honecker, Andreas Física Physics Phase transition Antiferromagnetism Critical exponent Coupling constant Condensed matter physics Spin model Frustration Classical limit Quantum mechanics Hexagonal lattice |
title_short |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
title_full |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
title_fullStr |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
title_full_unstemmed |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
title_sort |
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice |
dc.creator.none.fl_str_mv |
Honecker, Andreas Cabra, Daniel Carlos Everts, H.-U. Pujol, Pierre Stauffer, Franck |
author |
Honecker, Andreas |
author_facet |
Honecker, Andreas Cabra, Daniel Carlos Everts, H.-U. Pujol, Pierre Stauffer, Franck |
author_role |
author |
author2 |
Cabra, Daniel Carlos Everts, H.-U. Pujol, Pierre Stauffer, Franck |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Física Physics Phase transition Antiferromagnetism Critical exponent Coupling constant Condensed matter physics Spin model Frustration Classical limit Quantum mechanics Hexagonal lattice |
topic |
Física Physics Phase transition Antiferromagnetism Critical exponent Coupling constant Condensed matter physics Spin model Frustration Classical limit Quantum mechanics Hexagonal lattice |
dc.description.none.fl_txt_mv |
Frustration has proven to give rise to an extremely rich phenomenology in both quantum and classical systems. The leading behavior of the system can often be described by an effective model in which only the lowest-energy degrees of freedom are considered. In this paper, we study a system corresponding to the strong trimerization limit of the spin-1/2 kagome antiferromagnet in a magnetic field. It has been suggested that this system can be realized experimentally by a gas of spinless fermions in an optical kagome lattice at 2/3 filling. We investigate the low-energy behavior of both the spin-1/2 quantum version and the classical limit of this system by applying various techniques. We study in parallel both signs of the coupling constant J since the two cases display qualitative differences. One of the main peculiarities of the J > 0 case is that, at the classical level, there is an exponentially large manifold of lowest-energy configurations. This renders the thermodynamics of the system quite exotic and interesting in this case. For both cases, J > 0 and J < 0, a finite-temperature phase transition with a breaking of the discrete dihedral symmetry group D6 of the model is present. For J < 0, we find a transition temperature T < c /|J | = 1.566 ± 0.005, i.e., of order unity, as expected. We then analyze the nature of the transition in this case. While we find no evidence for a discontinuous transition, the interpretation as a continuous phase transition yields very unusual critical exponents violating the hyperscaling relation. By contrast, in the case J > 0, the transition occurs at an extremely low temperature, T > c ≈ 0.0125 J . Presumably this low transition temperature is connected with the fact that the low-temperature ordered state of the system is established by an order-by-disorder mechanism in this case. Instituto de Física La Plata |
description |
Frustration has proven to give rise to an extremely rich phenomenology in both quantum and classical systems. The leading behavior of the system can often be described by an effective model in which only the lowest-energy degrees of freedom are considered. In this paper, we study a system corresponding to the strong trimerization limit of the spin-1/2 kagome antiferromagnet in a magnetic field. It has been suggested that this system can be realized experimentally by a gas of spinless fermions in an optical kagome lattice at 2/3 filling. We investigate the low-energy behavior of both the spin-1/2 quantum version and the classical limit of this system by applying various techniques. We study in parallel both signs of the coupling constant J since the two cases display qualitative differences. One of the main peculiarities of the J > 0 case is that, at the classical level, there is an exponentially large manifold of lowest-energy configurations. This renders the thermodynamics of the system quite exotic and interesting in this case. For both cases, J > 0 and J < 0, a finite-temperature phase transition with a breaking of the discrete dihedral symmetry group D6 of the model is present. For J < 0, we find a transition temperature T < c /|J | = 1.566 ± 0.005, i.e., of order unity, as expected. We then analyze the nature of the transition in this case. While we find no evidence for a discontinuous transition, the interpretation as a continuous phase transition yields very unusual critical exponents violating the hyperscaling relation. By contrast, in the case J > 0, the transition occurs at an extremely low temperature, T > c ≈ 0.0125 J . Presumably this low transition temperature is connected with the fact that the low-temperature ordered state of the system is established by an order-by-disorder mechanism in this case. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-12-14 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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