Classical and quantum spin liquids

When considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom become less relevant and the system loses its order: this is...

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Main Author: Capponi, Sylvain
Format: Article
Language:English
Published: Académie des sciences 2025-01-01
Series:Comptes Rendus. Physique
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Online Access:https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.228/
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author Capponi, Sylvain
author_facet Capponi, Sylvain
author_sort Capponi, Sylvain
collection DOAJ
description When considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom become less relevant and the system loses its order: this is a paramagnet. This phenomenon of phase transition has been well understood using statistical mechanics and simple modelling.In this short lecture notes, we will review the possibility that a many-body magnetic system may remain magnetically disordered down to zero-temperature, both for classical or quantum spins. These exotic phases of matter are known, respectively, as classical and quantum spin liquids.We will address in particular the question of classification of these classical or quantum disordered phases. Indeed, while they have no local order parameter by definition, they can still possess different qualitative features related e.g. to the nature of their correlations or elementary excitations, which could be probed experimentally.
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spelling doaj-art-bb9aec9de2be4593849b0512b21999962025-02-07T13:54:44ZengAcadémie des sciencesComptes Rendus. Physique1878-15352025-01-0126G19111110.5802/crphys.22810.5802/crphys.228Classical and quantum spin liquidsCapponi, Sylvain0https://orcid.org/0000-0001-9172-049XLaboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, FranceWhen considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom become less relevant and the system loses its order: this is a paramagnet. This phenomenon of phase transition has been well understood using statistical mechanics and simple modelling.In this short lecture notes, we will review the possibility that a many-body magnetic system may remain magnetically disordered down to zero-temperature, both for classical or quantum spins. These exotic phases of matter are known, respectively, as classical and quantum spin liquids.We will address in particular the question of classification of these classical or quantum disordered phases. Indeed, while they have no local order parameter by definition, they can still possess different qualitative features related e.g. to the nature of their correlations or elementary excitations, which could be probed experimentally.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.228/MagnetismSpin liquidsCondensed matter
spellingShingle Capponi, Sylvain
Classical and quantum spin liquids
Comptes Rendus. Physique
Magnetism
Spin liquids
Condensed matter
title Classical and quantum spin liquids
title_full Classical and quantum spin liquids
title_fullStr Classical and quantum spin liquids
title_full_unstemmed Classical and quantum spin liquids
title_short Classical and quantum spin liquids
title_sort classical and quantum spin liquids
topic Magnetism
Spin liquids
Condensed matter
url https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.228/
work_keys_str_mv AT capponisylvain classicalandquantumspinliquids