Exact dimer phase with anisotropic interaction for one dimensional magnets

Abstract We report the exact dimer phase, in which the ground states are described by product of singlet dimer, in the extended XYZ model by generalizing the isotropic Majumdar–Ghosh model to the fully anisotropic region. We demonstrate that this phase can be realized even in models when antiferroma...

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Autores principales:	Hong-Ze Xu, Shun-Yao Zhang, Guang-Can Guo, Ming Gong
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5af0695878424f5aa29dd61a1b557c81
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spelling	oai:doaj.org-article:5af0695878424f5aa29dd61a1b557c812021-12-02T13:17:55ZExact dimer phase with anisotropic interaction for one dimensional magnets10.1038/s41598-021-85483-02045-2322https://doaj.org/article/5af0695878424f5aa29dd61a1b557c812021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-85483-0https://doaj.org/toc/2045-2322Abstract We report the exact dimer phase, in which the ground states are described by product of singlet dimer, in the extended XYZ model by generalizing the isotropic Majumdar–Ghosh model to the fully anisotropic region. We demonstrate that this phase can be realized even in models when antiferromagnetic interaction along one of the three directions. This model also supports three different ferromagnetic (FM) phases, denoted as x-FM, y-FM and z-FM, polarized along the three directions. The boundaries between the exact dimer phase and FM phases are infinite-fold degenerate. The breaking of this infinite-fold degeneracy by either translational symmetry breaking or $${\mathbb {Z}}_2$$ Z 2 symmetry breaking leads to exact dimer phase and FM phases, respectively. Moreover, the boundaries between the three FM phases are critical with central charge $$c=1$$ c = 1 for free fermions. We characterize the properties of these boundaries using entanglement entropy, excitation gap, and long-range spin–spin correlation functions. These results are relevant to a large number of one dimensional magnets, in which anisotropy is necessary to isolate a single chain out from the bulk material. We discuss the possible experimental signatures in realistic materials with magnetic field along different directions and show that the anisotropy may resolve the disagreement between theory and experiments based on isotropic spin-spin interactions.Hong-Ze XuShun-Yao ZhangGuang-Can GuoMing GongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Hong-Ze Xu Shun-Yao Zhang Guang-Can Guo Ming Gong Exact dimer phase with anisotropic interaction for one dimensional magnets
description	Abstract We report the exact dimer phase, in which the ground states are described by product of singlet dimer, in the extended XYZ model by generalizing the isotropic Majumdar–Ghosh model to the fully anisotropic region. We demonstrate that this phase can be realized even in models when antiferromagnetic interaction along one of the three directions. This model also supports three different ferromagnetic (FM) phases, denoted as x-FM, y-FM and z-FM, polarized along the three directions. The boundaries between the exact dimer phase and FM phases are infinite-fold degenerate. The breaking of this infinite-fold degeneracy by either translational symmetry breaking or $${\mathbb {Z}}_2$$ Z 2 symmetry breaking leads to exact dimer phase and FM phases, respectively. Moreover, the boundaries between the three FM phases are critical with central charge $$c=1$$ c = 1 for free fermions. We characterize the properties of these boundaries using entanglement entropy, excitation gap, and long-range spin–spin correlation functions. These results are relevant to a large number of one dimensional magnets, in which anisotropy is necessary to isolate a single chain out from the bulk material. We discuss the possible experimental signatures in realistic materials with magnetic field along different directions and show that the anisotropy may resolve the disagreement between theory and experiments based on isotropic spin-spin interactions.
format	article
author	Hong-Ze Xu Shun-Yao Zhang Guang-Can Guo Ming Gong
author_facet	Hong-Ze Xu Shun-Yao Zhang Guang-Can Guo Ming Gong
author_sort	Hong-Ze Xu
title	Exact dimer phase with anisotropic interaction for one dimensional magnets
title_short	Exact dimer phase with anisotropic interaction for one dimensional magnets
title_full	Exact dimer phase with anisotropic interaction for one dimensional magnets
title_fullStr	Exact dimer phase with anisotropic interaction for one dimensional magnets
title_full_unstemmed	Exact dimer phase with anisotropic interaction for one dimensional magnets
title_sort	exact dimer phase with anisotropic interaction for one dimensional magnets
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/5af0695878424f5aa29dd61a1b557c81
work_keys_str_mv	AT hongzexu exactdimerphasewithanisotropicinteractionforonedimensionalmagnets AT shunyaozhang exactdimerphasewithanisotropicinteractionforonedimensionalmagnets AT guangcanguo exactdimerphasewithanisotropicinteractionforonedimensionalmagnets AT minggong exactdimerphasewithanisotropicinteractionforonedimensionalmagnets
_version_	1718393332744323072

Exact dimer phase with anisotropic interaction for one dimensional magnets

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