Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid

Abstract Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a suitable playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the prototypical correlated system with local constrai...

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Autores principales: Zheng Yan, Yan-Cheng Wang, Nvsen Ma, Yang Qi, Zi Yang Meng
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/7550d968d34f43259b33e300e3ecf5e4
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spelling oai:doaj.org-article:7550d968d34f43259b33e300e3ecf5e42021-12-02T14:30:31ZTopological phase transition and single/multi anyon dynamics of Z 2 spin liquid10.1038/s41535-021-00338-12397-4648https://doaj.org/article/7550d968d34f43259b33e300e3ecf5e42021-04-01T00:00:00Zhttps://doi.org/10.1038/s41535-021-00338-1https://doaj.org/toc/2397-4648Abstract Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a suitable playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the prototypical correlated system with local constraints, the generic solution of QDM at different lattice geometry and parameter regimes is still missing due to the lack of controlled methodologies. Here we obtain, via sweeping cluster quantum Monte Carlo algorithm, the excitation spectra in different phases of the triangular lattice QDM. Our results reveal the single vison excitations inside the Z 2 quantum spin liquid (QSL) and its condensation towards the $$\sqrt{12}\times \sqrt{12}$$ 12 × 12 valence bond solid (VBS), and demonstrate the translational symmetry fractionalization and emergent O(4) symmetry at the QSL-VBS transition. We find the single vison excitations, whose convolution qualitatively reproduces the dimer spectra, are not free but subject to interaction effects throughout the transition. The nature of the VBS with its O(4) order parameters are unearthed in full scope. Our approach opens the avenue for generic solution of the static and dynamic properties of QDMs and has relevance towards the realization and detection of fractional excitations in programmable quantum simulators.Zheng YanYan-Cheng WangNvsen MaYang QiZi Yang MengNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Atomic physics. Constitution and properties of matterQC170-197ENnpj Quantum Materials, Vol 6, Iss 1, Pp 1-6 (2021)
institution DOAJ
collection DOAJ
language EN
topic Materials of engineering and construction. Mechanics of materials
TA401-492
Atomic physics. Constitution and properties of matter
QC170-197
spellingShingle Materials of engineering and construction. Mechanics of materials
TA401-492
Atomic physics. Constitution and properties of matter
QC170-197
Zheng Yan
Yan-Cheng Wang
Nvsen Ma
Yang Qi
Zi Yang Meng
Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
description Abstract Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a suitable playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the prototypical correlated system with local constraints, the generic solution of QDM at different lattice geometry and parameter regimes is still missing due to the lack of controlled methodologies. Here we obtain, via sweeping cluster quantum Monte Carlo algorithm, the excitation spectra in different phases of the triangular lattice QDM. Our results reveal the single vison excitations inside the Z 2 quantum spin liquid (QSL) and its condensation towards the $$\sqrt{12}\times \sqrt{12}$$ 12 × 12 valence bond solid (VBS), and demonstrate the translational symmetry fractionalization and emergent O(4) symmetry at the QSL-VBS transition. We find the single vison excitations, whose convolution qualitatively reproduces the dimer spectra, are not free but subject to interaction effects throughout the transition. The nature of the VBS with its O(4) order parameters are unearthed in full scope. Our approach opens the avenue for generic solution of the static and dynamic properties of QDMs and has relevance towards the realization and detection of fractional excitations in programmable quantum simulators.
format article
author Zheng Yan
Yan-Cheng Wang
Nvsen Ma
Yang Qi
Zi Yang Meng
author_facet Zheng Yan
Yan-Cheng Wang
Nvsen Ma
Yang Qi
Zi Yang Meng
author_sort Zheng Yan
title Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
title_short Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
title_full Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
title_fullStr Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
title_full_unstemmed Topological phase transition and single/multi anyon dynamics of Z 2 spin liquid
title_sort topological phase transition and single/multi anyon dynamics of z 2 spin liquid
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/7550d968d34f43259b33e300e3ecf5e4
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AT yanchengwang topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid
AT nvsenma topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid
AT yangqi topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid
AT ziyangmeng topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid
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