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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2021
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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) |
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Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197 |
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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 |
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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 |
work_keys_str_mv |
AT zhengyan topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid AT yanchengwang topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid AT nvsenma topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid AT yangqi topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid AT ziyangmeng topologicalphasetransitionandsinglemultianyondynamicsofz2spinliquid |
_version_ |
1718391199441616896 |