Evidence for the topological order in a kagome antiferromagnet

Yuan, Wei; Feng, Zili; Lohstroh, Wiebke; Yu, Dongyang; Le, Duc Anh; Wu, Yi; Ding, Zhaofeng; Zhang, J.; Tan, Cheng; Shu, Lei; Wang, Yan-Cheng; Wu, Han‐Qing; Luo, Jianlin; Mei, Jia‐Wei; Fu, Yang; Sheng, Xian‐Lei; Li, Wei; Qi, Yang; Meng, Zi Yang; Shi, Youguo; Li, Shiliang

doi:10.48550/arxiv.1710.02991

Cited by 20 publications

(33 citation statements)

References 59 publications

(42 reference statements)

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“…Introduction -A prominent feature of quantum spin liquids (QSLs) is their ability of supporting topological excitations, i.e., elementary excitations whose physical properties are fundamentally different from those of the constituent spins [1,2]. Detecting topological excitations in dynamic probes, such as inelastic neutron scattering, nuclear magnetic resonance, resonant inelastic x-ray scattering, and Raman scattering probes, provides an unambiguous experimental identification for QSLs [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Understanding the dynamics of topological excitations is therefore essential for interpreting experiments on QSL.…”

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confidence: 99%

Dynamics of Topological Excitations in a Model Quantum Spin Ice

et al. 2018

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We study the quantum spin dynamics of a frustrated XXZ model on a pyrochlore lattice by using large-scale quantum Monte Carlo simulation and stochastic analytic continuation. In the low-temperature quantum spin ice regime, we observe signatures of coherent photon and spinon excitations in the dynamic spin structure factor. As the temperature rises to the classical spin ice regime, the photon disappears from the dynamic spin structure factor, whereas the dynamics of the spinon remain coherent in a broad temperature window. Our results provide experimentally relevant, quantitative information for the ongoing pursuit of quantum spin ice materials.

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confidence: 99%

Dynamics of Topological Excitations in a Model Quantum Spin Ice

et al. 2018

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“…neutron scattering [68,69], µSR [69] and thermodynamic measurements [70,71]. Better theoretical characterization of the Z 2 QSL states with fundamental probe such as the EE, and its future connection with the experimental reality such as the existences of magnetic impurities [71], will certainly help to eventually reveal the existence of fractionalized excitations and anyonic statistics in Kagome based quantum magnets [72,73].…”

Section: Z2 Quantum Spin Liquid On Kagome Latticementioning

confidence: 98%

Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations

Zhao,

Chen,

Wang

et al. 2021

Preprint

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To hear the shape of a quantum drum is in principle not a mission impossible, where the shape means the conformal field theory (CFT) description of certain quantum phases and phase transitions in a (2 + 1)d manifold and the drum beat means some characteristic (such as spectral) measurements of the quantum system whose structure reveals the CFT information. In realistic quantum many-body lattice models, however, measurements such as the finite size scaling of the entanglement entropy with reliable data to extract the CFT characteristics, are rare due to the numerical difficulties in the precise measurement of entanglement with replicas of the partition functions. To overcome this problem, we design a generic computation protocol to obtain the Rényi entanglement entropy of the aforementioned systems with efficiency and precision. Our method, dubbed "Qiu Ku" algorithm, is based on the massive parallelization of the nonequilibrium increment processes in quantum Monte Carlo simulations. To demonstrate its power, we show the results on a few important yet difficult (2 + 1)d quantum lattice models, ranging from Heisenberg quantum antiferromagnet with spontaneous symmetry breaking, quantum critical point with O(3) CFT to the toric code Z2 topological ordered state and the Kagome Z2 quantum spin liquid model with frustration and multi-spin interactions. In all these cases, our method reveals either the precise CFT data from the logarithmic correction or quantum dimension of the topological order, with unprecedentedly large system sizes, controlled errorbars and minimal computational costs. Our "Qiu Ku" algorithm therefore helps one to clearly hear the shapes of various difficult yet important quantum drums.

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“…While this is supposed to be easy to observe experimentally, the existence of a few percent of magnetic Cu 2+ ions on the nonmagnetic Zn 2+ sites makes the low-energy spectrum and low-temperature thermodynamical properties dominated by these impurity spins [40][41][42]. Similar issues have also found in many other KHAs [43][44][45][46][47][48]. To avoid the site disorder, YCu 3 (OH) 6 Cl 3 has been synthesized with also perfect Cu 2+ kagome planes but no site mixing due to very different ionic sizes of Y 3+ and Cu 2+ [49,50].…”

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confidence: 88%

Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu$_3$(OH)$_6$Br$_2$[Br$_{x}$(OH)$_{1-x}$]

Zeng,

Ma,

et al. 2021

Preprint

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We studied the magnetic properties of YCu3(OH)6Br2[Br1−x(OH)x] (x = 0.33 and 0.45), where Cu 2+ ions form two-dimensional kagome layers. There is no magnetic order down to 50 mK while the Curie-Weiss temperature is in the order of -100 K. At zero magnetic field, the low-temperature specific heat shows a T 2 dependence. Above 2 T, a linear-temperature dependence term in specific heat emerges, and the value of γ = C/T increases linearly with the field. Furthermore, the magnetic susceptibility tends to a constant value at T = 0. Our results suggest that the magnetic ground state of YCu3(OH)6Br2[Br1−x(OH)x] is consistent with a Dirac quantum-spin-liquid state with linearly dispersing spinon strongly coupled with emergent gauge field, which has long been theoretically proposed as a candidate ground state in the two-dimensional kagome Heisenberg antiferromagnetic system.

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Evidence for the topological order in a kagome antiferromagnet

Cited by 20 publications

References 59 publications

Dynamics of Topological Excitations in a Model Quantum Spin Ice

Dynamics of Topological Excitations in a Model Quantum Spin Ice

Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations

Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu$_3$(OH)$_6$Br$_2$[Br$_{x}$(OH)$_{1-x}$]

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