Hai‐Xiao Wang

Ningbo University

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Jian‐Hua Jiang

University of Science and Technology of China

Zhi‐Kang Lin

Zhongkai University of Agriculture and Engineering

Huanyang Chen

Xiamen University

Ming‐Hui Lu

Nanjing University

Guang‐Yu Guo

National Taiwan University

Zhan Xiong

Zhejiang Normal University

Biao Lei

Beijing University of Technology

Yuting Wu

Jingdezhen Ceramic Institute

Yan‐Feng Chen

Nanjing University

Junhui Hu

Guangxi Normal University

Cooperative Institutions

Chinese Academy of Sciences

Nanjing University

Soochow University

Zhejiang University

Collaborative Innovation Center of Advanced Microstructures

Suzhou Institute of Nano-tech and Nano-bionics

University of Science and Technology of China

South China University of Technology

University of Chinese Academy of Sciences

Xiamen University

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Atomic Design of Three-Dimensional Photonic $Z_2$ Dirac and Weyl Points

arXiv (Cornell University) (2016)

Hai‐Xiao Wang Jian‐Hua Jiang Lin Xu Huanyang Chen

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Glided acoustic higher-order topological insulators based on spoof surface acoustic waves

New Journal of Physics (2022)

Zichong Yue Zhiwang Zhang Hai‐Xiao Wang Wei Xiong Ying Cheng

Abstract Higher-order topological insulator hosts both gapped edge states and in-gap corner states, which has garnered considerable attentions in the field of condensed matter physics, and most recently is further extended to the classical wave systems. Conventional acoustic metamaterials have intrinsic material and design limitations that prevent them from being used to create such states in subwavelength scale with function reconfigurability. Recently, the acoustic second-order topological insulators (SOTIs) composed of locally resonant metamaterials were reported to solve the problem, where the topological phase transition is induced by shrinking/expanding metamolecules. Here, we propose an acoustic SOTI in subwavelength scale by another protocol, i.e. gliding metamolecules, and the SOTI is pinned in the nontrivial region without the regular topological phase transition. Soda cans metamaterials in free space are utilized to support the spoof surface acoustic waves. With varying the introduced glided angle, the switching from the bulk to edge and corner states can be achieved accordingly. Furthermore, we not only experimentally observe this state switching process, but also illustrate the robustness of the topological corner states against various defects. Our results provide versatile ways to launch acoustic lower-dimensional topological states that might lead to interesting sound concentration applications.

Topological insulator

Acoustic Metamaterials

Reconfigurability

Robustness

Topological defect

10.1088/1367-2630/ac66f7

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Citations (9)

Observation of a phononic higher-order Weyl semimetal

Nature Materials (2021)

Li Luo Hai‐Xiao Wang Zhi‐Kang Lin Bin Jiang Ying Wu

Weyl semimetal

Topological insulator

Mirror symmetry

10.1038/s41563-021-00985-6

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Citations (142)

Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry

Physical review. B./Physical review. B (2020)

Zhan Xiong Zhi‐Kang Lin Hai‐Xiao Wang Xiujuan Zhang Ming‐Hui Lu

Macroscopic two-dimensional (2D) sonic crystals with inversion symmetry are studied to reveal higher-order topological physics in classical wave systems. By tuning a single geometry parameter, the band topology of the bulk and the edges can be controlled simultaneously. The bulk band gap forms an acoustic analog of topological crystalline insulators with edge states which are gapped due to symmetry reduction on the edges. In the presence of mirror symmetry, the band topology of the edge states can be characterized by the Zak phase, illustrating the band topology in a hierarchy of dimensions, which is the key feature of higher-order topological phenomena. Moreover, the edge bands undergo topological transitions without closing the bulk band gap, revealing rich topological physics in both the bulk and edges. We characterize the higher-order topological bands using symmetry indicators in the Brillouin zone and link the symmetry indicators with the corner charge---a corner topological index. This approach allows us to identify higher-order topological boundary states through symmetry properties of the Bloch bands. We then generalize the higher-order topological phenomena protected by the inversion symmetry to arch-shaped sonic crystals with nonsymmorphic symmetries where similar but slightly different topological phenomena are revealed. In these systems, the rich, multidimensional topological transitions can be exploited for topological transfer among 0D (corner), 1D (edge), and 2D (bulk) acoustic modes by tuning the geometry of acoustic metamaterials.

Point reflection

Topological insulator

Brillouin zone

10.1103/physrevb.102.125144

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Citations (36)

Dynamic weighted identification method for energy big data anomalies based on optimal sub segment deep learning

Jianxin Sui Houhui Xiong Mao Miao Hai‐Xiao Wang Chunlan Guo

In response to the low accuracy and high false alarm rate of anomaly identification in energy big data, this paper proposes a dynamic weighted identification method for energy big data anomalies based on optimal sub segment deep learning. This method deeply mines the optimal sub segments in energy big data, uses deep learning techniques to automatically learn advanced feature representations in the data, and combines dynamic weighting strategies to accurately identify abnormal behavior. By selecting the optimal sub segment, this method can focus on the data features most relevant to abnormal behavior, improving recognition accuracy. The experimental results show that the proposed method can capture subtle changes in abnormal energy big data, further enhancing the accuracy of recognition and reducing the false alarm rate. In summary, the method proposed in this article has high accuracy and low false alarm rate in the field of energy big data anomaly recognition, providing strong technical support for decision-making, optimization, and management in the energy industry.

Identification

10.1117/12.3038122

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Driver’s Visual Distraction Characteristics Based on Traffic Flow Category

CICTP 2021 (2020)

Bo Wang Hai‐Xiao Wang Ke Ji Qi Mi

The use of mobile phones during driving can lead to visual distraction. In order to study the impact of visual distraction on driving safety, a simulation driving platform is used to set up two types of traffic environments: free flow and following flow. Fifty drivers intermittently use their mobile phone as a driving sub-task to simulate the natural driving process. Eye movement parameters such as gaze time, gaze area, and gaze deviation are collected, as well as vehicle motion parameters such as vehicle speed and acceleration during the distraction and normal driving. The experimental data was analyzed according to BeGaze and Matlab. The results show that the driver's gaze area deviates from the main field of view when distracted under different traffic flow conditions, and the search path changes in a jump; the distraction in the follow-up flow state, the driver's effective visual search range decreases more intensely.

10.1061/9780784483053.318

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Citations (1)

Nonsymmorphic Topological Quadrupole Insulator in Sonic Crystals

arXiv (Cornell University) (2019)

Zhi‐Kang Lin Hai‐Xiao Wang Ming‐Hui Lu Jian‐Hua Jiang

The discovery of quadrupole topology opens a new horizon in the study of topological phenomena. However, the existing experimental realizations of quadrupole topological insulators in symmorphic lattices with $\pi$-fluxes often break the protective mirror symmetry. Here, we present a theory for anomalous quadrupole topological insulators in nonsymmorphic crystals without flux, using 2D sonic crystals with $p4gm$ and $p2gg$ symmetry groups as concrete examples. We reveal that the anomalous quadrupole topology is protected by two orthogonal glide symmetries in square or rectangular lattices. The distinctive features of the anomalous quadrupole topological insulators include: (i) minimal four bands below the topological band gap, (ii) nondegenerate, gapped Wannier bands and special Wannier sectors with gapped composite Wannier bands, (iii) quantized Wannier band polarizations in these Wannier sectors. Remarkably, the protective glide symmetries are well-preserved in the sonic-crystal realizations where higher-order topological transitions can be triggered by symmetry or geometry engineering.

Topological insulator

Wannier function

Mirror symmetry

Lattice (music)

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Citations (3)

3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction

arXiv (Cornell University) (2016)

Hai‐Xiao Wang Yige Chen Zhi Hong Hang Hae‐Young Kee Jian‐Hua Jiang

We propose to simulate 3D Dirac points and line-nodes with nontrivial $Z_2$ topology in nonsymmorphic all-dielectric photonic-crystals with space-time reversal symmetry, which can be realized at infrared and microwave frequencies. Double degeneracy of all Bloch states in high symmetry planes is achieved via nonsymmorphic screw symmetries despite the fundamental obstacle of no Kramers degeneracy in photonic crystals. Two orthogonal screw axes lead to 3D $Z_2$ Dirac points on high symmetry Brillouin zone boundary lines. On the other hand, $Z_2$ line-nodes emerge as protected twofold degeneracy of Bloch bands with opposite mirror parities on the $k_z=0$ plane. The lowest frequency line-node is deterministic because of a degenerate-partner switching mechanism guaranteed by the fundamental properties of Maxwell equations and the nonsymmorphic screw symmetry. A pair of Fermi arcs with opposite chirality due to $Z_2$ topological Dirac points emerge below the light-line on (100) and (010) photonic-crystal-air interfaces. These robust surface states offer an unique opportunity to realize an "open cavity" with strong interaction between quantum emitters and engineered vacuum with nontrivial Berry phases --- an important step toward topological states of strongly interacting bosons. Realistic calculation for resonant coupling between cavity-photons and phonons in boron nitride thin film yields ultrastrong coupling with vacuum Rabi splitting reaching to $23\%$ of photon frequency. We also show that type-II Dirac cones have anomalous valley selective refraction: birefringence with both positive and negative refractions for one valley, while no refraction for the other.

Brillouin zone

10.48550/arxiv.1608.02437

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Citations (3)

Strong consistency and optimality of spectral clustering in symmetric binary non-uniform Hypergraph Stochastic Block Model

arXiv (Cornell University) (2023)

Hai‐Xiao Wang

Consider the unsupervised classification problem in random hypergraphs under the non-uniform \emph{Hypergraph Stochastic Block Model} (HSBM) with two equal-sized communities ($n/2$), where each edge appears independently with some probability depending only on the labels of its vertices. In this paper, an \emph{information-theoretical} threshold for strong consistency is established. Below the threshold, every algorithm would misclassify at least two vertices with high probability, and the expected \emph{mismatch ratio} of the eigenvector estimator is upper bounded by $n$ to the power of minus the threshold. On the other hand, when above the threshold, despite the information loss induced by tensor contraction, one-stage spectral algorithms assign every vertex correctly with high probability when only given the contracted adjacency matrix, even if \emph{semidefinite programming} (SDP) fails in some scenarios. Moreover, strong consistency is achievable by aggregating information from all uniform layers, even if it is impossible when each layer is considered alone. Our conclusions are supported by both theoretical analysis and numerical experiments.

Hypergraph

Stochastic block model

Adjacency matrix

10.48550/arxiv.2306.06845

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Citations (1)

Observations of Tamm modes in acoustic topological insulators

Applied Physics Letters (2022)

Danwei Liao Zichong Yue Zhiwang Zhang Hai‐Xiao Wang Ying Cheng

The existence of topologically protected boundary states in the Su–Schrieffer–Heeger (SSH) model has been widely explored in various systems in the past decades. On the other hand, a seemingly irrelevant phenomenon of Tamm mode, a defect mode caused by elaborately introducing perturbation into the trivial structures, has also attracted enormous interest. In this Letter, we bridge the gap between acoustic Tamm mode and its correlation rule with typical topological acoustic mode. Starting from the 1D acoustic cavity-based SSH model, the topologically protected edge modes in a complete bandgap are achieved. Through modulating the height of boundary cavity, we find two types of Tamm edge modes both numerically and experimentally and grasp their distinct variation tendency from the topologically protected edge modes. Furthermore, we extend the study to 2D higher-order topological acoustic systems and the lower-dimensional Tamm corner modes are clearly observed. We foresee that the multi-frequency sound confinement introduced by the Tamm localized modes may open a revealing landscape for acoustic functional devices.

Topological insulator

10.1063/5.0093995

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Citations (7)