代表性成果简介：

拓扑物理是基础物理研究的核心前沿之一，是超越朗道相变理论的新物理范式，历史上曾三次获得诺贝尔奖的表彰。过去四十年来，拓扑物理理论得到了丰富的发展，而拓扑物理实验很多情况下却受限于低温条件，影响了拓扑材料和应用的发展。

为解决以上问题，蒋建华团队利用人工结构中的光子和声子系统，取得了拓扑物理研究的一系列突破。由于光子和声子是天然的非平衡系统，不受平衡态分布的限制，因此可以在室温下实现很多重要的拓扑物理现象。例如，蒋建华团队利用光子系统展示了一种全新的拓扑物理研究范式：通过缺陷表征拓扑材料的性质，并首次实验验证了“拓扑体-缺陷对应关系”(论文发表于Nature 2021)。这一发现揭示了一种现象级的新颖拓扑物理效应，它平行于此前四十年被广泛研究的“拓扑体-边对应关系”，对于拓扑物理和拓扑材料的研究具有极其重要的价值。2022年蒋建华团队进一步在实验上发现了螺位错导致的“拓扑Wannier循环”(Nature Materials 2022)，这一新颖现象的发现标志着“拓扑体-缺陷对应关系”的研究进入一个新的阶段。

在其它方面，蒋建华与合作团队在2019年与国际同行第一批实现了声波系统的高阶拓扑绝缘体，并发现了其中几何参数控制的多维度拓扑相变(Nature Physics 2019)，揭开了高阶拓扑态研究的重要序章。2020年蒋建华团队首次提出高阶外尔半金属的概念(PRL 2020)。高阶外尔半金属是一种新的拓扑物质态，它同时具有外尔半金属和高阶拓扑的物理特征，并且将这二者完美的融合在同一个材料中。蒋建华团队利用声子系统实现了高阶外尔半金属的首次实验验证(Nature Materials 2021)。另外，蒋建华团队实现了非阿贝尔拓扑半金属拓扑相变的首个实验观测，并证实了新的非阿贝尔拓扑物理量(Nature Physics 2021)。非阿贝尔拓扑半金属把拓扑物理研究从过去几十年来单一带隙的传统范畴扩展到多带隙拓扑的新范畴，从而为拓扑物理研究开拓了新的疆域和前沿。

在统计物理方面，蒋建华团队在非弹性热电效应研究方面做出了原创性的贡献。提出的理论奠定了相关问题研究的基础，并首次提出线性热三极管效应以及非弹性热力学过程的概念。在一般性非平衡热力学理论方面，蒋建华提出了能量转换的最优效率和最大功率之间的权衡关系(power-efficiency trade-off relations)，受到广泛认可。此外，蒋建华与合作者推导出了量子热机效率涨落的一般性理论，提出了普遍性的能量合作效应的原理。

代表作：

1.Yang Liu, Shuwai Leung, Fei-Fei Li, Zhi-Kang Lin, Xuefeng Tao, Yin Poo∗, and Jian-Hua Jiang∗, “Bulk-disclination correspondence in topological crystalline insulators”,Nature589, 381-385 (2021). Highlight: Experimental discovery of the topological bulk-disclination correspondence. See Nature: News & Views“Electrons broken into pieces at crystal defects”.

2. Li Luo, Hai-Xiao Wang, Zhi-Kang Lin, Bin Jiang, Ying Wu, Feng Li∗, and Jian-Hua Jiang∗, “Observation of a phononic higher-order Weyl semimetal”, Nature Materials20, 794-799 (2021). Highlight:Experimental discovery of the higher-order Weyl semimetal using a phononic platform.See Nature Materials: News & Views“The sound of Weyl hinges”.

3. Hai-Xiao Wang, Zhi-Kang Lin, Bin Jiang, Guan-Yu Guo, and Jian-Hua Jiang∗, “Higher-Order Weyl Semimetals”, Phys. Rev. Lett.125, 146401 (2020). Highlight:Proposal of a new concept of higher-order Weyl semimetals.

4. Bin Jiang, Adrien Bouhon∗, Zhi-Kang Lin, Xiaoxi Zhou, Bo Hou, Feng Li, Robert- Jan Slager∗, and Jian-Hua Jiang∗, “Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions”,Nature Physics17, 1239-1246 (2021). Highlight: Observation of the Euler class topology and unveil the rich phase transitions of topological semimetals due to the non-Abelian braiding of band nodes. The creation and merging of band nodes are governed by the laws of the non-Abelian topological charges.

5. Xiujuan Zhang, Hai-Xiao Wang, Zhi-Kang Lin, Yuan Tian, Biye Xie, Ming-Hui Lu∗, Yan-Feng Chen, Jian-Hua Jiang∗, “Second-order topology and multi-dimensional topological transitions in sonic crystals”, Nature Physics15, 582 (2019). Highlight:Experimental observation of higher-order topology and multidimensional topological transitions using tunable sonic crystals.

6. Zhi-Kang Lin, Ying Wu∗, Bin Jiang, Yang Liu, Shiqiao Wu, Feng Li∗, and Jian-Hua Jiang∗, “Experimental observation of topological Wannier cycles”, arXiv:2105.02070 under review at Nature Materials (close to acceptance) Highlight: Experimental discovery of topological Wannier cycles---novel fundamental topological phenomena induced by highly localized gauge flux.

7. Hao Ge, Xiang-Yuan Xu, Le Liu, Rui Xu, Si-Yuan Yu, Ming Bao, Jian-Hua Jiang∗, Ming-Hui Lu∗, and Yan-Feng Chen∗, “Observation of acoustic skyrmions, Phys. Rev. Lett.127, 144502 (2021) (Editor’s suggestion) (Featured in APSPhysics Synopsis: Skyrmions Made from Sound Waves). Highlight:The first observation of skyrmion patterns in acoustics.

8. Xiujuan Zhang, Yuan Tian, Jian-Hua Jiang∗, Ming-Hui Lu∗, and Yan-Feng Chen∗, “Observation of higher-order non-Hermitian skin effect”, Nature Communications12, 5377 (2021). Highlight:Experimental observation of higher-order non-Hermitian skin effect.

9. Xiujuan Zhang, Bi-Ye Xie, Hong-Fei Wang, Xiangyuan Xu, Yuan Tian, Jian-Hua Jiang∗, Ming-Hui Lu∗, and Yan-Feng Chen∗, “Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals”, Nature Communications 10, 5331 (2019). Highlight:Experimental discovery of a third-order higher-order topological insulator.

10. Fei-Fei Li, Hai-Xiao Wang, Zhan Xiong, Qun Lou, Ping Chen, Rui-Xin Wu, Yin Poo∗, Jian-Hua Jiang∗, and Sajeev John, “Topological light-trapping on a dislocation”, Nature Communications9, 2462 (2018). Highlight: The first experimental realization of a photonic cavity mode bound to a dislocation due to topological mechanisms.

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Group long-term goals: Topological photonics/phononics/polaritonics, Quantum complex systems