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Unified characterization for higher-order topological phase transitions

Wei Jia1,2, Xin-Chi Zhou1,2, Lin Zhang3, Long Zhang4, and Xiong-Jun Liu1,2,5,*

  • 1International Center for Quantum Materials and School of Physics, Peking University, Beijing 100871, China
  • 2Hefei National Laboratory, Hefei 230088, China
  • 3ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain
  • 4School of Physics and Institute for Quantum Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 5International Quantum Academy, Shenzhen 518048, China

  • *xiongjunliu@pku.edu.cn

Breakdown of the symmetry constraint in a Floquet topological insulator

Ming-Jian Gao and Jun-Hong An

Phys. Rev. B 113 L041103 (2026)

Diagnosing Floquet Chern and Anomalous Topological Insulators Based on Bloch Oscillations

Maowu Zuo, Yongguan Ke, Zhoutao Lei, and Chaohong Lee

Laser & Photonics Reviews 20 e00780 (2026)

Topological bulk and edge correlations in a Kitaev model on a square lattice

E S Ma, K L Zhang, and Z Song

Phys. Scr. 100 035975 (2025)

Multiple topological corner states in the continuum of extended kagome lattice

Shun-Peng Zhang, Ming-Jian Gao, Wei Jia, and Jun-Hong An

Phys. Rev. B 112 L121106 (2025)

Unconventional hybrid-order topological insulators

Wei Jia, Yuping Tian, Huanhuan Yang, Xiangru Kong, Zhi-Hao Huang, Wei-Jiang Gong, and Jun-Hong An

Phys. Rev. B 112 L241103 (2025)

Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes

Xun-Jiang Luo and Fengcheng Wu

Phys. Rev. B 111 245143 (2025)

Symmetries and topological phase transitions in modified Haldane models with long-range hoppings and gain-loss effects

Xiao-Cui Chen, Xiao-Feng Nie, Ye-Wei-Yi Li, and Wen-Xue Cui

Front. Phys. 13 1572883 (2025)

Dynamical topological quantum phase transitions in high-order topological systems

Hai-Xiao Xiao, Weilun Jiang, Peng Qian, Hongju Li, Zhongjun Li, Heng Shen, and Bing Chen

Phys. Rev. B 110 064306 (2024)

Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry

Xiaoyu Zhu

Phys. Rev. B 110 075103 (2024)

Higher-order topology in Fibonacci quasicrystals

Chaozhi Ouyang, Qinghua He, Dong-Hui Xu, and Feng Liu

Phys. Rev. B 110 075425 (2024)

Unveiling higher-order topology via polarized topological charges

Wei Jia, Bao-Zong Wang, Ming-Jian Gao, and Jun-Hong An

Phys. Rev. B 110 L201117 (2024)

Hierarchical topological states in thermal diffusive networks

Biao Chen, Kaiyun Pang, Ru Zheng, and Feng Liu

Phys. Rev. B 109 054312 (2024)

Topologically compatible non-Hermitian skin effect

Rijia Lin and Linhu Li

Phys. Rev. B 109 155137 (2024)

Dynamical characterization of Z2 Floquet topological phases via quantum quenches

Lin Zhang

Phys. Rev. B 109 165110 (2024)

Dynamic winding number for Floquet topological insulators with arbitrarily driving frequencies

Bo Zhu, Zhi Tan, Yongguan Ke, and Honghua Zhong

Phys. Rev. B 109 224315 (2024)

Proposal for realizing and probing topological crystalline insulators in optical lattices

Jing-Xin Liu, Jian-Te Wang, and Shi-Liang Zhu

Phys. Rev. A 110 063309 (2024)

Higher-order topological phases in crystalline and non-crystalline systems: a review

Yan-Bin Yang, Jiong-Hao Wang, Kai Li, and Yong Xu

J. Phys.: Condens. Matter 36 283002 (2024)

Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions

Xun-Jiang Luo and Fengcheng Wu

Phys. Rev. B 108 075143 (2023)

Analytic solution of the n -dimensional Su-Schrieffer-Heeger model

Feng Liu

Phys. Rev. B 108 245140 (2023)

Generating Many Majorana Corner Modes and Multiple Phase Transitions in Floquet Second-Order Topological Superconductors

Longwen Zhou

Symmetry 14 2546 (2022)

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