中国物理B ›› 2025, Vol. 34 ›› Issue (10): 100307-100307.doi: 10.1088/1674-1056/add90c

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Antichiral edge states in a square lattice

Peng-Yu Guo(郭鹏宇)1, Wei Li(黎炜)1, Junhui Hu(胡君辉)1, and Hai-Xiao Wang(王海啸)1,2,†   

  1. 1 School of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
    2 School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
  • 收稿日期:2025-04-19 修回日期:2025-05-13 接受日期:2025-05-15 发布日期:2025-10-11
  • 通讯作者: Hai-Xiao Wang E-mail:wanghaixiao@nbu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 12474432), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2023GXNSFAA026048), and the Start-up Funding from Ningbo University.

Antichiral edge states in a square lattice

Peng-Yu Guo(郭鹏宇)1, Wei Li(黎炜)1, Junhui Hu(胡君辉)1, and Hai-Xiao Wang(王海啸)1,2,†   

  1. 1 School of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
    2 School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
  • Received:2025-04-19 Revised:2025-05-13 Accepted:2025-05-15 Published:2025-10-11
  • Contact: Hai-Xiao Wang E-mail:wanghaixiao@nbu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 12474432), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2023GXNSFAA026048), and the Start-up Funding from Ningbo University.

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摘要： Recent advances in topological phases with broken time-reversal symmetry unveil a novel gapless topological phase, i.e., antichiral edge state, featuring co-propagating along the parallel edges. However, to date, such antichiral edge states are only realized in the modified Haldane model, which are based on the honeycomb lattice. Here, we realize the antichiral edge states in a square-lattice tight-binding model with complex nearest-neighbor coupling and both positive and negative next-nearest-neighbor couplings. In contrast to previous proposals, the complex nearest-neighbor coupling breaks the time-reversal symmetry, and the negative next nearest-neighbor coupling shift two Dirac points in energy. We also propose a possible scheme to realize our model with the assistance of acoustic metamaterials. The existence of antichiral edge states is revealed through full-wave simulation of the band structure and acoustic fields excited by a point source.

关键词: Haldane model, edge states, acoustic metamaterials

Abstract: Recent advances in topological phases with broken time-reversal symmetry unveil a novel gapless topological phase, i.e., antichiral edge state, featuring co-propagating along the parallel edges. However, to date, such antichiral edge states are only realized in the modified Haldane model, which are based on the honeycomb lattice. Here, we realize the antichiral edge states in a square-lattice tight-binding model with complex nearest-neighbor coupling and both positive and negative next-nearest-neighbor couplings. In contrast to previous proposals, the complex nearest-neighbor coupling breaks the time-reversal symmetry, and the negative next nearest-neighbor coupling shift two Dirac points in energy. We also propose a possible scheme to realize our model with the assistance of acoustic metamaterials. The existence of antichiral edge states is revealed through full-wave simulation of the band structure and acoustic fields excited by a point source.

Key words: Haldane model, edge states, acoustic metamaterials

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
05.30.Rt (Quantum phase transitions) 43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)