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Type-II higher-order Weyl phononic crystals with selective hinge activation

Haobin Zhang1,*, Xiaoming Li1,*, Zhijie Xue2,*, Quanquan Shi1, Jiajun Lu1, Yingyi Huang1, Jiebin Peng1, Jianhua Guo3, Li Luo1,† et al.

Degang Zhao2,‡, Xin Zhang1,§, Jiuyang Lu4, and Zhengyou Liu4

  • *These authors contributed equally to this work.
  • †Contact author: luoliphys@gdut.edu.cn
  • ‡Contact author: dgzhao@hust.edu.cn
  • §Contact author: phxzhang@gdut.edu.cn

Phys. Rev. B 114, 084102 – Published 4 August, 2026

DOI: https://doi.org/10.1103/37h9-c8c5

Abstract

Higher-order topological phases enrich topological classifications by enabling boundary states in multiple dimensions. Despite progress in phononic realizations of type-I higher-order semimetals, type-II phases remain experimentally elusive due to complicated interlayer couplings. Here, we propose a simple and universal mechanism to induce higher-order topological phase transitions from type-I to type-II semimetals via tunable interlayer coupling in a tight-binding model. Guided by this framework, we realize a type-II higher-order Weyl acoustic scatterer structure with C2 symmetry that simultaneously supports two-dimensional Fermi arc surface states and one-dimensional hinge states. The acoustic architecture faithfully reproduces the tight-binding band dispersion, enabling direct experimental observation. Notably, the hinge-state selectivity is modulated not only by bulk topology but also by boundary potentials engineered through unit-cell rotation. This rotation enables selective activation of hinge states, allowing precise control over their spatial distribution. Our work provides a versatile platform for exploring higher-order topological semimetals and opens opportunities for programmable acoustic waveguides and energy manipulation.

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