Topological transition enabled by composite symmetry-breaking paths in trefoil-knot honeycomb lattices

doi:10.1007/s10483-026-3364-6

摘要/Abstract

Abstract:

Topological phases are governed by lattice symmetries, yet how different symmetry-breaking paths (SBPs) affect topological transitions remains insufficiently understood. Most existing studies rely on a single SBP, and address only one bandgap, limiting independent control of multiple gaps. Here, we investigate multiple isolated Dirac points in a trefoil-knot-modified honeycomb lattice, and show that a single SBP generally inverts all relevant Dirac points simultaneously, whereas the tailored combinations of SBPs enable selective and programmable band inversion at targeted gaps. The excitation-dependent responses reveal strong modal selectivity. This capability is exploited to realize independently controllable multi-channel signal splitting, which is unattainable with a single SBP. The results enable SBPs as an effective design degree of freedom for programmable and reconfigurable topological elastic devices.

Key words: symmetry-breaking path (SBP), honeycomb-like metastructure, topological metamaterial

中图分类号:

O347.4

. [J]. Applied Mathematics and Mechanics (English Edition), 2026, 47(3): 497-508.

Tai REN, Xiuhui HOU, Tingting WANG, Zhiwei ZHU, Kai ZHANG, Zichen DENG. Topological transition enabled by composite symmetry-breaking paths in trefoil-knot honeycomb lattices[J]. Applied Mathematics and Mechanics (English Edition), 2026, 47(3): 497-508.

图/表 8

参考文献 33

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